Student Login

Home›Chapters›Thermodynamics PYQs›Thermodynamic Processes›Question 246

JEE Main 2003 (AIEEE) · Thermodynamic Processes

Thermodynamic Processes question from JEE Main 2003 (AIEEE)

Q246JEE Main 2003 · AIEEEMedium

Thermodynamic Processes

During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio $C_p/C_V$ for the gas is

Show answer and solution

Answer: (d)

Adiabatic in $P$ – $T$ form: $P^{1-\gamma}T^{\gamma} =$ const, so $P \propto T^{\gamma/(\gamma-1)}$ .
$\frac{\gamma}{\gamma - 1} = 3 \Rightarrow \gamma = 3\gamma - 3$
$\gamma = \frac{3}{2}$
So the answer is (d) $\frac{3}{2}$ .

Report a mistake

More questions on Thermodynamic Processes

An ideal gas at 27 is compressed adiabatically to 8/27 of its original volume. The rise…NEET 1999 (AIPMT)
We consider a thermodynamic system. If Δ U represents the increase in its internal energy…NEET 1998 (AIPMT)
If the ratio of specific heat of a gas at constant pressure to that at constant volume is…NEET 1998 (AIPMT)
A sample of gas expands from volume V₁ to V₂. The amount of work done by the gas is…NEET 1997 (AIPMT)
An ideal gas, undergoing adiabatic change, has which of the following pressure…NEET 1996 (AIPMT)
A diatomic gas initially at 18 is compressed adiabatically to one eighth of its original…NEET 1996 (AIPMT)
In an adiabatic change, the pressure and temperature of a monatomic gas are related as P…NEET 1994 (AIPMT)
An ideal gas A and a real gas B have their volumes increased from V to 2V under…NEET 1993 (AIPMT)