Match List-$I$ with List-$II$.
$A$. Isobaric $I$. $\Delta Q = \Delta W$ $B$. Isochoric $II$. $\Delta Q = \Delta U$ $C$. Adiabatic $III$. $\Delta Q = 0$ $D$. Isothermal $IV$. $\Delta Q = \Delta U + P \Delta V$
$\Delta Q = \text{Heat supplied}$,$\Delta W = \text{Work done by the system}$,$\Delta U = \text{Change in internal energy}$,$P = \text{Pressure of the system}$,$\Delta V = \text{Change in volume of the system}$. Choose the correct answer from the options given below:
| $A$. Isobaric | $I$. $\Delta Q = \Delta W$ |
| $B$. Isochoric | $II$. $\Delta Q = \Delta U$ |
| $C$. Adiabatic | $III$. $\Delta Q = 0$ |
| $D$. Isothermal | $IV$. $\Delta Q = \Delta U + P \Delta V$ |
$\Delta Q = \text{Heat supplied}$,$\Delta W = \text{Work done by the system}$,$\Delta U = \text{Change in internal energy}$,$P = \text{Pressure of the system}$,$\Delta V = \text{Change in volume of the system}$. Choose the correct answer from the options given below:
- A$(A)-(IV), (B)-(III), (C)-(II), (D)-(I)$
- B$(A)-(IV), (B)-(I), (C)-(III), (D)-(II)$
- C$(A)-(IV), (B)-(II), (C)-(III), (D)-(I)$
- D$(A)-(II), (B)-(IV), (C)-(III), (D)-(I)$
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Similar Questions
Starting at temperature $300 \; K,$ one mole of an ideal diatomic gas $(\gamma=1.4)$ is first compressed adiabatically from volume $V_{1}$ to $V_{2}=\frac{V_{1}}{16}.$ It is then allowed to expand isobarically to volume $2V_{2}.$ If all the processes are quasi-static,then the final temperature of the gas (in $K$) is (to the nearest integer):
DifficultJEE MAIN 2020
View SolutionMatch the List-$I$ with List-$II$:
List-$I$ List-$II$ $A$. Pressure varies inversely with volume of an ideal gas. $I$. Adiabatic process $B$. Heat absorbed goes partly to increase internal energy and partly to do work. $II$. Isochoric process $C$. Heat is neither absorbed nor released by a system. $III$. Isothermal process $D$. No work is done on or by a gas. $IV$. Isobaric process
| List-$I$ | List-$II$ |
|---|---|
| $A$. Pressure varies inversely with volume of an ideal gas. | $I$. Adiabatic process |
| $B$. Heat absorbed goes partly to increase internal energy and partly to do work. | $II$. Isochoric process |
| $C$. Heat is neither absorbed nor released by a system. | $III$. Isothermal process |
| $D$. No work is done on or by a gas. | $IV$. Isobaric process |
Initial pressure and volume of a gas are $P$ and $V$ respectively. First,its volume is expanded to $4V$ by an isothermal process,and then its volume is reduced to $V$ by an adiabatic process. Find its final pressure if $\gamma = \frac{3}{2}$.
One mole of a monatomic ideal gas is taken through a cycle $ABCDA$ as shown in the $P-V$ diagram. Column $II$ gives the characteristics involved in the cycle. Match them with each of the processes given in Column $I$.
Column $I$ Column $II$ $(A)$ Process $A \rightarrow B$ $(p)$ Internal energy decreases. $(B)$ Process $B \rightarrow C$ $(q)$ Internal energy increases. $(C)$ Process $C \rightarrow D$ $(r)$ Heat is lost. $(D)$ Process $D \rightarrow A$ $(s)$ Heat is gained. $(t)$ Work is done on the gas.
| Column $I$ | Column $II$ |
| $(A)$ Process $A \rightarrow B$ | $(p)$ Internal energy decreases. |
| $(B)$ Process $B \rightarrow C$ | $(q)$ Internal energy increases. |
| $(C)$ Process $C \rightarrow D$ | $(r)$ Heat is lost. |
| $(D)$ Process $D \rightarrow A$ | $(s)$ Heat is gained. |
| $(t)$ Work is done on the gas. |
DifficultIIT 2011
View SolutionConsider the following statements:
$A$. Zeroth law of thermodynamics gives the concept of temperature.
$B$. First law of thermodynamics gives the concept of internal energy.
$C$. In isothermal expansion of an ideal gas, $\Delta Q \neq \Delta W$.
$D$. The product of intensive and extensive variables is extensive.
$E$. The ratio of any extensive variable to mass will be an extensive variable.
Choose the correct combination of statements from the options given below:
$A$. Zeroth law of thermodynamics gives the concept of temperature.
$B$. First law of thermodynamics gives the concept of internal energy.
$C$. In isothermal expansion of an ideal gas, $\Delta Q \neq \Delta W$.
$D$. The product of intensive and extensive variables is extensive.
$E$. The ratio of any extensive variable to mass will be an extensive variable.
Choose the correct combination of statements from the options given below:
DifficultJEE MAIN 2026
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