The ratio of the specific heat capacities of a gas is $1.5$. When the gas undergoes an adiabatic process, its volume is doubled and its pressure becomes $P_1$. When the gas undergoes an isothermal process, its volume is doubled and its pressure becomes $P_2$. If $P_1 = P_2$, what is the ratio of the initial pressures of the gas when it undergoes adiabatic and isothermal processes?
- A$\sqrt{3}: \sqrt{2}$
- B$1: 1$
- C$\sqrt{3}: 1$
- D$\sqrt{2}: 1$
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An ideal gas expands from volume $V_1$ to $V_2$. This may be achieved by either of the three processes: isobaric,isothermal,and adiabatic. Let $\Delta U$ be the change in internal energy of the gas,$Q$ be the quantity of heat added to the system,and $W$ be the work done by the system. Identify which of the following statements is false for $\Delta U$?
Two cylinders $A$ and $B$ fitted with pistons contain an equal amount of an ideal rigid diatomic gas at $303 \ K$. The piston of cylinder $A$ is free to move,and that of cylinder $B$ is held fixed. The same amount of heat is given to the gas in each cylinder. If the rise in temperature of the gas in cylinder $B$ is $49 \ K$,then the rise in temperature of the gas in $A$ is: (in $K$)
Thermodynamic processes are indicated in the following diagram. Match the following:
Column-$1$ Column-$2$ $P$: Process-$I$ $A$: Adiabatic $Q$: Process-$II$ $B$: Isobaric $R$: Process-$III$ $C$: Isochoric $S$: Process-$IV$ $D$: Isothermal
| Column-$1$ | Column-$2$ |
| $P$: Process-$I$ | $A$: Adiabatic |
| $Q$: Process-$II$ | $B$: Isobaric |
| $R$: Process-$III$ | $C$: Isochoric |
| $S$: Process-$IV$ | $D$: Isothermal |
MediumNEET 2017
View SolutionHeat is supplied to a diatomic gas at constant pressure. The ratio of $\Delta Q: \Delta U: \Delta W$ is
[Given $\rightarrow \Delta Q=$ heat supplied,$\Delta U=$ change in internal energy,$\Delta W$ $=$ work done]
[Given $\rightarrow \Delta Q=$ heat supplied,$\Delta U=$ change in internal energy,$\Delta W$ $=$ work done]
$A$ monoatomic ideal gas is heated at constant pressure. The percentage of total heat used in increasing the internal energy and that used for doing external work is $A$ and $B$ respectively. Then the ratio,$A: B$ is
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