A diatomic ideal gas is used in a Carnot engine as the working substance. If during the adiabatic expansion part of the cycle the volume of the gas increases from $V$ to $32\ V$, the efficiency of the engine is
  • A$0.25$
  • B$0.5$
  • C$0.75$
  • D$0.99$
AIEEE 2010, Medium
art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    When heat energy of $1500\; Joules$, is supplied to a gas at constant pressure $2.1 \times {10^5}\;N/{m^2}$, there was an increase in its volume equal to $2.5 \times {10^{ - 3}}\;{m^3}$. The increase in internal energy of the gas in Joules is ...... $J$
    View Solution
  • 2
    Two moles of helium gas are taken over the cycle $ABCDA$, as shown in the $P-T$ diagram.The work done on the gas in taking it from $D$ to $A$ is
    View Solution
  • 3
    A system performs work $\Delta W$ when an amount of heat is$\Delta Q$ added to the system, the corresponding change in the internal energy is $\Delta U$. A unique function of the initial and final states (irrespective of the mode of change) is
    View Solution
  • 4
    The figure given below shows the variation in the internal energy $U$ with volume $V$ of $2.0\ mole$ of an ideal gas in a cyclic process $abcda$ . The temperatures of the gas during the processes $ab$ and $cd$ are $500\ K$ and $300\ K$ respectively, the heat absorbed by the gas during the complete process is  .... $J$

    (Take $R$ = $8.3\ J/mol-K$ and $ln\ 2$ = $0.69$)

    View Solution
  • 5
    One mole of an ideal gas in initial state $\mathrm{A}$ undergoes a cyclic process $A B C A$, as shown in the figure. Its pressure at $A$ is $\mathrm{P}_0$. Choose the correct option$(s)$ from the following

    $(A)$ Internal energies at $\mathrm{A}$ and $\mathrm{B}$ are the same

    $(B)$ Work done by the gas in process $\mathrm{AB}$ is $\mathrm{P}_0 \mathrm{~V}_0 \ln 4$

    $(C)$ Pressure at $C$ is $\frac{P_0}{4}$

    $(D)$ Temperature at $\mathrm{C}$ is $\frac{\mathrm{T}_0}{4}$

    View Solution
  • 6
    A sample of gas expands from volume ${V_1}$ to ${V_2}$. The amount of work done by the gas is greatest when the expansion is
    View Solution
  • 7
    Volume versus temperature graph of two moles of helium gas is as shown in figure. The ratio of heat absorbed and the work done by the gas in process $1-2$ is
    View Solution
  • 8
    In thermodynamics, heat and work are
    View Solution
  • 9
    A Carnot engine has efficiency of $50 \%$. If the temperature of sink is reduced by $40^{\circ} C$, its efficiency increases by $30 \%$. The temperature of the source will be$....K$
    View Solution
  • 10
    Which of the following statements is correct for any thermodynamic system
    View Solution