Question

A container of carbon dioxide gas has a volume of 50.0 L. When originally purchased, the tank guage showed a pressure of 10.0 atm at 20.0 degrees celcius. After one month's use, the tank pressure was 6.10 atm at 15.0 degrees celcius. How many grams of CO₂ were used during the month? Molar Mass of CO₂ is 44.01 g/mol.

Answer 1

volume of CO2 gas = 50.0 L

pressure P1 = 10.0 atm

temperature T1 = 20 oC = 293 K

n = P V / RT

= 10 x 50 / 0.0821 x 293

n1 = 20.78

pressure P2 = 6.10 atm

temperature T2 = 15 oC = 288 K

P V = n R T

6.10 x 50 = n x 0.0821 x 288

n = 12.90

moles of CO2 used = 20.785 - 12.899 = 7.886

mass of CO2 used = 7.886 x 44.01 = 347 g

mass of CO2 used = 347 g