I really need help with this question?
You have a 12.01 g sample of carbon. The average mass of a carbon atoms is 1.994 x 1023 g. How many carbon atoms are in the sample?
(round the number to 2 decimal places)
(if you get a superscript, place a ^ before the superscript)
(if you get a subscript, place before the subscript and after the subscript)
I think you made a typo in your posting. Didn't you mean the average mass of a (single) carbon atom is 1.994 x 10^-23 (not +23).
You know the mass is 12.01. Each atom as a mass of 1.994 x 10^-23 g. Then the number of atoms in 12.01 g =
12.01/1.994 x 10^-23 = ?? which I get as 6.023 x 10^23 or 6.023 x 1023.
To determine the number of carbon atoms in the sample, we can use the formula:
Number of atoms = Mass of sample / Average mass of carbon atom
Given that the mass of the sample is 12.01 g and the average mass of a carbon atom is 1.994 x 10^23 g, we can substitute these values into the formula:
Number of atoms = 12.01 g / 1.994 x 10^23 g
Calculating this division, we get:
Number of atoms ≈ 6.03 x 10^22 atoms
Therefore, there are approximately 6.03 x 10^22 carbon atoms in the sample.
To determine the number of carbon atoms in the sample, you need to calculate the number of moles of carbon in the sample and then convert it to the number of atoms using Avogadro's number.
First, calculate the number of moles of carbon using the given mass of the sample. To do this, divide the mass of the sample by the average mass of a carbon atom.
Mass of the sample = 12.01 g
Average mass of a carbon atom = 1.994 x 10^23 g
Number of moles of carbon = Mass of the sample / Average mass of a carbon atom
Now, substitute the values into the equation:
Number of moles of carbon = 12.01 g / 1.994 x 10^23 g
Compute the result:
Number of moles of carbon = 0.006020 moles
Next, convert the number of moles to the number of atoms using Avogadro's number. Avogadro's number states that there are 6.022 x 10^23 atoms in one mole of substance.
Number of atoms = Number of moles of carbon x Avogadro's number
Now, substitute the values into the equation:
Number of atoms = 0.006020 moles x 6.022 x 10^23 atoms/mole
Compute the result:
Number of atoms = 3.623 x 10^21 atoms
So, there are approximately 3.62 x 10^21 carbon atoms in the given sample.