Asample of gas with a volume of 750 ml exerts a pressure of 98 kpa at 30 °c. what pressure will the sample exert when it is compressed to 250 ml and cooled to -25 °c?

240 kPa

Explanation:

The ideal gas law states:

where

p is the gas pressure

V is the gas volume

n is the number of moles

R is the gas constant

T is the absolute temperature of the gas

For a fixed amount of gas, n and R are constant, so we can rewrite the equation as

For the gas in the problem, which undergoes a transformation, this can be rewritten as

where we have:

is the initial pressure

is the initial volume

is the initial temperature

is the final pressure

is the final volume

is the final temperature

Solving the formula for p2, we find the final pressure of the gas: