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, [tex]\dfrac{V_1}{V_2}=\dfrac{T_1}{T_2}[/tex]
Putting all values in above equation, we get :
[tex]\dfrac{50}{V_2}=\dfrac{273+20}{273 + 96}\\\\V_2 = 50\times \dfrac{369}{293}\ cm^3\\\\V_2 = 62.97\ cm^3[/tex]
Hence, this is the required solution.