A gas has a pressure of 1.74 atm and occupies a volume of 6.8 L. If the gas is compressed to a volume of 2.21 L, what will its pressure be, assuming constant temperature?

Question

Answer in units of atm.

Answer 1

Assuming an ideal gas, and a closed system:

P₁V₁=nRT

The quantities on the right remain constant.

We can also apply the ideal gas equation:

P₂V₂=nRT

P₁V₁=P₂V₂

P₂=P₁(V₁/V₂)=(1.74 atm)((6.8L)/(2.21L))=5.35 atm