A sample of gas with $\gamma=1.5$ is taken through an adiabatic process in which the volume is compressed from $1200\, {cm}^{3}$ to $300\, {cm}^{3}$. If the initial pressure is $200\, {kPa}$. The absolute value of the workdone by the gas in the process $= \,..... J.$
A sample of gas with $\gamma=1.5$ is taken through an adiabatic process in which the volume is compressed from $1200\, {cm}^{3}$ to $300\, {cm}^{3}$. If the initial pressure is $200\, {kPa}$. The absolute value of the workdone by the gas in the process $= \,..... J.$
- [JEE MAIN 2021]
- A
$0.5$
- B
$240$
- C
$48$
- D
$480$
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 | $(ii)$ $\Delta Q = \Delta W$ |
| $(iii)$ $\Delta U = -\Delta W$ |
One mole of an ideal gas at an initial temperature of $T\, K$ does $6 R$ joules of work adiabatically. If the ratio of specific heats of this gas at constant pressure and at constant volume is $5/3$, the final temperature of gas will be
One mole of an ideal gas at an initial temperature of $T\, K$ does $6 R$ joules of work adiabatically. If the ratio of specific heats of this gas at constant pressure and at constant volume is $5/3$, the final temperature of gas will be
- [AIPMT 2004]
The work of $146\ kJ$ is performed in order to compress one kilo mole of gas adiabatically and in this process the temperature of the gas increases by $7^o C$. The gas is $(R=8.3\ J\ mol^{-1} K^{-1})$
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A litre of dry air at $STP$ expands adiabatically to a volume of $3$ litres. If $\gamma=1.40,$ the work done by air is$(3^{1.4}=4.6555)$ [Take air to be an ideal gas $]$
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- [JEE MAIN 2020]
A gas is suddenly compressed to $1/4$ th of its original volume at normal temperature. The increase in its temperature is ....... $K$ $(\gamma = 1.5)$
A gas is suddenly compressed to $1/4$ th of its original volume at normal temperature. The increase in its temperature is ....... $K$ $(\gamma = 1.5)$