Answer : The volume of gas will be 29.6 L
Explanation:
Combined gas law is the combination of Boyle's law, Charles's law and Gay-Lussac's law.
The combined gas equation is,
![\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}](https://tex.z-dn.net/?f=%5Cfrac%7BP_1V_1%7D%7BT_1%7D%3D%5Cfrac%7BP_2V_2%7D%7BT_2%7D)
where,
= initial pressure of gas = 12 atm
= final pressure of gas = 14 atm
= initial volume of gas = 23 L
= final volume of gas = ?
= initial temperature of gas = 200K
= final temperature of gas = 300K
Now put all the given values in the above equation, we get the final pressure of gas.
![\frac{12atm\times 23L}{200K}=\frac{14\times V_2}{300K}](https://tex.z-dn.net/?f=%5Cfrac%7B12atm%5Ctimes%2023L%7D%7B200K%7D%3D%5Cfrac%7B14%5Ctimes%20V_2%7D%7B300K%7D)
![V_2=29.6L](https://tex.z-dn.net/?f=V_2%3D29.6L)
Therefore, the new volume of gas will be 29.6 L