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In a carnot engine, the temperature of reservoir is $527^{\circ} C$ and that of $\operatorname{sink}$ is $200 \; K$. If the workdone by the engine when it transfers heat from reservoir to sink is $12000 \; kJ$, the quantity of heat absorbed by the engine from reservoir is $\times 10^{6} \; J$
A thermodynamic system is taken form an initial state $i$ with internal energy $U_1=100 \ J$ to the final state along two different paths iaf and ibf, as schematically shown in the fire. The work done by the system along the paths $af$, ib and bf are $W _{ af }=200 \ J , W _{ ID }=50 \ J$ and $W _{ br }=100 \ J$ respectively. The heat supplied to the system along the path iaf, ib and bf are $Q_{\mid a t l} Q_{b r}$ and $Q_{10}$ respectively. If the internal energy of the sytem in the state $b$ is $U_b=$ $200 \ J$ and $Q_{l a t}=500 \ J$, the ratio $Q_{b J} / Q_{10}$ is:
$1\,g$ of a liquid is converted to vapour at $3 \times 10^5\,Pa$ pressure. If $10 \%$ of the heat supplied is used for increasing the volume by $1600\,cm ^3$ during this phase change, then the increase in internal energy in the process will be $............\,J$
The volume of a gas is reduced adiabatically to $\frac{1}{4}$ of its volume at $27°C$, if the value of $\gamma = 1.4,$ then the new temperature will be
An ideal gas is taken reversibly around the cycle $a-b-c-d-a$ as shown on the temperature $T$ - entropy $S$ diagram. The most appropriate representation of above cycle on a internal energy $U$ - volume $V$ diagram is
A Carnot's engine used first an ideal monoatomic gas then an ideal diatomic gas. If the source and sink temperature are ${411^o}C$ and ${69^o}C$ respectively and the engine extracts $1000\, J $ of heat in each cycle, then area enclosed by the $PV$ diagram is ........ $J$