Law of Gases (Boyle's Law, Charles's Law, Gay-Lussac's Law, Avogadro's Law)
Kinetic Theory of Gases

138951 An ideal gas at pressure $P$ is adiabatically compressed so that its density becomes $n$ times the initial value. If $\gamma=\mathbf{C}_{\mathrm{p}} / \mathbf{C}_{\mathbf{v}}$ the final pressure of the gas will be

1 $\mathrm{n}^{(1-\gamma)} \mathrm{P}$
2 $n^{(\mathrm{r}-\gamma)} \mathrm{P}$
3 $\mathrm{n}^{(-\gamma)} \mathrm{P}$
4 $n^{(\gamma)} \mathrm{P}$
Kinetic Theory of Gases

138952 A cylinder of fixed capacity 67.2 litres contains helium gas at STP. The amount of heat needed to rise the temperature of the gas in the cylinder by $20^{\circ} \mathrm{C}$ is
$\left(\mathrm{R}=\mathbf{8 . 3 1} \mathrm{J} \mathrm{mol}^{-1} \mathrm{~K}^{-1}\right)$

1 $748 \mathrm{~J}$
2 $374 \mathrm{~J}$
3 $1000 \mathrm{~J}$
4 $500 \mathrm{~J}$
Kinetic Theory of Gases

138953 $5 \mathrm{~mol}$ of hydrogen gas is heated from $30^{\circ} \mathrm{C}$ to $60^{\circ} \mathrm{C}$ at constant pressure. Heat given to the gas is (given $\mathbf{R}=\mathbf{2 c a l} / \mathrm{mol}$ deg)

1 $750 \mathrm{cal}$
2 $630 \mathrm{cal}$
3 $1050 \mathrm{cal}$
4 $1470 \mathrm{cal}$
Kinetic Theory of Gases

138954 A given quantity of gas is taken from the state A to the state $C$ reversibly by two paths,
$A \rightarrow C$ directly and $A \rightarrow B \rightarrow C$ as shown in the figure below:

During the process $\mathrm{A} \rightarrow \mathrm{C}$, work done by the gas is $100 \mathrm{~J}$ and heat absorbed is 120 . If during the process $A \rightarrow B \rightarrow C$, the work done by the gas is $80 \mathrm{~J}$, the heat absorbed it

1 $60 \mathrm{~J}$
2 $100 \mathrm{~J}$
3 $140 \mathrm{~J}$
4 $300 \mathrm{~J}$
Kinetic Theory of Gases

138951 An ideal gas at pressure $P$ is adiabatically compressed so that its density becomes $n$ times the initial value. If $\gamma=\mathbf{C}_{\mathrm{p}} / \mathbf{C}_{\mathbf{v}}$ the final pressure of the gas will be

1 $\mathrm{n}^{(1-\gamma)} \mathrm{P}$
2 $n^{(\mathrm{r}-\gamma)} \mathrm{P}$
3 $\mathrm{n}^{(-\gamma)} \mathrm{P}$
4 $n^{(\gamma)} \mathrm{P}$
Kinetic Theory of Gases

138952 A cylinder of fixed capacity 67.2 litres contains helium gas at STP. The amount of heat needed to rise the temperature of the gas in the cylinder by $20^{\circ} \mathrm{C}$ is
$\left(\mathrm{R}=\mathbf{8 . 3 1} \mathrm{J} \mathrm{mol}^{-1} \mathrm{~K}^{-1}\right)$

1 $748 \mathrm{~J}$
2 $374 \mathrm{~J}$
3 $1000 \mathrm{~J}$
4 $500 \mathrm{~J}$
Kinetic Theory of Gases

138953 $5 \mathrm{~mol}$ of hydrogen gas is heated from $30^{\circ} \mathrm{C}$ to $60^{\circ} \mathrm{C}$ at constant pressure. Heat given to the gas is (given $\mathbf{R}=\mathbf{2 c a l} / \mathrm{mol}$ deg)

1 $750 \mathrm{cal}$
2 $630 \mathrm{cal}$
3 $1050 \mathrm{cal}$
4 $1470 \mathrm{cal}$
Kinetic Theory of Gases

138954 A given quantity of gas is taken from the state A to the state $C$ reversibly by two paths,
$A \rightarrow C$ directly and $A \rightarrow B \rightarrow C$ as shown in the figure below:

During the process $\mathrm{A} \rightarrow \mathrm{C}$, work done by the gas is $100 \mathrm{~J}$ and heat absorbed is 120 . If during the process $A \rightarrow B \rightarrow C$, the work done by the gas is $80 \mathrm{~J}$, the heat absorbed it

1 $60 \mathrm{~J}$
2 $100 \mathrm{~J}$
3 $140 \mathrm{~J}$
4 $300 \mathrm{~J}$
Kinetic Theory of Gases

138951 An ideal gas at pressure $P$ is adiabatically compressed so that its density becomes $n$ times the initial value. If $\gamma=\mathbf{C}_{\mathrm{p}} / \mathbf{C}_{\mathbf{v}}$ the final pressure of the gas will be

1 $\mathrm{n}^{(1-\gamma)} \mathrm{P}$
2 $n^{(\mathrm{r}-\gamma)} \mathrm{P}$
3 $\mathrm{n}^{(-\gamma)} \mathrm{P}$
4 $n^{(\gamma)} \mathrm{P}$
Kinetic Theory of Gases

138952 A cylinder of fixed capacity 67.2 litres contains helium gas at STP. The amount of heat needed to rise the temperature of the gas in the cylinder by $20^{\circ} \mathrm{C}$ is
$\left(\mathrm{R}=\mathbf{8 . 3 1} \mathrm{J} \mathrm{mol}^{-1} \mathrm{~K}^{-1}\right)$

1 $748 \mathrm{~J}$
2 $374 \mathrm{~J}$
3 $1000 \mathrm{~J}$
4 $500 \mathrm{~J}$
Kinetic Theory of Gases

138953 $5 \mathrm{~mol}$ of hydrogen gas is heated from $30^{\circ} \mathrm{C}$ to $60^{\circ} \mathrm{C}$ at constant pressure. Heat given to the gas is (given $\mathbf{R}=\mathbf{2 c a l} / \mathrm{mol}$ deg)

1 $750 \mathrm{cal}$
2 $630 \mathrm{cal}$
3 $1050 \mathrm{cal}$
4 $1470 \mathrm{cal}$
Kinetic Theory of Gases

138954 A given quantity of gas is taken from the state A to the state $C$ reversibly by two paths,
$A \rightarrow C$ directly and $A \rightarrow B \rightarrow C$ as shown in the figure below:

During the process $\mathrm{A} \rightarrow \mathrm{C}$, work done by the gas is $100 \mathrm{~J}$ and heat absorbed is 120 . If during the process $A \rightarrow B \rightarrow C$, the work done by the gas is $80 \mathrm{~J}$, the heat absorbed it

1 $60 \mathrm{~J}$
2 $100 \mathrm{~J}$
3 $140 \mathrm{~J}$
4 $300 \mathrm{~J}$
Kinetic Theory of Gases

138951 An ideal gas at pressure $P$ is adiabatically compressed so that its density becomes $n$ times the initial value. If $\gamma=\mathbf{C}_{\mathrm{p}} / \mathbf{C}_{\mathbf{v}}$ the final pressure of the gas will be

1 $\mathrm{n}^{(1-\gamma)} \mathrm{P}$
2 $n^{(\mathrm{r}-\gamma)} \mathrm{P}$
3 $\mathrm{n}^{(-\gamma)} \mathrm{P}$
4 $n^{(\gamma)} \mathrm{P}$
Kinetic Theory of Gases

138952 A cylinder of fixed capacity 67.2 litres contains helium gas at STP. The amount of heat needed to rise the temperature of the gas in the cylinder by $20^{\circ} \mathrm{C}$ is
$\left(\mathrm{R}=\mathbf{8 . 3 1} \mathrm{J} \mathrm{mol}^{-1} \mathrm{~K}^{-1}\right)$

1 $748 \mathrm{~J}$
2 $374 \mathrm{~J}$
3 $1000 \mathrm{~J}$
4 $500 \mathrm{~J}$
Kinetic Theory of Gases

138953 $5 \mathrm{~mol}$ of hydrogen gas is heated from $30^{\circ} \mathrm{C}$ to $60^{\circ} \mathrm{C}$ at constant pressure. Heat given to the gas is (given $\mathbf{R}=\mathbf{2 c a l} / \mathrm{mol}$ deg)

1 $750 \mathrm{cal}$
2 $630 \mathrm{cal}$
3 $1050 \mathrm{cal}$
4 $1470 \mathrm{cal}$
Kinetic Theory of Gases

138954 A given quantity of gas is taken from the state A to the state $C$ reversibly by two paths,
$A \rightarrow C$ directly and $A \rightarrow B \rightarrow C$ as shown in the figure below:

During the process $\mathrm{A} \rightarrow \mathrm{C}$, work done by the gas is $100 \mathrm{~J}$ and heat absorbed is 120 . If during the process $A \rightarrow B \rightarrow C$, the work done by the gas is $80 \mathrm{~J}$, the heat absorbed it

1 $60 \mathrm{~J}$
2 $100 \mathrm{~J}$
3 $140 \mathrm{~J}$
4 $300 \mathrm{~J}$