$A$ gas is compressed isothermally to half its initial volume. The same gas is compressed separately through an adiabatic process until its volume is again reduced to half. Then
- ACompressing the gas through adiabatic process will require more work to be done.
- BCompressing the gas isothermally or adiabatically will require the same amount of work.
- CWhich of the case (whether compression through isothermal or through adiabatic process) requires more work will depend upon the atomicity of the gas.
- DCompressing the gas isothermally will require more work to be done.
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Similar Questions
$2$ moles of an ideal monoatomic gas is carried from a state $(p_{0}, V_{0})$ to state $(2 p_{0}, 2 V_{0})$ along a straight line path in a $p-V$ diagram. The amount of heat absorbed by the gas in the process is given by
MediumWBJEE 2017
View SolutionMatch the following:
List-$I$ List-$II$ $i)$ Isothermal process $a)$ $0$ $ii)$ Isobaric process $b)$ $\frac{1}{\gamma-1}[P_2 V_2 - P_1 V_1]$ $iii)$ Isochoric process $c)$ $\mu RT \ln(\frac{V_2}{V_1})$ $iv)$ Adiabatic process $d)$ $P(V_2 - V_1)$
The correct answer is:
| List-$I$ | List-$II$ |
| $i)$ Isothermal process | $a)$ $0$ |
| $ii)$ Isobaric process | $b)$ $\frac{1}{\gamma-1}[P_2 V_2 - P_1 V_1]$ |
| $iii)$ Isochoric process | $c)$ $\mu RT \ln(\frac{V_2}{V_1})$ |
| $iv)$ Adiabatic process | $d)$ $P(V_2 - V_1)$ |
The correct answer is:
In thermodynamic processes, which of the following statements is not true?
MediumKCET 2026
View Solution$A$ monoatomic gas of $n$-moles is heated from temperature $T_1$ to $T_2$ under two different conditions: $(i)$ at constant volume and (ii) at constant pressure. The change in internal energy of the gas is
The three processes in a thermodynamic cycle shown in the figure are: Process $1 \rightarrow 2$ is isothermal; Process $2 \rightarrow 3$ is isochoric (volume remains constant); Process $3 \rightarrow 1$ is adiabatic. The total work done by the ideal gas in this cycle is $10 \, J$. The internal energy decreases by $20 \, J$ in the isochoric process. The work done by the gas in the adiabatic process is $-20 \, J$. The heat added to the system in the isothermal process is .............. $J$.
MediumKVPY 2013
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