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 Ã 10-3 mol
3. Calculate the Molar Mass:
Molar mass = mass / moles
M = m / n
M = 0.0494 g / 6.220 Ã 10-3 mol
M = 7.94 g/mol
Therefore, the molar mass of the gas is 7.94 g/mol.