$A$ sample of an ideal gas is taken through the cyclic process $ABCA$ as shown in the figure. It absorbs $40 \ J$ of heat during the part $AB$,no heat during $BC$,and rejects $60 \ J$ of heat during $CA$. $A$ work of $50 \ J$ is done on the gas during the part $BC$. The internal energy of the gas at $A$ is $1560 \ J$. The work done by the gas during the part $CA$ is.............$J$.
- A$20$
- B$30$
- C$-30$
- D$-60$
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Similar Questions
Match 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:
An ideal gas undergoes a cyclic process as shown in the density-pressure graph. During the process $AB$, the work done $|W_{AB}| = 70\,J$. During the process $BC$, the gas absorbs $150\,J$ of heat. During the process $CA$, the gas undergoes expansion and does $210\,J$ of work. Which of the following statements is correct?
Difficult
View Solution$A$ cycle followed by an engine (made of one mole of an ideal gas in a cylinder with a piston) is shown in the figure. Find the heat exchanged by the engine with the surroundings for each section of the cycle. Given ${C_v} = \frac{3}{2}R$.
$(a)$ $A$ to $B$: constant volume
$(b)$ $B$ to $C$: constant pressure
$(c)$ $C$ to $D$: adiabatic
$(d)$ $D$ to $A$: constant pressure
$(a)$ $A$ to $B$: constant volume
$(b)$ $B$ to $C$: constant pressure
$(c)$ $C$ to $D$: adiabatic
$(d)$ $D$ to $A$: constant pressure
Difficult
View SolutionWhen a system is taken from a state $i$ to $f$ along the path $iaf$ (as shown in the figure),$Q = 50 \, cal$ and $W = 20 \, cal$. Along path $ibf$,$Q = 36 \, cal$.
$(i)$ What is $W$ along path $ibf$?
$(ii)$ If $W = -13 \, cal$ for path $fi$,what is $Q$ for the path $fi$?
$(iii)$ Take $E_{int,i} = 10 \, cal$,then what is $E_{int,f}$?
$(i)$ What is $W$ along path $ibf$?
$(ii)$ If $W = -13 \, cal$ for path $fi$,what is $Q$ for the path $fi$?
$(iii)$ Take $E_{int,i} = 10 \, cal$,then what is $E_{int,f}$?
DifficultAIIMS 2009
View SolutionHeat is applied to a rigid diatomic gas at constant pressure. The ratio $\Delta Q : \Delta U : \Delta W$ is
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