A monoatomic gas at a pressure P, having a volume V expands isothermally to a volume 2V and then adiabatically to a volume 16V. The final pressure of the gas is: (Take )
Step 1: Given
Pressure is P.
Volume is V.
After isothermal expansion, the volume is 2V.
After adiabatic expansion, volume is 16 V.
Pressure after the isothermal expansion is P' (say).
Pressure after the adiabatic expansion is Pf (say).
Step 2: Formula Used
For isothermal expansion:
For adiabatic expansion:
Step 3: Solution:
Find P' using the formula
Find P' using the formula
Hence, the final pressure is .