Question

Question #5d060

Answer 1

32.09 grams

Explanation:

For this problem, you have to understand two really simple and basic formulas in chemistry.

n=N`-:`AC

and

n=m`-:`M

For the first equation,

n represents moles
N represents molecules
AC represents Avogadro's Constant, (6.022 `*` `10^23`)

Two of the three variables are given. We have N (given as 1.204 `*` `10^24`) and AC (a value that is constant in every calculation with this equation).

Solving for n, simply divide the number of molecules by the constant and we should have n=1.9993357 moles.

Now to find mass, we use the second equation, where

n represents moles
m represents mass
M represents molar mass

We just found the value for n, and we can find the value for M by using the Periodic Table of Elements. Methane, which has a chemical formula of CH4, has 1 carbon and 4 hydrogens. Find the molar masses of the two elements, and multiply by the amount you have (`12.01*1 + 1.01*4`).

Now that we have n AND M, multiply the two values to solve for m, mass.