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This question has Statement $1$ and Statement $2.$ Of the four choices given after the Statements, choose the one that best describes the two Statements.
Statement $1:$ In an adiabatic process, change in internal energy of a gas is equal to work done on/by the gas in the process.
Statement $2 :$ The temperature of a gas remains constant in an adiabatic process.
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 ........ $J$
An ideal gas undergoes the process $1 \rightarrow 2$ as shown in the figure, the heat supplied and work done in the process is $\Delta \,\,Q$ and $\Delta \,\,W$ respectively. The ratio $\Delta \,\,Q :$ $\Delta \,\,W$ is
The efficiency of carnot engine is $50\%$ and temperature of sink is $500\,K$ . If temperature of source is kept constant and its efficiency raised to $60\%$ , then the required temperature of the sink will be .... $K$
One mole of a gas obeying the equation of state $P(V-b)=R T$ is made to expand from a state with coordinates $\left(P_{1}, V_{1}\right)$ to a state with $\left(P_{2}, V_{2}\right)$ along a process that is depicted by a straight line on a $P-V$ diagram. Then, the work done is given by