Question

Suppose there are 3.5 x 10ˆ25 atoms of radon gas in the room. How many moles of radon gas are present?

a) 58 moles
b) 3.5 x 10^25 moles
c) 205.7 moles
d) 0.058 moles

Answer 1

Using Avogadro's number, which is 6.022 x 10^23 atoms per mole, the number of moles for 3.5 x 10^25 atoms of radon gas is calculated and the closest option is approximately 58 moles.

Step-by-step explanation:

To determine the number of moles of radon gas in a sample given the number of atoms, we can use Avogadro's number, which is 6.022 x 1023 atoms per mole. With 3.5 x 1025 atoms of radon gas, the calculation for the number of moles will look like this:

Number of moles = (3.5 x 1025 atoms) / (6.022 x 1023 atoms/mol)

Doing the division, we find:

Number of moles ≈ 58.09 moles

Therefore, the closest answer provided in the options is (a) 58 moles.