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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Similar Questions
In changing the state of a gas adiabatically from an equilibrium state $A$ to another equilibrium state $B$,an amount of work equal to $22.3 \; J$ is done on the system. If the gas is taken from state $A$ to $B$ via a process in which the net heat absorbed by the system is $9.35 \; cal$,how much is the net work done (in $J$) by the system in the latter case? (Take $1 \; cal = 4.19 \; J$)
Medium
View SolutionGiven below are two statements:
Statement $I:$ If heat is added to a system,its temperature must increase.
Statement $II:$ If positive work is done by a system in a thermodynamic process,its volume must increase.
In the light of the above statements,choose the correct answer from the options given below.
Statement $I:$ If heat is added to a system,its temperature must increase.
Statement $II:$ If positive work is done by a system in a thermodynamic process,its volume must increase.
In the light of the above statements,choose the correct answer from the options given below.
Two cylinders $A$ and $B$ are fitted with pistons and contain equal amounts of a diatomic gas at $300 \ K$. The piston of cylinder $A$ is free to move,while the piston of cylinder $B$ is fixed. If the same amount of heat is supplied to each cylinder,the temperature of gas in $A$ increases by $30 \ K$. What is the increase in the temperature of gas in $B$ (in $K$)?
Difficult
View SolutionWhat is the specific heat of a gas in an isothermal process and an adiabatic process?
Easy
View SolutionColumn-$I$ shows graphs of thermodynamic processes, and column-$II$ contains information about various thermodynamic variables. Match column-$I$ with the information in column-$II$.
Column-$I$ Column-$II$ $(A)$ $PV$ vs $V$ (Isothermal expansion) $(P)$ $W$ > 0 $(B)$ $P$ vs $T$ (Isochoric heating) $(Q)$ $W$ < 0 $(C)$ $P$ vs $V$ (Isobaric expansion) $(R)$ $\Delta Q$ > 0 $(D)$ $V$ vs $T$ (Isobaric compression) $(S)$ $\Delta U$ > 0 $(T)$ $\Delta U$ < 0
| Column-$I$ | Column-$II$ |
| $(A)$ $PV$ vs $V$ (Isothermal expansion) | $(P)$ $W$ > 0 |
| $(B)$ $P$ vs $T$ (Isochoric heating) | $(Q)$ $W$ < 0 |
| $(C)$ $P$ vs $V$ (Isobaric expansion) | $(R)$ $\Delta Q$ > 0 |
| $(D)$ $V$ vs $T$ (Isobaric compression) | $(S)$ $\Delta U$ > 0 |
| $(T)$ $\Delta U$ < 0 |
Medium
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