Answer
Volume = 36669.3 L
Step-by-step explanation
Given:
Mass of krypton = 22 g
Pressure = 140 mTorr = 0.14 Torr
Temperature = 40°C = 313 K
Required: Volume
We know:
Molar mass of krypton = 83,798 g/mol
R constant in torr = 62.363577 L.Torr/K/mol
Solution:
Step 1: Find the number of moles of krypton
n = m/M where n is the number of moles, m is the mass and M is the molar mass
n = 22 g/83,798g/mol
n = 0.263 mol
Step 2: Find the volume using the ideal gas law
PV = nRT
V = nRT/P
V = (0.263 mol x 62.363577 L.Torr/K/mol x 313 K)/0.14 torr
V = 36669.3 L