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A 22 g sample of krypton exerts a pressure of140 mTorr at 40°C. What is the volume ofthe container?Answer in units of L

Sagot :

Answer

Volume = 36669.3 L

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

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