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A Carnot engine absorbs $1000\,J$ of heat energy from a reservoir at $127\,^oC$ and rejects $600\,J$ of heat energy during each cycle. The efficiency of engine and temperature of sink will be
If one mole of an ideal gas goes through the process $A \rightarrow B$ and $B \rightarrow C .$ Given that $T _{ A }=400\, K ,$ and $T _{ C }=400 \,K .$ If $\frac{ P _{ B }}{ P _{ A }}=\frac{1}{5},$ then find the heat supplied to the gas (in $J$)
The pressure in the tyre of a car is four times the atmospheric pressure at $300 K$. If this tyre suddenly bursts, its new temperature will be $(\gamma = 1.4)$
The temperature inside and outside a refrigerator are $273 \,K$ and $300 \,K$ respectively. Assuming that the refrigerator cycle is reversible, for every joule of work done, the heat delivered to the surrounding will be nearly ........ $J$
Considere the thermodynamics cycle shown on $PV$ diagram. The process $A \rightarrow B$ is isobaric, $B \rightarrow C$ is isochoric and $C \rightarrow A$ is a straight line process. The following internal energy and heat are given $: \Delta U_{A \rightarrow B} = + 400\,\, kJ$ and $Q_{B \rightarrow C} = - 500\,\, kJ$ The heat flow in the process $Q_{C \rightarrow A}$ is ...... $kJ$
If one mole of an ideal gas at $\left( P _{1}, V _{1}\right)$ is allowed to expand reversibly and isothermally ($A$ to $B$ ) its pressure is reduced to one-half of the original pressure (see $figure$). This is followed by a constant volume cooling till its pressure is reduced to one-fourth of the initial value $( B \rightarrow C ) .$ Then it is restored to its initial state by a reversible adiabatic compression ($C$ to $A$). The net workdone by the gas is equal to ...... .
$A$ reversible engine converts one-sixth of the heat input into work. When the temperature of the sink is reduced by $ 62^oC$, the efficiency of the engine is doubled. The temperatures of the source and sink are