A thermodynamic system is taken through the cycle $PQRSP$ process. The net work done by the system is ....... $J$
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(b) Work done by the system = Area of shaded portion on $P-V$ diagram
$ = (300 - 100){10^{ - 6}} \times (200 - 10) \times {10^3} = 20\,J$
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$540$ calories of heat convert $1 $ cubic centimeter of water at ${100^o}C$ into $1671 $ cubic centimeter of steam at ${100^o}C$ at a pressure of one atmosphere. Then the work done against the atmospheric pressure is nearly ...... $cal$
An ideal gas of density $\rho=0.2 kg m ^{-3}$ enters a chimney of height $h$ at the rate of $\alpha=0.8 kg s ^{-1}$ from its lower end, and escapes through the upper end as shown in the figure. The cross-sectional area of the lower end is $A_1=0.1 m ^2$ and the upper end is $A_2=0.4 m ^2$. The pressure and the temperature of the gas at the lower end are $600 Pa$ and $300 K$, respectively, while its temperature at the upper end is $150 K$. The chimney is heat insulated so that the gas undergoes adiabatic expansion. Take $g=10 ms ^{-2}$ and the ratio of specific heats of the gas $\gamma=2$. Ignore atmospheric pressure.
Which of the following statement($s$) is(are) correct?
An ideal gas with constant heat capacity $C_V=\frac{3}{2} n R$ is made to carry out a cycle that is depicted by a triangle in the figure given below. The following statement is true about the cycle.