P-V diagram of 2,g of helium gas for a certain process Ato B is shown in figure. heat given to gas d

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11.Thermodynamics

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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 $A \to B$?

$4P_0V_0$

$6P_0V_0$

$4.5P_0V_0$

$2P_0V_0$

Solution

$\Delta \mathrm{U}=\mathrm{nCVdT}$

$\Delta \mathrm{Q}=\Delta \mathrm{W}+\Delta \mathrm{V}$

$\Delta \mathrm{W}=\frac{1}{2} \times\left(2 \mathrm{P}_{0}+\mathrm{P}_{0}\right) \times \mathrm{V}_{0}=\frac{3}{2} \mathrm{P}_{0} \mathrm{V}_{0}$

$\frac{\mathrm{PV}}{\mathrm{T}}=\mathrm{const}=\mathrm{nR}$

$\frac{\mathrm{P}_{0} \mathrm{V}_{0}}{\mathrm{T}_{0}}=\frac{2 \mathrm{P}_{0} 2 \mathrm{V}_{0}}{\mathrm{T}^{\prime}}$

$\mathrm{T}^{\prime}=4 \mathrm{T}_{0}$

change in temperature $=3 \mathrm{T}_{0}$ $\Delta \mathrm{U}=\mathrm{n} \times \frac{3}{2} \mathrm{R} \times 3 \mathrm{T}_{0}=\frac{9}{2}\left(\mathrm{nRT}_{0}\right)=\frac{9}{2} \mathrm{P}_{0} \mathrm{V}_{0}$

$\Delta \mathrm{Q}=6 \mathrm{P}_{0} \mathrm{V}_{0}$

Standard 11

Physics

In an adiabatic expansion the product of pressure and volume.

normal

One mole of an ideal gas $(C_p/C_v = \gamma )$ at absolute temperature $T_1$ is adiabatically compresses from an initial pressure $P_1$ to a final pressure $P_2$. The resulting temperature $T_2$ of the gas is given by

normal

A termodynamic system is taken through the closed cycle $PQRSP$ process. The net work done by the system is …… $J$

normal

A carnot engine having an efficiency of $\frac{1}{10}$ is being used as a refrigerator. If the work done on the refrigerator is $10 \;\mathrm{J},$ the amount of heat absorbed from the reservoir at lower temperature is ………….. $\mathrm{J}$

normal

The heat energy absorbed by a system in going through a cyclic process shown in figure is

normal

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 $A \to B$?

Solution

Similar Questions

In an adiabatic expansion the product of pressure and volume.

One mole of an ideal gas $(C_p/C_v = \gamma )$ at absolute temperature $T_1$ is adiabatically compresses from an initial pressure $P_1$ to a final pressure $P_2$. The resulting temperature $T_2$ of the gas is given by

A termodynamic system is taken through the closed cycle $PQRSP$ process. The net work done by the system is …… $J$

A carnot engine having an efficiency of $\frac{1}{10}$ is being used as a refrigerator. If the work done on the refrigerator is $10 \;\mathrm{J},$ the amount of heat absorbed from the reservoir at lower temperature is ………….. $\mathrm{J}$

The heat energy absorbed by a system in going through a cyclic process shown in figure is

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