You fill a rigid steel cylinder that has a volume of 20.0 L with nitrogen gas to a final pressure of 2.00 * 10^4 Kpa at 28c How many kilograms of N2 does the cylinder contain

Question

Chemistry

Beef

6 August, 05:20

You fill a rigid steel cylinder that has a volume of 20.0 L with nitrogen gas to a final pressure of 2.00 * 10^4 Kpa at 28c How many kilograms of N2 does the cylinder contain

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Kelly Trujillo · Answer 1

This problem can easily be solved using the ideal gas equation which states:

PV = nRT

where:

P = pressure

V = volume

n = no. of moles

R = gas constant

T = absolute temperature

The problem already gives the pressure, volume, and temperature of the system. All that's missing is the number of moles which is related to the mass using:

mass = moles x molecular mass

The R that should be used must have units that are consistent with the given data. The value used is 8314.34 L-Pa/mol-K. The answer is 4.475 kg of N2.