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An ideal gas heat engine operates in a Carnot cycle between $227^o C$ and $127^o C$. It absorbs $6\,kcal$ at the higher temperature. The amount of heat (in $kcal$) converted into work is equal to
An engineer claims to have made an engine delivering $10 kW$ power with fuel consumption of $1\,g\,{s^{ - 1}}$. The calorific value of fuel is $2k cal/g$. His claim
One mole of helium is adiabatically expanded from its initial state $({P_i},{V_i},{T_i})$ to its final state $({P_f},{V_f},{T_f})$. The decrease in the internal energy associated with this expansion is equal to
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.
$Assertion :$ The heat supplied to a system is always equal to the increase in its internal energy.
$Reason :$ When a system changes from one thermal equilibrium to another, some heat is absorbed by it.
The $P-V$ diagram of $2\,g$ of helium gas for a certain process $A$ $\to$ $B$ is shown in the figure. What is the heat given to the gas during the process $A$ $\to$ $B$?