The amount of work done in an adiabatic expansion from temperature $T$ to ${T_1}$ is
The amount of work done in an adiabatic expansion from temperature $T$ to ${T_1}$ is
- A
$R(T - {T_1})$
- B
$\frac{R}{{\gamma - 1}}(T - {T_1})$
- C
$RT$
- D
$R(T - {T_1})(\gamma - 1)$
Similar Questions
Two samples $A$ and $B$ of a gas initially at the same pressure and temperature are compressed from volume $ V$ to $ V/2$ ($A$ isothermally and adiabatically). The final pressure of $ A$ is
Two samples $A$ and $B$ of a gas initially at the same pressure and temperature are compressed from volume $ V$ to $ V/2$ ($A$ isothermally and adiabatically). The final pressure of $ A$ is
If $\Delta U$ and $\Delta W$ represent the increase in internal energy and work done by the system respectively in a thermodynamical process, which of the following is true?
If $\Delta U$ and $\Delta W$ represent the increase in internal energy and work done by the system respectively in a thermodynamical process, which of the following is true?
- [AIPMT 2010]
Write the expression of work for an ideal gas in isobaric process.
Write the expression of work for an ideal gas in isobaric process.
The variation of pressure $P$ with volume $V$ for an ideal monatomic gas during an adiabatic process is shown in figure. At point $A$ the magnitude of rate of change of pressure with volume is
The variation of pressure $P$ with volume $V$ for an ideal monatomic gas during an adiabatic process is shown in figure. At point $A$ the magnitude of rate of change of pressure with volume is
An ideal gas at pressure $P$ and volume $V$ is expanded to volume$ 2V.$ Column $I$ represents the thermodynamic processes used during expansion. Column $II$ represents the work during these processes in the random order.:
Column $I$
Column $II$
$(p)$ isobaric
$(x)$ $\frac{{PV(1 - {2^{1 - \gamma }})}}{{\gamma - 1}}$
$(q)$ isothermal
$(y)$ $PV$
$(r)$ adiabatic
(z) $PV\,\iota n\,2$
The correct matching of column $I$ and column $II$ is given by
An ideal gas at pressure $P$ and volume $V$ is expanded to volume$ 2V.$ Column $I$ represents the thermodynamic processes used during expansion. Column $II$ represents the work during these processes in the random order.:
| Column $I$ | Column $II$ |
| $(p)$ isobaric | $(x)$ $\frac{{PV(1 - {2^{1 - \gamma }})}}{{\gamma - 1}}$ |
| $(q)$ isothermal | $(y)$ $PV$ |
| $(r)$ adiabatic | (z) $PV\,\iota n\,2$ |
The correct matching of column $I$ and column $II$ is given by