An 18 karat gold bracelet weighing 0.333 ounces contains approximately 2.16 × 10^22 atoms of gold. This calculation is based on converting the weight to grams, accounting for the 75% gold content of the bracelet, and using Avogadro's number.
Explanation:To calculate how many gold atoms are in an 0.333 ounce, 18 k (karat) gold bracelet, we must first convert the mass of the bracelet into grams since the mass of gold is typically measured in grams. We know that 18 karat gold is comprised of 75% gold by mass. Once the mass of pure gold is identified, we can use Avogadro's number to determine the amount of atoms in that mass.
First, 0.333 ounces is approximately 9.43 grams (1 ounce = 28.3495 grams). Since the bracelet is 18k gold or 75% gold, the mass of pure gold would be 75% of 9.43 grams, which equals approximately 7.0725 grams of gold.
We know from the periodic table that the atomic mass of gold (Au) is approximately 197 g/mol, which means that 1 mole of gold has a mass of about 197 grams. Using this, we can determine the number of moles of gold in our bracelet:
7.0725 grams Au × (1 mole Au / 197 grams Au) = 0.0359 moles Au
Avogadro's number tells us that 1 mole of any substance contains approximately 6.022 × 1023 atoms. So:
0.0359 moles Au × (6.022 × 1023 atoms/mole) = approximately 2.16 × 1022 atoms of gold.
Therefore, an 18 karat gold bracelet weighing 0.333 ounces, which corresponds to 75% gold by mass, contains approximately 2.16 × 1022 atoms of gold.
Sodium carbonate (na2co3) is used to neutralize the sulfuric acid spill. how many kilograms of sodium carbonate must be added to neutralize 5.04Ã103 kg of sulfuric acid solution? express your answer with the appropriate units.
Which of the following is a heterogeneous mixture
Use the mass spectrum of rubidium to determine the atomic mass of rubidium.
The atomic mass of rubidium can be determined using the mass spectrum of rubidium obtained from a mass spectrometer.
Explanation:The atomic mass of rubidium can be determined using the mass spectrum of rubidium obtained from a mass spectrometer. In a mass spectrometer, a sample of rubidium is vaporized and exposed to high-energy electrons, causing the rubidium atoms to become charged ions. These ions are then accelerated into a magnetic field, and the extent to which they are deflected depends on their mass-to-charge ratios. By measuring the relative deflections of the ions and analyzing the mass spectrum, chemists can determine the mass of rubidium.
How many total atoms are in 0.250g of P2O5?
Explanation:
According to the mole concept, there are [tex]6.022 \times 10^{22}[/tex] atoms present.
It is given that mass is 0.250 g. And, number of moles are equal to mass divided by molar mass.
Mathematically, No. of moles = [tex]\frac{mass}{\text{molar mass}}[/tex]
As molar mass of [tex]P_{2}O_{5}[/tex] is 283.88 g/mol. Therefore, putting given values into the above formula as follows.
No. of moles = [tex]\frac{mass}{\text{molar mass}}[/tex]
= [tex]\frac{0.250 g}{283.88 g/mol}[/tex]
= 0.0008 mol
Hence, number of atoms present in 0.0008 mol are as follows.
[tex]0.0008 mol \times 6.022 \times 10^{22} atoms/mol[/tex]
= 0.0048 atoms
Thus, we can conclude that there are 0.0048 atoms in 0.250 g of [tex]P_{2}O_{5}[/tex].
If 0.250 g of a gas sample represents 1.05x10–2 mol, what is the molar mass of the gas?
Which statement is an opinion? Different varieties of fruit can have the same color. All raspberries are the same color. Fruit is good for breakfast. Fruit is a good source of nutrition.
You are on an alien planet where the names for substances and the units of measures are very unfamiliar.
Nonetheless, you obtain 29 quibs of a substance called skvarnick.
You can trade this skvarnick for gold coins, but the vendors all measure skvarnick in units of sleps; not quibs.
10 quibs is equal to 4 sleps.
If you have 29 quibs of skvarnick, how many sleps do you have?
Round your answer to the nearest tenth (one decimal place).
Answer:
If we have 29 quibs of skvarnick they will be equal to 11.6 sleps.
Explanation:
Mass of a substance called skvarnick = 29 quibs
10 quibs is equal to 4 sleps. This means that 1 quibs is equal to 0.4 sleps.
10 quibs = 4 sleps
1 quibs = [tex]\frac{4}{10} sleps = 0.4 sleps[/tex]
Then 29 quibs will be:
[tex]29 quibs=29\times 0.4 sleps =11.6 sleps[/tex]
If we have 29 quibs of skvarnick they will be equal to 11.6 sleps.
When comparing elements in the same column of the periodic table, which factor- distance or the number of protons seems to be the dominant factor?
In the periodic table, elements in the same column share similar properties due to the same number of protons or atomic number, not their distance from each other.
Explanation:When comparing elements in the same column of the periodic table, the dominant factor is the number of protons, which is associated with the atomic number of the element, not the distance.
The periodic table is designed in such a way that it arranges elements in increasing order of their atomic numbers, from top to bottom and left to right. The atomic number is essentially the number of protons in an element's nucleus. Furthermore, in electrically neutral atoms, the atomic number also equates to the number of electrons which determine the chemical behaviour of an element.
Elements that belong in the same column or group in the periodic table have the same electron configuration in their outer shells, which means they possess the same number of valence electrons. This, not the distance among them, accounts for the shared chemical characteristics among elements in the same group. For instance, both Lithium (Li) and Sodium (Na), which belong to the same column, both have one valence electron in their outermost shell.
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The number of protons, or the atomic number, is the primary factor when comparing elements in the same column of the periodic table. The number of protons directly influences the properties of elements, including how they bond with other elements, as these properties are a periodic function of their atomic numbers.
Explanation:When comparing elements in the same column of the periodic table, the dominant factor is the number of protons, also known as the atomic number. The periodic table is arranged in increasing order of atomic numbers and atoms with similar properties are grouped in the same column. This is because the properties of the elements are periodic functions of their atomic numbers.
All electrically neutral atoms, the number of protons is equal to the number of electrons. Thus, each element, when electrically neutral, has a unique number of electrons equivalent to its atomic number. For instance, Li and Na atoms bond similarly to other atoms because they belong to the same column and have the same number of valence electrons. So, the number of protons is the primary factor for the properties of elements in the same column of the periodic table, not the distance.
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A 0.1510 gram sample of a hydrocarbon produces 0.5008 gram CO2 and 0.1282 gram H2O in combustion analysis. Its
molecular weight is found to be 106. For this hydrocarbon, determine (a) it‟s percent composition; (b) its empirical
formula; (c) its molecular formula.
To determine the percent composition of the hydrocarbon, we first need to calculate the mass of carbon and hydrogen in the sample. From the combustion analysis, we can obtain the masses of CO2 and H2O produced. By comparing the moles of carbon and hydrogen, we can determine the empirical formula. The molecular formula is found by comparing the empirical formula mass with the given molar mass. Hence the correct answer is option B
Explanation:To determine the percent composition of the hydrocarbon, we first need to calculate the mass of carbon and hydrogen in the sample. From the combustion analysis, we know that 0.5008 grams of CO2 is produced. Since the molar mass of CO2 is 44.01 g/mol, this corresponds to 0.0114 moles of CO2. Similarly, we know that 0.1282 grams of H2O is produced. With the molar mass of H2O being 18.02 g/mol, this corresponds to 0.00713 moles of H2O. From these values, we can calculate the moles of carbon and hydrogen:
Moles of carbon = 0.0114 moles CO2 * 1 mole C / 1 mole CO2 = 0.0114 moles C
Moles of hydrogen = 0.00713 moles H2O * 2 moles H / 1 mole H2O = 0.01426 moles H
Now we divide both values by the smallest number of moles, which is 0.0114 moles:
Moles of carbon = 0.0114 moles C / 0.0114 moles C = 1 mole C
Moles of hydrogen = 0.01426 moles H / 0.0114 moles C = 1.25 moles H
The empirical formula therefore is CH. To find the molecular formula, we need to compare the empirical formula mass (14.03 g/mol) with the given molar mass (106 g/mol). The ratio is 106 g/mol / 14.03 g/mol = 7.56. This means that the molecular formula is 7.56 times the empirical formula, giving us C7.56H7.56. To simplify, we round this to C8H8. Therefore, the molecular formula of the hydrocarbon is C8H8.
Hence the correct answer is option B
The value of ksp for srso4 is 2.8x10-7. what is the solubility of srso4 in moles per liter? 7.6 x 10-7 1.4 x 10-7 5.3 x 10-4 2.8 x 10-7
Answer : The correct answer is [tex]5.3\times 10^{-4}moles/L[/tex].
Solution : Given,
[tex]K_{sp}=2.8\times 10^{-7}[/tex]
The balanced equilibrium reaction is,
[tex]SrSO_4\rightleftharpoons Sr^{2+}+SO^{2-}_4[/tex]
At equilibrium s s
The expression for solubility constant is,
[tex]K_{sp}=[Sr^{2+}][SO^{2-}_4][/tex]
Now put the given values in this expression, we get
[tex]2.8\times 10^{-7}=(s)(s)\\2.8\times 10^{-7}=s^2\\s=5.29\times 10^{-4}=5.3\times 10^{-4}moles/L[/tex]
Therefore, the solubility of [tex]SrSO_4[/tex] in moles/L is [tex]5.3\times 10^{-4}[/tex].
Answer: The solubility of [tex]SrSO_4[/tex] is [tex]5.3\times 10^{-4}mol/L[/tex]
Explanation:
It is given that [tex]K_{sp}[/tex] of strontium sulfate is [tex]2.8\times 10^{-7} [/tex]
The balanced equilibrium reaction for ionization of [tex]SrSO_4[/tex] is given by:
[tex]SrSO_4\rightleftharpoons Sr^{2+}+SO^{2-}_4[/tex]
At equilibrium: s s
The equation to calculate solubility constant is given as:
[tex]K_{sp}=[Sr^{2+}][SO^{2-}_4][/tex]
Now put the given values in above equation, we get:
[tex]2.8\times 10^{-7}=(s)(s)\\2.8\times 10^{-7}=s^2\\s=5.29\times 10^{-4}\approx 5.3\times 10^{-4}moles/L[/tex]
Therefore, the solubility of [tex]SrSO_4[/tex] is [tex]5.3\times 10^{-4}mol/L[/tex]
According to the bohr model of the atom, which electron transition would correspond to the shortest wavelength line in the visible emission spectra for hydrogen? hints
n = 6 to n = 2
Further explanationFrom several sources, we have prepared the following answer choices:
A. n = 2 to n = 5
B. n = 6 to n = 4
C. n = 3 to n = 2
D. n = 6 to n = 2
We will determine which electron transition would correspond to the shortest wavelength line in the visible emission spectra for hydrogen.
The amount of energy released or absorbed by electrons when moving from n₁ level to n₂ level is equal to
[tex]\boxed{ \ \Delta E = -13.6 \Big( \frac{1}{n_2^2} - \frac{1}{n_1^2} \Big) \ }[/tex] in eV.
This energy difference is equal to [tex]\boxed{ \ hf = \frac{hc}{\lambda} \ }[/tex], where f and λ are the frequency and wavelength of the radiation emitted or absorbed.
Thus, the wavelength is inversely proportional to the energy difference from the electron transition. To get the shortest wavelength, it is determined by the largest ΔE.
From the formula above, we practically only need to calculate part [tex]\boxed{ \ \Big( \frac{1}{n_2^2} - \frac{1}{n_1^2} \Big) \ }[/tex] which is directly proportional to ΔE. Then from the results of the calculation of this section, we will get the shortest wavelength from the largest result..
A. n₁ = 2 to n₂ = 5
[tex]\boxed{ \ \Big( \frac{1}{5^2} - \frac{1}{2^2} \Big) \ }[/tex]
[tex]\boxed{ \ -\frac{21}{100} \ }[/tex]
By taking the absolute value, we get [tex]\boxed{ \ 0.210 \ }[/tex]
B. n₁ = 6 to n₂ = 4
[tex]\boxed{ \ \Big( \frac{1}{4^2} - \frac{1}{6^2} \Big) \ }[/tex]
[tex]\boxed{ \ \frac{5}{144} \ }[/tex]
We get [tex]\boxed{ \ 0.0347 \ }[/tex]
C. n₁ = 3 to n₂ = 2
[tex]\boxed{ \ \Big( \frac{1}{2^2} - \frac{1}{3^2} \Big) \ }[/tex]
[tex]\boxed{ \ \frac{5}{36} \ }[/tex]
We get [tex]\boxed{ \ 0.1389 \ }[/tex]
D. n₁ = 6 to n₂ = 2
[tex]\boxed{ \ \Big( \frac{1}{2^2} - \frac{1}{6^2} \Big) \ }[/tex]
[tex]\boxed{ \ \frac{2}{9} \ }[/tex]
We get [tex]\boxed{ \ 0.222 \ }[/tex]
The last calculation above shows the greatest results so that the shortest wavelength is undoubtedly gained from the electron transition n = 6 to n = 2.
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The electronic transition from [tex]\boxed{{\text{D}}{\text{. n}} = {\text{6 to n}} = {\text{2}}}[/tex] corresponds to the shortest wavelength.
Further explanation:
Rydberg equation describes the relation of wavelength of spectral line with the transition values. The expression for Rydberg equation is as follows:
[tex]\dfrac{1}{\lambda } = \left( {{{\text{R}}_{\text{H}}}} \right)\left( {\dfrac{1}{{{{\left( {{{\text{n}}_{\text{1}}}} \right)}^2}}} - \dfrac{1}{{{{\left( {{{\text{n}}_{\text{2}}}} \right)}^2}}}} \right)[/tex] …… (1)
Here,
[tex]\lambda[/tex] is the wavelength of spectral line
[tex]{{\text{R}}_{\text{H}}}[/tex] is Rydberg constant that has the value
[tex]{{\text{n}}_{\text{1}}}[/tex] and [tex]{{\text{n}}_{\text{2}}}[/tex] are the two positive integers, where .
Rearrange equation (1) to calculate .
[tex]\lambda = \dfrac{1}{{\left( {1.097 \times {{10}^7}{\text{ }}{{\text{m}}^{ - 1}}} \right)\left( {\dfrac{1}{{{{\left( {{{\text{n}}_1}} \right)}^2}}} - \dfrac{1}{{{{\left( {{{\text{n}}_{\text{2}}}} \right)}^2}}}} \right)}}[/tex] …… (2)
A. n = 2 to n = 5
Substitute 2 for [tex]{{\text{n}}_{\text{1}}}[/tex] and 5 for [tex]{{\text{n}}_{\text{2}}}[/tex] in equation (2).
[tex]\begin{aligned}\lambda&= \frac{1}{{\left( {1.097 \times {{10}^7}{\text{ }}{{\text{m}}^{ - 1}}} \right)\left( {\frac{1}{{{{\left( 2 \right)}^2}}} - \frac{1}{{{{\left( 5 \right)}^2}}}} \right)}} \\&= 4.34 \times {10^{ - 7}}{\text{ m}}\\\end{aligned}[/tex]
B. n = 6 to n = 4
Substitute 4 for [tex]{{\text{n}}_{\text{1}}}[/tex] and 6 for [tex]{{\text{n}}_{\text{2}}}[/tex] in equation (2).
[tex]\begin{aligned}\lambda&= \frac{1}{{\left( {1.097 \times {{10}^7}{\text{ }}{{\text{m}}^{ - 1}}} \right)\left( {\frac{1}{{{{\left( 4 \right)}^2}}} - \frac{1}{{{{\left( 6 \right)}^2}}}} \right)}}\\&= 2.63 \times {10^{ - 6}}{\text{ m}}\\\end{aligned}[/tex]
C. n = 3 to n = 2
Substitute 2 for [tex]{{\text{n}}_{\text{1}}}[/tex] and 3 for [tex]{{\text{n}}_{\text{2}}}[/tex] in equation (2).
[tex]\begin{aligned}\lambda &= \frac{1}{{\left( {1.097 \times {{10}^7}{\text{ }}{{\text{m}}^{ - 1}}}\right)\left( {\frac{1}{{{{\left( 2 \right)}^2}}} - \frac{1}{{{{\left( 3 \right)}^2}}}} \right)}} \\ &= 6.56 \times {10^{ - 7}}{\text{ m}}\\\end{aligned}[/tex]
D. n = 6 to n = 2
Substitute 2 for [tex]{{\text{n}}_{\text{1}}}[/tex] and 6 for [tex]{{\text{n}}_{\text{2}}}[/tex] in equation (2).
[tex]\begin{aligned}\lambda&= \frac{1}{{\left( {1.097 \times {{10}^7}{\text{ }}{{\text{m}}^{ - 1}}} \right)\left({\frac{1}{{{{\left( 2 \right)}^2}}} - \frac{1}{{{{\left( 6 \right)}^2}}}}\right)}} \\&= 4.10 \times {10^{ - 7}}{\text{ m}}\\\end{aligned}[/tex]
The value of [tex]\lambda[/tex] for transition from n = 6 to n = 2 is the least and therefore this transition corresponds to the shortest wavelength.
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Answer details:
Grade: Senior School
Subject: Chemistry
Chapter: Atomic structure
Keywords: Rydberg constant, wavelength, n1, n2, positive integers, transition, 2, 6, 3, 5, transition, Rh, spectral line, shortest wavelength.
Describe the four main spheres of Earth. 1. lithosphere: 2. hydrosphere: 3. atmosphere: 4. biosphere:
What causes a substance to change states of matter?
A compound has a molar mass of 44.01 g/mol. What is its identity?
Final answer:
The substance with a molar mass of 44.01 g/mol is carbon dioxide (CO2), which can be deduced by calculating the combined molar masses of one carbon atom and two oxygen atoms.
Explanation:
The question concerns the identification of a compound with a molar mass of 44.01 g/mol. One well-known substance with this molar mass is carbon dioxide (CO2). To arrive at this conclusion, one can examine the atomic masses of carbon and oxygen. Carbon has a molar mass of about 12.01 g/mol, while oxygen has a molar mass of about 16.00 g/mol. Given that carbon dioxide is composed of one carbon atom and two oxygen atoms, the total molar mass can be calculated as follows: 12.01 amu (for carbon) + 2 × 16.00 amu (for each oxygen) = 44.01 amu, which corresponds to g/mol when talking about molar mass. Hence, the molecular mass of carbon dioxide is 44.01 g/mol.
the degree to which two separate structures that are close together can be distinguished in an image is called__________. (science)
The degree to which two separate structures that are close together can be distinguished in an image is called resolution.
What is image?A visual depiction of anything is what an image is. It may be this double, three-dimensional, or feed into to the visual system in another way to provide information.
To be a graphic illustration, a picture does not need to utilise the complete visual system. A common example is a greyscale picture, which use the visual system's responsiveness to brightness throughout all wavelengths without accounting for differing colors. The degree to which two separate structures that are close together can be distinguished in an image is called resolution.
Therefore, the degree to which two separate structures that are close together can be distinguished in an image is called resolution.
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A 5.0 gram sample of lead and a 3.2 gram sample of iron are placed into 367 mL of water. What will be the new volume level of water in units of mL?
Draw structures for all constitutional isomers with the molecular formula c2h5cl
Two constitutional isomers exist for C2H5Cl: 1-chloroethane (ethyl chloride) and 2-chloroethane (chloroethane), with chlorine bonded to different carbon atoms in each isomer.
Explanation:The student has asked to draw structures for all constitutional isomers with the molecular formula C2H5Cl, which is a chemical exercise focusing on understanding the different ways in which atoms can be rearranged in space to create molecules with the same molecular formula but different structures.
There are actually only two constitutional isomers with the formula C2H5Cl. These isomers are:
1-chloroethane (ethyl chloride): CH3CH2Cl2-chloroethane (chloroethane): CH3ClCH3In these structures, the chlorine atom is bonded to different carbon atoms, resulting in molecules that have different physical and chemical properties.
How many neutrons do (k) potassium-39 and potassium-40 have, respectively?
What are the necessary steps to prevent oxidation during high temperature
Sodium hydroxide, NaOH; sodium phosphate, Na3PO4; and sodium nitrate, NaNO3, are all common chemicals used in cleanser formulation. Rank the compounds in order from largest mass percent of sodium to smallest mass percent of sodium.
If we had 11.3 g of nitrogen and 2 g of hydrogen, how much nitrogen would remain if all the hydrogen was consumed? g
3H2 + N2 ........> 2NH3
This means that each 6 grams of hydrogen react with 28 grams of nitrogen. To know how many grams of nitrogen are required to react with 2 grams of hydrogen, we will simply do cross multiplication as follows:
mass of nitrogen = (2 x 28) / 6 = 9.334 grams
Therefore, if we have 11.3 grams of nitrogen, 9.334 grams would react with 2 grams of hydrogen.
remaining mass of nitrogen = 11.3 - 9.334 = 1.966 grams
blank is defined as the distance something travels divided by the time it takes
The student's question asks about the definition of average speed, which is the distance traveled divided by the time it takes, and when direction is considered, this measure is referred to as average velocity.
The term the student is asking to define is average speed, which is a fundamental concept in physics. Average speed is calculated by dividing the total distance traveled by the total time it took to travel that distance. When the direction of travel is also taken into account, we refer to this as average velocity, which means that velocity equals displacement (change of position) divided by time.
In practice, if you were traveling in a car and you wanted to figure out your average speed, you would look at the odometer to see the distance covered and then divide by the number of hours or minutes it took to cover that distance.
To put it into symbols, for average speed s, if the total distance traveled is d and the total time taken is t, the average speed is expressed as:
s = d / t
Conversely, average velocity includes direction and is defined by the formula:
v = Δd / Δt
where Δd represents displacement and Δt represents the travel time.
The valence shell holds up to two electrons in which 2 elements? a. H and C b. H and Li c. H and He d. He and Be
Answer : The correct option is, (d) He and Be
Explanation :
First we have to determine the electronic configuration of the following elements.
The electronic configuration of hydrogen (H) is:
[tex]1s^1[/tex]
The electronic configuration of carbon (C) is:
[tex]1s^22s^22p^2[/tex]
The electronic configuration of lithium (Li) is:
[tex]1s^22s^1[/tex]
The electronic configuration of helium (He) is:
[tex]1s^2[/tex]
The electronic configuration of beryllium (Be) is:
[tex]1s^22s^2[/tex]
From the electronic configuration of the elements we conclude that, the hydrogen element has '1' valence electron, carbon element has '4' valence electrons, lithium element has '1' valence electron, helium element has '2' valence electrons and beryllium element has '2' valence electrons.
Thus, the helium and beryllium are the elements that holds up to two electrons in their outermost shell.
Hence, the correct option is, (d) He and Be
Which phrase best defines erosion? A. physically breaking rocks apart B. cementing bits of rock together C. chemically breaking rocks apart D. Moving bits of rock from place to place
Calculate the coulombic force of attraction between ca2+ and o2− in cao, which has the nacl-type structure
If you were asked to convert 25 mg to the unit hg, which of the following would be the first fraction used in the conversion? ten to the negative third power hg over one g ten to the negative third power mg over one hg ten to the negative third power mg over one g ten to the negative third power g over one mg
Compare the ways in which atoms combine to form molecules and compounds
If a drop of blood is 0.05 mL, how many drops of blood are in a blood collection tube that holds 2 mL ?
Final answer:
To find out how many 0.05 mL drops of blood are in a 2 mL blood collection tube, divide the total volume by the volume of one drop. The calculation shows that there are 40 drops in a 2 mL tube.
Explanation:
To determine how many drops of blood are in a blood collection tube that holds 2 mL, we need to understand the relationship between the volume of the drops and the total volume that the tube can hold. Given that each drop of blood is 0.05 mL, we can calculate the number of drops in 2 mL by dividing the total volume by the volume of a single drop.
Here is the step-by-step calculation:
Determine the volume of one drop: 0.05 mL.
Determine the total volume of the collection tube: 2 mL.
Divide the total volume by the volume of one drop: 2 mL / 0.05 mL per drop.
Calculate the number of drops: 40 drops.
What type of microscope is used to show the fine detail of cell organelles, as well as the spindle fibers and chromosomes as seen during anaphase? A) compound light microscope B) binocular stereomicroscope C) scanning electron microscope D) transmission electron microscope
Hiya there friend!!
Your answer is D) Transmission Electron Microscope.
Have A Spooooky Thursday XDDD!!
Happy Halloween!!
Scariest Regards,
-Ans-
in the early studies of chemistry, scientists used properties and changed to help identify compounds. this is still done today. if you were given the following observation about salt water, how would you classify it? “when electricity flows through a flask of salt water, bubbles form in the water. these bubbles, when collected, will burn.”