A 20-liter cylinder contains 4 moles of natural gas. The temperature of the cylinder is 274 K. Assuming that the gas is ideal and using the universal gas constant of 0.08206 L-atm/mol-K, what is the approximate pressure in the cylinder?

A.

54.8 atm

B.

112.4 atm

C.

4.5 atm

D.

22.5 atm

Reset

4.5 atm

Explanation:

We are given;

Volume of the cylinder as 20 L Moles of the gas as 4 moles Temperature of the gas as 274 K Universal gas constant as 0.08206 L-atm/mol-K

We are required to determine the pressure in the cylinder.

We are going to use the ideal gas equation; According to the ideal gas equation;

PV = nRT

Rearranging the formula;

P = nRT : V

Replacing the values of the known variables;

P = (4 mol * 0.08206 L-atm/mol-K * 274 K) : 20 L

= 4.497 atm

= 4.50 atm

Therefore, the pressure in the cylinder is 4.5 atm