An ideal gas is taken around $ABCA$ as shown in the above $P-V$ diagram. The work done during a cycle is
Easy
Download our app for free and get startedPlay store
(a) Work done = Area enclosed by triangle $ABC$

$ = \frac{1}{2}AC \times BC = \frac{1}{2} \times (3V - V) \times (3P - P) = 2\,PV$

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 the amount of work done is $333\, cal$ and change in internal energy is $167\, cal$, then the heat supplied is ....... $cal$
    View Solution
  • 2
    A system goes from $A$ to $B$ via two processes $I$ and $II$ as shown in figure. If $\Delta {U_1}$ and $\Delta {U_2}$ are the changes in internal energies in the processes $I$ and $II$ respectively, then
    View Solution
  • 3
    At constant pressure how much fraction of heat supplied to gas is converted into mechanical work?
    View Solution
  • 4
    On a $TP$ diagram, two moles of ideal gas perform process $AB$ and $CD$. If the work done by the gas in the process $AB$ is two times the work done in the process $CD$ then what is the value of $T_1/T_2$?
    View Solution
  • 5
    A solid body of constant heat capacity $1\,J /{ }^{\circ} C$ is being heated by keeping it in contact with reservoirs in two ways :

    $(i)$ Sequentially keeping in contact with $2$ reservoirs such that each reservoir supplies same amount of heat.

    $(ii)$ Sequentially keeping in contact with 8 reservoirs such that each reservoir supplies same amount of heat.

    In both the cases body is brought from initial temperature $100^{\circ}\,C$ to final temperature $200^{\circ}\,C$. Entropy change of the body in the two cases respectively is :

    View Solution
  • 6
    The pressure $P_{1}$ and density $d_{1}$ of diatomic gas $\left(\gamma=\frac{7}{5}\right)$ changes suddenly to $P _{2}\left(> P _{1}\right)$ and $d _{2}$ respectively during an adiabatic process. The temperature of the gas increases and becomes $......$ times of its initial temperature.$\left(\right.$ given $\left.\frac{ d _{2}}{ d _{1}}=32\right)$
    View Solution
  • 7
    An ideal gas heat engine operates in a Carnot cycle between $227^o C$ and $127^o C$. It absorbs $6\,kcal$ at the higher temperature. The amount of heat (in $kcal$) converted into work is equal to
    View Solution
  • 8
    Even Carnot engine cannot give $100\%$ efficiency because we cannot
    View Solution
  • 9
    In thermodynamic processes which of the following statements is not true?
    View Solution
  • 10
    $Assertion :$ The isothermal curves intersect each other at a certain point.
    $Reason :$ The isothermal change takes place slowly, so, the isothermal curves have very little slope.
    View Solution