A 94 L sample of neon gas (molar mass = 20.2 g/mol) has a mass of 44 g at a pressure of 150 kPa. What is its temperature in Kelvins?

Question

Chemistry

Landyn

5 May, 10:30

A 94 L sample of neon gas (molar mass = 20.2 g/mol) has a mass of 44 g at a pressure of 150 kPa. What is its temperature in Kelvins?

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Answers (1)

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Gordon Todd · Answer 1

778.96 K.

Explanation:

To solve these problems, we can use the general law of ideal gas: PV = nRT.

where, P is the pressure of the gas in atm.

V is the volume of the gas in L.

n is the no. of moles of the gas in mol.

R is the general gas constant (R = 0.082 L. atm/mol. K),

T is the temperature of the gas in K.

The temperature of the gas = PV/nR.

P = 150.0 kPa/101.325 = 1.48 atm, V = 94.0 L, R = 0.082 L. atm/mol. K, n = mass/molar mass = (44.0 g) / (20.2 g/mol) = 2.178 mol.

∴ T = PV/nR = (1.48 atm) (94.0 L) / (2.178 mol) (0.082 L. atm/mol. K) = 778.96 K.