Answer: The new volume is 53.3 ml
Explanation:
The combined gas equation is,
[tex]\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}[/tex]
where,
[tex]P_1[/tex] = initial pressure of gas = 50.0 kPa
[tex]P_2[/tex] = final pressure of gas = 80.0 kPa
[tex]V_1[/tex] = initial volume of gas = 80.0 ml
[tex]V_2[/tex] = final volume of gas = ?
[tex]T_1[/tex] = initial temperature of gas = [tex]300K[/tex]
[tex]T_2[/tex] = final temperature of gas = [tex]320K[/tex]
Now put all the given values in the above equation, we get:
[tex]\frac{50.0\times 80.0}{300}=\frac{80.0\times V_2}{320}[/tex]
[tex]V_2=53.3ml[/tex]
The new volume is 53.3 ml
