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

$P_2 = \frac{1.5 m^3}{0.5 m^3} (95 kPa)$

$P_2 = 285 kPa$

so final pressure will be 285 kPa