Answer to Question #230945 in Physics for Setttsakani

Question

If the pressure on a 1.00 dm³ sample of gas is increased from 700 mmHg to 2.00 atm at constant temperature, what will the volume of the gas sample become?

Answer 1

Given:

$V_1=1.00\:\rm dm^3$

$P_1=700\:\rm mmHg=0.92\: atm$

$P_2=2.00\:\rm atm$

At the constant temperature

$P_1V_1=P_2V_2$

Hence

$V_2=V_1\frac{P_1}{P_2}=1.00\:\rm dm^3*\frac{0.92\: atm}{2.00\:\ atm}=0.46\: dm^3$