4) If I have a 50 liter container that holds 45 moles of gas at a temperature of 2000 C, what is the pressure inside the container?

P = 167.96 atm

Explanation:

Given data:

Volume of container = 50 L

Number of moles of gas = 45 mol

Temperature = 2000 °C

Pressure of gas = ?

Solution:

The given problem will be solve by using general gas equation,

PV = nRT

P= Pressure

V = volume

n = number of moles

R = general gas constant = 0.0821 atm.L/ mol.K  

T = temperature in kelvin

Now we will convert the temperature.

2000+273.15 = 2273.15 K

by putting values,

P × 50 L =45 mol ×0.0821 atm.L /mol.K × 2273.15 K

P = 8398.15 atm.L /50 L

P = 167.96 atm

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