314262
Gases \(\mathrm{X, Y, Z, P}\) and \(\mathrm{Q}\) have the van der Waals' constant \({\rm{'a'}}\,\,{\rm{and}}\,\,{\rm{'b'}}\) (in CGS units) as shown below: The gas with the highest critical temperature is
1 \(\mathrm{\mathrm{P}}\)
2 Q
3 \(\mathrm{\mathrm{Y}}\)
4 \(\mathrm{\mathrm{X}}\)
Explanation:
Critical temperature, \(\mathrm{T_{c}=\dfrac{8 a}{27 R b}}\) Greater the value of \(\left( {\frac{{\rm{a}}}{{\rm{b}}}} \right)\), more is the critical temperature of gas. \(\mathrm{\operatorname{Gas} X, \dfrac{a}{b}=\dfrac{6}{0.025}=240 ; \operatorname{Gas} Y, \dfrac{a}{b}=\dfrac{6}{0.150}=40}\); \(\mathrm{\operatorname{Gas} Z, \dfrac{a}{b}=\dfrac{20}{0.1}=200 ; \operatorname{Gas} P, \dfrac{a}{b}=\dfrac{0.05}{0.02}=2.5}\); \(\mathrm{\operatorname{Gas} Q, \dfrac{a}{b}=\dfrac{30}{0.2}=150}\) Therefore, gas \(\mathrm{\mathrm{X}}\) will have the highest critical temperature.
CHXI06:STATES OF MATTER
314263
For a real gas, the \({\rm{P - V}}\) curve was experimentally plotted, and it had the following appearance with respect to liquification. Choose the correct statement.
1 At T \(\mathrm{=500 \mathrm{~K}, \mathrm{P}=40 \mathrm{~atm}}\), the state will be liquid
2 At \(\mathrm{\mathrm{T}=300 \mathrm{~K}, \mathrm{P}=50 \mathrm{~atm}}\), the state will be gas
3 At T \(\mathrm{ < 300 \mathrm{~K}}\), P \(\mathrm{>20 \mathrm{~atm}}\), the state will be gas
4 At \(\mathrm{300 \mathrm{~K} < \mathrm{T} < 500 \mathrm{~K}}\), P \(\mathrm{>50 \mathrm{~atm}}\), the state will be liquid
314262
Gases \(\mathrm{X, Y, Z, P}\) and \(\mathrm{Q}\) have the van der Waals' constant \({\rm{'a'}}\,\,{\rm{and}}\,\,{\rm{'b'}}\) (in CGS units) as shown below: The gas with the highest critical temperature is
1 \(\mathrm{\mathrm{P}}\)
2 Q
3 \(\mathrm{\mathrm{Y}}\)
4 \(\mathrm{\mathrm{X}}\)
Explanation:
Critical temperature, \(\mathrm{T_{c}=\dfrac{8 a}{27 R b}}\) Greater the value of \(\left( {\frac{{\rm{a}}}{{\rm{b}}}} \right)\), more is the critical temperature of gas. \(\mathrm{\operatorname{Gas} X, \dfrac{a}{b}=\dfrac{6}{0.025}=240 ; \operatorname{Gas} Y, \dfrac{a}{b}=\dfrac{6}{0.150}=40}\); \(\mathrm{\operatorname{Gas} Z, \dfrac{a}{b}=\dfrac{20}{0.1}=200 ; \operatorname{Gas} P, \dfrac{a}{b}=\dfrac{0.05}{0.02}=2.5}\); \(\mathrm{\operatorname{Gas} Q, \dfrac{a}{b}=\dfrac{30}{0.2}=150}\) Therefore, gas \(\mathrm{\mathrm{X}}\) will have the highest critical temperature.
CHXI06:STATES OF MATTER
314263
For a real gas, the \({\rm{P - V}}\) curve was experimentally plotted, and it had the following appearance with respect to liquification. Choose the correct statement.
1 At T \(\mathrm{=500 \mathrm{~K}, \mathrm{P}=40 \mathrm{~atm}}\), the state will be liquid
2 At \(\mathrm{\mathrm{T}=300 \mathrm{~K}, \mathrm{P}=50 \mathrm{~atm}}\), the state will be gas
3 At T \(\mathrm{ < 300 \mathrm{~K}}\), P \(\mathrm{>20 \mathrm{~atm}}\), the state will be gas
4 At \(\mathrm{300 \mathrm{~K} < \mathrm{T} < 500 \mathrm{~K}}\), P \(\mathrm{>50 \mathrm{~atm}}\), the state will be liquid
314262
Gases \(\mathrm{X, Y, Z, P}\) and \(\mathrm{Q}\) have the van der Waals' constant \({\rm{'a'}}\,\,{\rm{and}}\,\,{\rm{'b'}}\) (in CGS units) as shown below: The gas with the highest critical temperature is
1 \(\mathrm{\mathrm{P}}\)
2 Q
3 \(\mathrm{\mathrm{Y}}\)
4 \(\mathrm{\mathrm{X}}\)
Explanation:
Critical temperature, \(\mathrm{T_{c}=\dfrac{8 a}{27 R b}}\) Greater the value of \(\left( {\frac{{\rm{a}}}{{\rm{b}}}} \right)\), more is the critical temperature of gas. \(\mathrm{\operatorname{Gas} X, \dfrac{a}{b}=\dfrac{6}{0.025}=240 ; \operatorname{Gas} Y, \dfrac{a}{b}=\dfrac{6}{0.150}=40}\); \(\mathrm{\operatorname{Gas} Z, \dfrac{a}{b}=\dfrac{20}{0.1}=200 ; \operatorname{Gas} P, \dfrac{a}{b}=\dfrac{0.05}{0.02}=2.5}\); \(\mathrm{\operatorname{Gas} Q, \dfrac{a}{b}=\dfrac{30}{0.2}=150}\) Therefore, gas \(\mathrm{\mathrm{X}}\) will have the highest critical temperature.
CHXI06:STATES OF MATTER
314263
For a real gas, the \({\rm{P - V}}\) curve was experimentally plotted, and it had the following appearance with respect to liquification. Choose the correct statement.
1 At T \(\mathrm{=500 \mathrm{~K}, \mathrm{P}=40 \mathrm{~atm}}\), the state will be liquid
2 At \(\mathrm{\mathrm{T}=300 \mathrm{~K}, \mathrm{P}=50 \mathrm{~atm}}\), the state will be gas
3 At T \(\mathrm{ < 300 \mathrm{~K}}\), P \(\mathrm{>20 \mathrm{~atm}}\), the state will be gas
4 At \(\mathrm{300 \mathrm{~K} < \mathrm{T} < 500 \mathrm{~K}}\), P \(\mathrm{>50 \mathrm{~atm}}\), the state will be liquid
314262
Gases \(\mathrm{X, Y, Z, P}\) and \(\mathrm{Q}\) have the van der Waals' constant \({\rm{'a'}}\,\,{\rm{and}}\,\,{\rm{'b'}}\) (in CGS units) as shown below: The gas with the highest critical temperature is
1 \(\mathrm{\mathrm{P}}\)
2 Q
3 \(\mathrm{\mathrm{Y}}\)
4 \(\mathrm{\mathrm{X}}\)
Explanation:
Critical temperature, \(\mathrm{T_{c}=\dfrac{8 a}{27 R b}}\) Greater the value of \(\left( {\frac{{\rm{a}}}{{\rm{b}}}} \right)\), more is the critical temperature of gas. \(\mathrm{\operatorname{Gas} X, \dfrac{a}{b}=\dfrac{6}{0.025}=240 ; \operatorname{Gas} Y, \dfrac{a}{b}=\dfrac{6}{0.150}=40}\); \(\mathrm{\operatorname{Gas} Z, \dfrac{a}{b}=\dfrac{20}{0.1}=200 ; \operatorname{Gas} P, \dfrac{a}{b}=\dfrac{0.05}{0.02}=2.5}\); \(\mathrm{\operatorname{Gas} Q, \dfrac{a}{b}=\dfrac{30}{0.2}=150}\) Therefore, gas \(\mathrm{\mathrm{X}}\) will have the highest critical temperature.
CHXI06:STATES OF MATTER
314263
For a real gas, the \({\rm{P - V}}\) curve was experimentally plotted, and it had the following appearance with respect to liquification. Choose the correct statement.
1 At T \(\mathrm{=500 \mathrm{~K}, \mathrm{P}=40 \mathrm{~atm}}\), the state will be liquid
2 At \(\mathrm{\mathrm{T}=300 \mathrm{~K}, \mathrm{P}=50 \mathrm{~atm}}\), the state will be gas
3 At T \(\mathrm{ < 300 \mathrm{~K}}\), P \(\mathrm{>20 \mathrm{~atm}}\), the state will be gas
4 At \(\mathrm{300 \mathrm{~K} < \mathrm{T} < 500 \mathrm{~K}}\), P \(\mathrm{>50 \mathrm{~atm}}\), the state will be liquid
