Initial pressure and volume of a gas are $P$ and $V$ respectively. First it is expanded isothermally to volume $4V$ and then compressed adiabatically to volume $V$ . The final pressure of gas will be (given $\gamma = 3/2$ )
Initial pressure and volume of a gas are $P$ and $V$ respectively. First it is expanded isothermally to volume $4V$ and then compressed adiabatically to volume $V$ . The final pressure of gas will be (given $\gamma = 3/2$ )
- A
$1\,P$
- B
$2\,P$
- C
$4\,P$
- D
$8\,P$
Similar Questions
In Column$-I$ process and in Column$-II$ first law of thermodynamics are given. Match them appropriately :
Column$-I$
Column$-II$
$(a)$ Adiabatic
$(i)$ $\Delta Q = \Delta U$
$(b)$ Isothermal
$(ii)$ $\Delta Q = \Delta W$
$(iii)$ $\Delta U = -\Delta W$
In Column$-I$ process and in Column$-II$ first law of thermodynamics are given. Match them appropriately :
| Column$-I$ | Column$-II$ |
| $(a)$ Adiabatic | $(i)$ $\Delta Q = \Delta U$ |
| $(b)$ Isothermal | $(ii)$ $\Delta Q = \Delta W$ |
| $(iii)$ $\Delta U = -\Delta W$ |
In thermodynamic processes which of the following statements is not true?
In thermodynamic processes which of the following statements is not true?
- [AIPMT 2009]
Consider two containers $A$ and $B$ containing monoatomic gases at the same Pressure $(P)$, Volume $(V)$ and Temperature $(T)$. The gas in $A$ is compressed isothermally to $\frac{1}{8}$ of its original volume while the gas $B$ is compressed adiabatically to $\frac{1}{8}$ of its original volume. The ratio of final pressure of gas in $B$ to that of gas in $A$ is ...........
Consider two containers $A$ and $B$ containing monoatomic gases at the same Pressure $(P)$, Volume $(V)$ and Temperature $(T)$. The gas in $A$ is compressed isothermally to $\frac{1}{8}$ of its original volume while the gas $B$ is compressed adiabatically to $\frac{1}{8}$ of its original volume. The ratio of final pressure of gas in $B$ to that of gas in $A$ is ...........
- [JEE MAIN 2023]
A monatomic gas at pressure $P_1$ and volume $V_1$ is compressed adiabatically to ${\frac{1}{8}}^{th}$ of its original volume. What is the final pressure of the gas is ........ $P_1$?
A monatomic gas at pressure $P_1$ and volume $V_1$ is compressed adiabatically to ${\frac{1}{8}}^{th}$ of its original volume. What is the final pressure of the gas is ........ $P_1$?
- [AIPMT 2010]
What is the change in temperature when work done by gas in an adiabatic process ?
What is the change in temperature when work done by gas in an adiabatic process ?