A vertical cylinder with heat-conducting walls is closed at the bottom and is fitted with a smooth light piston. It contains one mole of an ideal gas. The temperature of the gas is always equal to the surrounding’s temperature, $T_0$. The piston is moved up slowly to increase the volume of the gas to $\eta$ times. Which of the following is incorrect?
Diffcult
Download our app for free and get startedPlay store
isothermal process
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
    The above $P-V$ diagram represents the thermodynamic cycle of an engine, operating with an ideal monatomic gas. The amount of heat, extracted from the source in a single cycle is
    View Solution
  • 2
    An ideal gas is expanded adiabatically at an initial temperature of $300 K$ so that its volume is doubled. The final temperature of the hydrogen gas is $(\gamma = 1.40)$
    View Solution
  • 3
    In the figure given two processes $A$ and $B$ are shown by which a thermo-dynamical system goes from initial to final state $F.$ If $\Delta {Q_A}$ and $\Delta {Q_B}$ are respectively the heats supplied to the systems then
    View Solution
  • 4
    An ideal gas, initially in state $\left( P _{12}, V _1, T _1\right)$ is expanded isobarically to $\left( P _{12}, V _2, T _2\right)$, then adiabatically $\left( P _{34}, V _3, T _3\right)$. It is then contracted isobarically to $\left( P _{34}, V _4, T _4\right)$ and finally adiabatically back to the initial state. The efficiency of this cycle is
    View Solution
  • 5
    A mass of diatomic gas $(\gamma = 1 .4)$ at a pressure of $2$ atmospheres is compressed adiabatically so that its temperature rises from $27^o C$ to $927^o C.$ The pressure of the gas in the final state is  ...... $atm$
    View Solution
  • 6
    A reversible cyclic process for an ideal gas is shown below. Here, $P, V$, and $T$ are pressure, volume and temperature, respectively. The thermodynamic parameters $q, w, H$ and $U$ are heat, work, enthalpy and internal energy, respectively.

    (image)

    The correct option ($s$) is (are)

    $(A)$ $q_{A C}=\Delta U_{B C}$ and $W_{A B}=P_2\left(V_2-V_1\right)$

    $(B)$ $\mathrm{W}_{\mathrm{BC}}=\mathrm{P}_2\left(\mathrm{~V}_2-\mathrm{V}_1\right)$ and $\mathrm{q}_{\mathrm{BC}}=\mathrm{H}_{\mathrm{AC}}$

    $(C)$ $\Delta \mathrm{H}_{\mathrm{CA}}<\Delta \mathrm{U}_{\mathrm{CA}}$ and $\mathrm{q}_{\mathrm{AC}}=\Delta \mathrm{U}_{\mathrm{BC}}$

    $(D)$ $\mathrm{q}_{\mathrm{BC}}=\Delta \mathrm{H}_{\mathrm{AC}}$ and $\Delta \mathrm{H}_{\mathrm{CA}}>\Delta \mathrm{U}_{\mathrm{CA}}$

    View Solution
  • 7
    An ideal gas is taken through the cycle $A \to B \to C \to A$ , as shown in the figure. If the net heat supplied to the gas in the cycle is $5\ J$, the work done by the gas in the process $C \to A$ is  .... $J$
    View Solution
  • 8
    One mole of ideal gas undergoes a linear process as shown in the figure below. Its temperature expressed as a function of volume $V$ is
    View Solution
  • 9
    Compressed air in the tube of a wheel of a cycle at normal temperature suddenly starts coming out from a puncture. The air inside
    View Solution
  • 10
    During the melting of a slab of ice at $273\, K$ at atmospheric pressure
    View Solution