Two moles of a triatomic gas $\left(\gamma = \frac{4}{3}\right)$ at temperature $327^{\circ} C$ expands adiabatically such that its volume becomes $8$ times its initial volume. Later, the temperature of the gas is doubled in an isochoric process. The total work done in the two processes is ($R$ - universal gas constant). (in $R$)
- A$900$
- B$1800$
- C$1200$
- D$300$
Explore More
Similar Questions
The change in internal energy of a given mass of a gas,when its volume changes from $V$ to $3V$ at constant pressure $P$,is (where $\gamma$ is the ratio of the specific heat capacities of the gas).
Match the following:
Column $I$ Column $II$ $A$. Ratio of $\frac{\Delta Q}{\Delta U}$ in an isobaric process $1$. $\frac{T_1}{T_1-T_2}$ $B$. Ratio of $\frac{\Delta Q}{\Delta W}$ in an isobaric process $2$. $\frac{T_2}{T_1-T_2}$ $C$. Coefficient of performance of a refrigerator $3$. $\frac{\gamma}{\gamma-1}$ $D$. Coefficient of performance of a heat pump $4$. $\gamma$
Codes:
$A \quad B \quad C \quad D$
| Column $I$ | Column $II$ |
| $A$. Ratio of $\frac{\Delta Q}{\Delta U}$ in an isobaric process | $1$. $\frac{T_1}{T_1-T_2}$ |
| $B$. Ratio of $\frac{\Delta Q}{\Delta W}$ in an isobaric process | $2$. $\frac{T_2}{T_1-T_2}$ |
| $C$. Coefficient of performance of a refrigerator | $3$. $\frac{\gamma}{\gamma-1}$ |
| $D$. Coefficient of performance of a heat pump | $4$. $\gamma$ |
Codes:
$A \quad B \quad C \quad D$
The pressure $p$, volume $V$ and temperature $T$ for a certain gas are related by $p=\frac{A T-B T^{2}}{V}$ where $A$ and $B$ are constants. The work done by the gas when the temperature changes from $T_{1}$ to $T_{2}$ while the pressure remains constant, is given by
DifficultWBJEE 2015
View Solution$A$ monoatomic gas performs a work of $\frac{Q}{4}$,where $Q$ is the heat supplied to it. The molar heat capacity of the gas during this transformation will be $xR$,where $R$ is the gas constant. Find the value of $x$.
Two samples of gas $A$ and $B$ are initially at the same pressure and temperature. They are compressed from volume $V$ to $V/2$. If $A$ is compressed isothermally and $B$ is compressed adiabatically,then the final pressure of $A$ is:
Medium
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo