An ideal gas is taken from point $A$ to the point $B,$ as shown in the $P-V$ diagram, keeping the temperature constant. The work done in the process is
Medium
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(d) $W =$ Area bonded by the indicator diagram with $V-$ axis
$ = \frac{1}{2}({P_A} + {P_B})\,({V_B} - {V_A})$
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In a thermodynamic process pressure of a fixed mass of a gas is changed in such a manner that the gas releases $20 \,J$ of heat when $8 \,J$ of work was done on the gas. If the initial internal energy of the gas was $30 \,J$, then the final internal energy will be ........ $J$
A bubble from bottom of lake rises to its surface. Its volume doubles in the process. Assuming isothermal conditions, atmospheric pressure $= 75\, cm$ of $Hg$ and ratio of densities of mercury and water $40/3$. The depth of lake will be ..... $m$
Work done by a system under isothermal change from a volume ${V_1}$ to ${V_2}$ for a gas which obeys Vander Waal's equation $(V - \beta n)\,\left( {P + \frac{{\alpha {n^2}}}{V}} \right) = nRT$
A sample of an ideal gas is contained in a cylinder. The volume of the gas is suddenly decreased. A student makes the following statements to explain the change in pressure of the gas
$I.$ The average kinetic energy of the gas atoms increases
$II.$ The atoms of the gas hit the walls of the cylinder more frequently
$III.$ Temperature of the gas remains unchanged
Which of these statements is true?
A sample of gas at temperature $\mathrm{T}$ is adiabatically expanded to double its volume. Adiabatic constant for the gas is $\gamma=3 / 2$. The work done by the gas in the process is : $(\mu=1 \mathrm{~mole})$