Question

A quantity of gas has a volume of 1.5 m3 and an absolute pressure of 95 kPa. When the gas is compressed to a volume of 0.5 m3, what is the new absolute pressure of the gas? (Assume that there’s no change in temperature.)

Answer 1

at isothermal condition we know that when temperature is constant we will have

`P_1V_1 = P_2V_2`

here we will have

`P_1 = 95 kPa`

`V_1 = 1.5 m^3`

Now gas is compressed and its final volume will become

`V_2 = 0.5 m^3`

now from above formula we have

`(95 kPa)(1.5 m^3) = (P_2)(0.5 m^3)`

now we have

`P_2 = (1.5 m^3)/(0.5 m^3) (95 kPa)`

`P_2 = 285 kPa`

so final pressure will be 285 kPa