Answer: The final volume is [tex]231cm^3[/tex]
Explanation: Using ideal gas equation:
[tex]\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}[/tex]
[tex]P_1[/tex]= initial pressure = 1.6 atm
[tex]V_1[/tex]= initial volume = [tex]168cm^3[/tex]
[tex]T_1[/tex]= initial temperature = 255 K
[tex]P_2[/tex]= final pressure= 1.3 atm
[tex]V_2[/tex]= final volume = ?
[tex]T_2[/tex]= final temperature = 285 K
[tex]\frac{1.6\times 168}{255}=\frac{1.3\times V_2}{285}[/tex]
[tex]V_2=231cm^3[/tex]