Calculating Molar Mass of a Gas Using Ideal Gas Law

Explanation:

We can use the Ideal Gas Law to solve this problem:

pV = nRT

Given Data:

p = 0.998 atm
V = 0.153 L
T = 26°C
m = 0.0494 g

1. Convert Temperature to Kelvins:

T = (26 + 273.15) K = 299.15 K

2. Calculate the Number of Moles:

0.998 atm * 0.153 L = n * 0.08206 L·atm·K^-1·mol^-1 * 299.15 K
0.1527 = n * 24.55 mol^-1
n = 0.1527 / 24.55 mol^-1 = 6.220 × 10^-3 mol

3. Calculate the Molar Mass:

Molar mass = mass / moles
M = m / n
M = 0.0494 g / 6.220 × 10^-3 mol
M = 7.94 g/mol

Therefore, the molar mass of the gas is 7.94 g/mol.