In the cyclic process shown in the figure, the work done by the gas in one cycle is
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(d) Work done = Area under curve $ = \frac{{6{P_1} \times 3{V_1}}}{2}= 9 P_1V_1$
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Suppose that two heat engines are connected in series, such that the heat exhaust of the first engine is used as the heat input of the second engine as shown in figure. The efficiencies of the engines are $\eta_1$ and $\eta_2$, respectively. The net efficiency of the combination is given by
Air is filled in a motor tube at ${27^o}C$ and at a pressure of $8$ atmospheres. The tube suddenly bursts, then temperature of air is $[{\rm{Given}}\,\,\gamma \,{\rm{of}}\,{\rm{air}} = \,1.5]$
$n$ moles of a van der Waals' gas obeying the equation of state $\left(p+\frac{n^2 a}{V^2}\right)(V-n b)=n R T$, where $a$ and $b$ are gas dependent constants, is made to undergo a cyclic process that is depicted by a rectangle in the $p-V$ diagram as shown below. What is the heat absorbed by the gas in one cycle?
If $\gamma $ denotes the ratio of two specific heats of a gas, the ratio of slopes of adiabatic and isothermal $PV$ curves at their point of intersection is
During an experiment, an ideal gas is found to obey a condition $\frac{{{P^2}}}{\rho }$ = constant [$\rho =$ density of the gas]. The gas is initially at temperature $T,$ pressure $P$ and density $\rho$ . The gas expands such that density changes to $\rho/2$