Answer : The final volume of gas will be, 103.3 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 = 740.0 mmHg = 98.4 kPa
Conversion used : (1 mmHg = 0.133 kPa)
= final pressure of gas = 99.3 kPa
= initial volume of gas = 106.0 L
= final volume of gas = ?
= initial temperature of gas = ![25.0^oC=273+25.0=298K](https://tex.z-dn.net/?f=25.0%5EoC%3D273%2B25.0%3D298K)
= final temperature of gas = ![20.0^oC=273+20.0=293K](https://tex.z-dn.net/?f=20.0%5EoC%3D273%2B20.0%3D293K)
Now put all the given values in the above equation, we get:
![\frac{98.4kPa\times 106.0L}{298K}=\frac{99.3kPa\times V_2}{293K}](https://tex.z-dn.net/?f=%5Cfrac%7B98.4kPa%5Ctimes%20106.0L%7D%7B298K%7D%3D%5Cfrac%7B99.3kPa%5Ctimes%20V_2%7D%7B293K%7D)
![V_2=103.3L](https://tex.z-dn.net/?f=V_2%3D103.3L)
Therefore, the final volume of gas will be, 103.3 L