During an adiabatic process, volume of gas is found to be inversely proportional to cube of its

English

Gujarati

Hindi

11.Thermodynamics

normal

During an adiabatic process, the volume of gas is found to be inversely proportional to the cube of its temperature. The ratio of $\frac{{{C_p}}}{{{C_v}}}$ for the gas is

A

$1.5$

B

$1.33$

C

$2$

D

$1.67$

Solution

$V \propto \frac{1}{T^{3}}$

$\mathrm{VT}^{3}=\mathrm{const}$

$\mathrm{V}^{1 / 3} \mathrm{T}=\mathrm{const} \ldots \ldots(\mathrm{i})$

$\mathrm{V}^{\gamma-1} \mathrm{T}=\mathrm{const.} \ldots(\mathrm{ii})$

comparing equation $( i )$ $\&$ (ii)

$\gamma-1=1 / 3$

$\gamma=4 / 3$

Standard 11

Physics

Share

Similar Questions

The internal energy change in a system that has absorbed $2\, k\,cals$ of heat and done $500\, J$ of work is …… $J$

normal

An ideal monoatomic gas is taken round the cycle $ABCDA$ as shown in following $P-V$ diagram. The work done during the cycle is

normal

A thermodynamic system is taken through the cycle $PQRSP$ process. the net work done by the system is…… $J$

normal

Choose the incorrect statement from the following

$S1$: The efficiency of a heat engine can be $1$, but the coefficient of performance of a refrigerator can never be infinity

$S2$: The first law of thermodynamics is basically the principle of conservation of energy

$S3$: The second law of thermodynamics does not allow several phenomena consistent with the first law

$S4$: A process, whose sole result is the transfer of heat from a colder to a hotter object is impossible

normal

A carnot engine having an efficiency of as heat engine, is used as a refrigerator. If the work done on the system is $10 \,J,$ the amount of energy absorbed from the reservoir at lower temperature is ………. $\mathrm{J}$

normal