Given :
Volume of gas in 20°C is 50 cm³.
To Find :
The new volume at 96°C.
Solution :
Let, us assume that the pressure is constant throughout the process.
We know, when pressure is constant volume is directly proportional to the temperature.
So,
![(V_1)/(V_2)=(T_1)/(T_2)](https://img.qammunity.org/2021/formulas/chemistry/middle-school/7jb6jvk4uay59htn61zur709b7p9e84hvs.png)
Putting all values in above equation, we get :
![(50)/(V_2)=(273+20)/(273 + 96)\\\\V_2 = 50* (369)/(293)\ cm^3\\\\V_2 = 62.97\ cm^3](https://img.qammunity.org/2021/formulas/physics/high-school/pkg6czl8kc3zy0quowfgkhp64i03kbeaf7.png)
Hence, this is the required solution.