Question

1/ A sample of xenon gas that occupies a volume of 42.7 L at a temperature of 0 °C and a pressure of 1 atm contains (......) moles of gas.

2/ A sample of nitrogen gas collected at STP occupies a volume of 13.4 L. How many moles of gas does the sample contain? (.......) mol

3/ What volume is occupied by a 0.920 mol sample of carbon dioxide gas at a temperature of 0 °C and a pressure of 1 atm?

(......) L

Answer 1

1) Volume = V= 42.7 L

Pressure = P= 1 atm

Temperature = T= 0C = 0+273 = 273K

Gas constant= R= 0.0821 L-atm/mole-k

Ideal gas equation

PV=nRT

n= Pv/RT = 1x42.7/0.0821x273 = 1.905 moles

number of moles of a gas= 1.905 moles

2) At STP conditions

Pressure = P = 1 atm

Temperature = T= 273k

given volume is =V= 13.4 L

R= 0.0821 L-artm/mole-k

PV=nRT

n= PV/RT = 1x13.4/0.0821x273 = 0.5978 moles

number of moles of Nitrogen gas = 0.598 moles

3)

number of moles = n= 0.920 mole

T= 0C = 0+273 = 273K

P= 1 atm

R= 0.0821 L-atm/mole-k

PV=nRT

V= nRT/P = 0.920x0.0821x273/1 = 20.62L

Volume of Carbon dioxide = 20.62L