If $R =$ universal gas constant, the amount of heat needed to raise the temperature of $2$ mole of an ideal monoatomic gas from $273K$ to $373K$ when no work is done ...... $R$
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The efficiency of a thermodynamic cycle $1-2-3- 1$ (see picture) is $20\%$ and for another thermodynamic cycle $1 - 3-4 - 1$ efficiency is equal to $10\%$. Determine the efficiency $\eta $ (in $\%$) of the thermodynamic cycle $1-2-3-4- 1.$The gas is assumed to be ideal
A Carnot engine, whose efficiency is $40\%$, takes in heat from a source maintained at a temperature of $500\ K$. It is desired to have an engine of efficiency $60\%$. Then, the intake temperature for the same exhaust (sink) temperature must be ....... $K$
$Assertion :$ The Carnot cycle is useful in understanding the performance of heat engines.
$Reason :$ The Carnot cycle provides a way of determining the maximum possible efficiency achievable with reservoirs of given temperatures.
A Carnot engine has efficiency $25\%$ . It operates between reservoirs of constant temperature with temperature difference of $80\,K$ . What is the temperature of low temperature reservoir ...... $^oC$
An ideal gas undergoes four different processes from the same initial state as shown in the figure below. Those processes are adiabatic, isothermal, isobaric and isochoric. The curve which represents the adiabatic process among $1,2,3$ and $4$ is
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?