Ideal Gas Equation and Vander Waal equation
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Kinetic Theory of Gases

139010 A vessel of volume $40 l$ contains ideal gas at the temperature $0{ }^{\circ} \mathrm{C}$. After a portion of the gas has been let out, the pressure in the vessel decreased by $\Delta P=0.78 \mathrm{~atm}$, while the temperature remaining constant, Assuming the density of the gas under normal conditions as $\rho$ $=1.3 \mathrm{~g} / l$. the mass of the released gas is

1 $30.6 \mathrm{~g}$
2 $15 \mathrm{~g}$
3 $40.6 \mathrm{~g}$
4 $25 \mathrm{~g}$
Kinetic Theory of Gases

139011 One mole of an ideal gas at an initial temperature of $T K$ does $6 R$ joules of work adiabatically. If the ratio of specific heats of this gas at constant pressure and at constant volume is $5 / 3$, the final temperature of gas will be

1 $(\mathrm{T}-4) \mathrm{K}$
2 $(\mathrm{T}+2.4) \mathrm{K}$
3 $(\mathrm{T}-2.4) \mathrm{K}$
4 $(\mathrm{T}+4) \mathrm{K}$
Kinetic Theory of Gases

139012 An ideal gas is expanding such that $\mathbf{p T}^{2}=$ constant. The coefficient of volume expansion of the gas is-

1 $\frac{1}{\mathrm{~T}}$
2 $\frac{2}{\mathrm{~T}}$
3 $\frac{3}{\mathrm{~T}}$
4 $\frac{4}{\mathrm{~T}}$
Kinetic Theory of Gases

139013 A one mole of ideal gas goes through a process in which pressure $p$ varies with volume $V$ as $p$ $=3-g\left(\frac{\mathbf{V}}{\mathbf{V}_{0}}\right)^{2}$, where, $\mathbf{V}_{0}$ is a constant. The maximum attainable temperature by the ideal gas during this process is (all quantities are is $S I$ units and $R$ is gas constant)

1 $\frac{2 V_{o}}{3 R}$
2 $\frac{2 V_{o}}{R}$
3 $\frac{3 \mathrm{~V}_{\mathrm{o}}}{2 \mathrm{R}}$
4 None of these
Kinetic Theory of Gases

139010 A vessel of volume $40 l$ contains ideal gas at the temperature $0{ }^{\circ} \mathrm{C}$. After a portion of the gas has been let out, the pressure in the vessel decreased by $\Delta P=0.78 \mathrm{~atm}$, while the temperature remaining constant, Assuming the density of the gas under normal conditions as $\rho$ $=1.3 \mathrm{~g} / l$. the mass of the released gas is

1 $30.6 \mathrm{~g}$
2 $15 \mathrm{~g}$
3 $40.6 \mathrm{~g}$
4 $25 \mathrm{~g}$
Kinetic Theory of Gases

139011 One mole of an ideal gas at an initial temperature of $T K$ does $6 R$ joules of work adiabatically. If the ratio of specific heats of this gas at constant pressure and at constant volume is $5 / 3$, the final temperature of gas will be

1 $(\mathrm{T}-4) \mathrm{K}$
2 $(\mathrm{T}+2.4) \mathrm{K}$
3 $(\mathrm{T}-2.4) \mathrm{K}$
4 $(\mathrm{T}+4) \mathrm{K}$
Kinetic Theory of Gases

139012 An ideal gas is expanding such that $\mathbf{p T}^{2}=$ constant. The coefficient of volume expansion of the gas is-

1 $\frac{1}{\mathrm{~T}}$
2 $\frac{2}{\mathrm{~T}}$
3 $\frac{3}{\mathrm{~T}}$
4 $\frac{4}{\mathrm{~T}}$
Kinetic Theory of Gases

139013 A one mole of ideal gas goes through a process in which pressure $p$ varies with volume $V$ as $p$ $=3-g\left(\frac{\mathbf{V}}{\mathbf{V}_{0}}\right)^{2}$, where, $\mathbf{V}_{0}$ is a constant. The maximum attainable temperature by the ideal gas during this process is (all quantities are is $S I$ units and $R$ is gas constant)

1 $\frac{2 V_{o}}{3 R}$
2 $\frac{2 V_{o}}{R}$
3 $\frac{3 \mathrm{~V}_{\mathrm{o}}}{2 \mathrm{R}}$
4 None of these
Kinetic Theory of Gases

139010 A vessel of volume $40 l$ contains ideal gas at the temperature $0{ }^{\circ} \mathrm{C}$. After a portion of the gas has been let out, the pressure in the vessel decreased by $\Delta P=0.78 \mathrm{~atm}$, while the temperature remaining constant, Assuming the density of the gas under normal conditions as $\rho$ $=1.3 \mathrm{~g} / l$. the mass of the released gas is

1 $30.6 \mathrm{~g}$
2 $15 \mathrm{~g}$
3 $40.6 \mathrm{~g}$
4 $25 \mathrm{~g}$
Kinetic Theory of Gases

139011 One mole of an ideal gas at an initial temperature of $T K$ does $6 R$ joules of work adiabatically. If the ratio of specific heats of this gas at constant pressure and at constant volume is $5 / 3$, the final temperature of gas will be

1 $(\mathrm{T}-4) \mathrm{K}$
2 $(\mathrm{T}+2.4) \mathrm{K}$
3 $(\mathrm{T}-2.4) \mathrm{K}$
4 $(\mathrm{T}+4) \mathrm{K}$
Kinetic Theory of Gases

139012 An ideal gas is expanding such that $\mathbf{p T}^{2}=$ constant. The coefficient of volume expansion of the gas is-

1 $\frac{1}{\mathrm{~T}}$
2 $\frac{2}{\mathrm{~T}}$
3 $\frac{3}{\mathrm{~T}}$
4 $\frac{4}{\mathrm{~T}}$
Kinetic Theory of Gases

139013 A one mole of ideal gas goes through a process in which pressure $p$ varies with volume $V$ as $p$ $=3-g\left(\frac{\mathbf{V}}{\mathbf{V}_{0}}\right)^{2}$, where, $\mathbf{V}_{0}$ is a constant. The maximum attainable temperature by the ideal gas during this process is (all quantities are is $S I$ units and $R$ is gas constant)

1 $\frac{2 V_{o}}{3 R}$
2 $\frac{2 V_{o}}{R}$
3 $\frac{3 \mathrm{~V}_{\mathrm{o}}}{2 \mathrm{R}}$
4 None of these
Kinetic Theory of Gases

139010 A vessel of volume $40 l$ contains ideal gas at the temperature $0{ }^{\circ} \mathrm{C}$. After a portion of the gas has been let out, the pressure in the vessel decreased by $\Delta P=0.78 \mathrm{~atm}$, while the temperature remaining constant, Assuming the density of the gas under normal conditions as $\rho$ $=1.3 \mathrm{~g} / l$. the mass of the released gas is

1 $30.6 \mathrm{~g}$
2 $15 \mathrm{~g}$
3 $40.6 \mathrm{~g}$
4 $25 \mathrm{~g}$
Kinetic Theory of Gases

139011 One mole of an ideal gas at an initial temperature of $T K$ does $6 R$ joules of work adiabatically. If the ratio of specific heats of this gas at constant pressure and at constant volume is $5 / 3$, the final temperature of gas will be

1 $(\mathrm{T}-4) \mathrm{K}$
2 $(\mathrm{T}+2.4) \mathrm{K}$
3 $(\mathrm{T}-2.4) \mathrm{K}$
4 $(\mathrm{T}+4) \mathrm{K}$
Kinetic Theory of Gases

139012 An ideal gas is expanding such that $\mathbf{p T}^{2}=$ constant. The coefficient of volume expansion of the gas is-

1 $\frac{1}{\mathrm{~T}}$
2 $\frac{2}{\mathrm{~T}}$
3 $\frac{3}{\mathrm{~T}}$
4 $\frac{4}{\mathrm{~T}}$
Kinetic Theory of Gases

139013 A one mole of ideal gas goes through a process in which pressure $p$ varies with volume $V$ as $p$ $=3-g\left(\frac{\mathbf{V}}{\mathbf{V}_{0}}\right)^{2}$, where, $\mathbf{V}_{0}$ is a constant. The maximum attainable temperature by the ideal gas during this process is (all quantities are is $S I$ units and $R$ is gas constant)

1 $\frac{2 V_{o}}{3 R}$
2 $\frac{2 V_{o}}{R}$
3 $\frac{3 \mathrm{~V}_{\mathrm{o}}}{2 \mathrm{R}}$
4 None of these