Question

A gas occupying a volume of 673.0 mL at a pressure of 0.894 atm is allowed to expand at constant temperature until its pressure reaches 0.517 atm. What is its final volume?

Answer 1

Answer: 1164 ml

Explanation:-

To calculate the new pressure, we use the equation given by Boyle's law. This law states that pressure is directly proportional to the volume of the gas at constant temperature.  

The equation given by this law is:

$P_1V_1=P_2V_2$

where,

$P_1$ = initial pressure of gas= 0.894 atm

$V_1$ =  initial volume of gas = 673.0 ml

$P_2$ = final pressure of gas= 0.517 atm

$V_2$ = final volume of gas = ?

Putting values in above equation, we get:

$0.894\times 673.0mL=0.517\times V_2$

$V_2=1164ml$

Thus the final volume of the gas is 1164 ml.