02. Thermodynamics Process
Thermodynamics

148346 The relation between efficiency $\eta$ of a heat engine and the coefficient of performance $\alpha$ of a refrigerator is

1 $\eta=\frac{1}{1-\alpha}$
2 $\eta=\frac{1}{1+\alpha}$
3 $\eta=1+\alpha$
4 $\eta=1-\alpha$
Thermodynamics

148347 A system is taken from state-A to state-B along two different paths. The heat absorbed and work done by the system along these two paths are $Q_{1}, Q_{2}$ and $W_{1}, W_{2}$ respectively, then

1 $\mathrm{Q}_{1}=\mathrm{Q}_{2}$
2 $\mathrm{W}_{1}=\mathrm{W}_{2}$
3 $\mathrm{Q}_{1}-\mathrm{W}_{1}=\mathrm{Q}_{2}-\mathrm{W}_{2}$
4 $\mathrm{Q}_{1}+\mathrm{W}_{1}=\mathrm{Q}_{2}+\mathrm{W}_{2}$
Thermodynamics

148348 Match the following
| List - I | List - II |
| :--- | :--- |
| (i) Isothermal process | (a) 0 |
| (ii) Isobaric process | (b) $\frac{1}{\gamma-1}\left[\mathrm{P}_2 \mathrm{~V}_2-\mathrm{P}_1 \mathrm{~V}_1\right]$ |
| (iii) Isochoric process | (c) $\mu \mathrm{RT} \ln \left(\frac{\mathrm{V}_2}{\mathrm{~V}_1}\right)$ |
| (iv) Adiabadic process | (d) $\mathrm{P}\left(\mathrm{V}_2-\mathrm{V}_1\right)$ |

1 i-c, ii-d, iii-a, iv-b
2 i-a, ii-d, iii-b, iv-c
3 i-c, ii-b, iii-d, iv-a
4 i-b, ii-c, iii-a, iv-d
Thermodynamics

148345 An ideal gas is subjected to a cyclic process $A B C D$ as depicted in the $p-V$ diagram given below

Which of the following curves represents the equivalent cyclic process?

1
2
3
4
Thermodynamics

148349 An ideal monoatomic gas is confined in a cylinder by a spring-loaded piston of area of cross-section $8 \times 10^{-3} \mathrm{~m}^{2}$. Initially the gas is at $300 \mathrm{~K}$ and occupies as volume of $2.4 \times 10^{-3} \mathrm{~m}^{3}$ and the spring is in its relaxed state as shown in the figure. The gas is heated by a small electric heater until the piston moves out slowly by $0.1 \mathrm{~m}$. The final temperature of the gas is
(The force constant of the spring $=8000 \mathrm{Nm}^{-1}$ Atmospheric pressure $=1 \times 10^{5} \mathrm{Nm}^{-2}$
The piston is massless and there is no friction between the piston and cylinder)

1 $800 \mathrm{~K}$
2 $400 \mathrm{~K}$
3 $600 \mathrm{~K}$
4 $300 \mathrm{~K}$
Thermodynamics

148346 The relation between efficiency $\eta$ of a heat engine and the coefficient of performance $\alpha$ of a refrigerator is

1 $\eta=\frac{1}{1-\alpha}$
2 $\eta=\frac{1}{1+\alpha}$
3 $\eta=1+\alpha$
4 $\eta=1-\alpha$
Thermodynamics

148347 A system is taken from state-A to state-B along two different paths. The heat absorbed and work done by the system along these two paths are $Q_{1}, Q_{2}$ and $W_{1}, W_{2}$ respectively, then

1 $\mathrm{Q}_{1}=\mathrm{Q}_{2}$
2 $\mathrm{W}_{1}=\mathrm{W}_{2}$
3 $\mathrm{Q}_{1}-\mathrm{W}_{1}=\mathrm{Q}_{2}-\mathrm{W}_{2}$
4 $\mathrm{Q}_{1}+\mathrm{W}_{1}=\mathrm{Q}_{2}+\mathrm{W}_{2}$
Thermodynamics

148348 Match the following
| List - I | List - II |
| :--- | :--- |
| (i) Isothermal process | (a) 0 |
| (ii) Isobaric process | (b) $\frac{1}{\gamma-1}\left[\mathrm{P}_2 \mathrm{~V}_2-\mathrm{P}_1 \mathrm{~V}_1\right]$ |
| (iii) Isochoric process | (c) $\mu \mathrm{RT} \ln \left(\frac{\mathrm{V}_2}{\mathrm{~V}_1}\right)$ |
| (iv) Adiabadic process | (d) $\mathrm{P}\left(\mathrm{V}_2-\mathrm{V}_1\right)$ |

1 i-c, ii-d, iii-a, iv-b
2 i-a, ii-d, iii-b, iv-c
3 i-c, ii-b, iii-d, iv-a
4 i-b, ii-c, iii-a, iv-d
Thermodynamics

148345 An ideal gas is subjected to a cyclic process $A B C D$ as depicted in the $p-V$ diagram given below

Which of the following curves represents the equivalent cyclic process?

1
2
3
4
Thermodynamics

148349 An ideal monoatomic gas is confined in a cylinder by a spring-loaded piston of area of cross-section $8 \times 10^{-3} \mathrm{~m}^{2}$. Initially the gas is at $300 \mathrm{~K}$ and occupies as volume of $2.4 \times 10^{-3} \mathrm{~m}^{3}$ and the spring is in its relaxed state as shown in the figure. The gas is heated by a small electric heater until the piston moves out slowly by $0.1 \mathrm{~m}$. The final temperature of the gas is
(The force constant of the spring $=8000 \mathrm{Nm}^{-1}$ Atmospheric pressure $=1 \times 10^{5} \mathrm{Nm}^{-2}$
The piston is massless and there is no friction between the piston and cylinder)

1 $800 \mathrm{~K}$
2 $400 \mathrm{~K}$
3 $600 \mathrm{~K}$
4 $300 \mathrm{~K}$
Thermodynamics

148346 The relation between efficiency $\eta$ of a heat engine and the coefficient of performance $\alpha$ of a refrigerator is

1 $\eta=\frac{1}{1-\alpha}$
2 $\eta=\frac{1}{1+\alpha}$
3 $\eta=1+\alpha$
4 $\eta=1-\alpha$
Thermodynamics

148347 A system is taken from state-A to state-B along two different paths. The heat absorbed and work done by the system along these two paths are $Q_{1}, Q_{2}$ and $W_{1}, W_{2}$ respectively, then

1 $\mathrm{Q}_{1}=\mathrm{Q}_{2}$
2 $\mathrm{W}_{1}=\mathrm{W}_{2}$
3 $\mathrm{Q}_{1}-\mathrm{W}_{1}=\mathrm{Q}_{2}-\mathrm{W}_{2}$
4 $\mathrm{Q}_{1}+\mathrm{W}_{1}=\mathrm{Q}_{2}+\mathrm{W}_{2}$
Thermodynamics

148348 Match the following
| List - I | List - II |
| :--- | :--- |
| (i) Isothermal process | (a) 0 |
| (ii) Isobaric process | (b) $\frac{1}{\gamma-1}\left[\mathrm{P}_2 \mathrm{~V}_2-\mathrm{P}_1 \mathrm{~V}_1\right]$ |
| (iii) Isochoric process | (c) $\mu \mathrm{RT} \ln \left(\frac{\mathrm{V}_2}{\mathrm{~V}_1}\right)$ |
| (iv) Adiabadic process | (d) $\mathrm{P}\left(\mathrm{V}_2-\mathrm{V}_1\right)$ |

1 i-c, ii-d, iii-a, iv-b
2 i-a, ii-d, iii-b, iv-c
3 i-c, ii-b, iii-d, iv-a
4 i-b, ii-c, iii-a, iv-d
Thermodynamics

148345 An ideal gas is subjected to a cyclic process $A B C D$ as depicted in the $p-V$ diagram given below

Which of the following curves represents the equivalent cyclic process?

1
2
3
4
Thermodynamics

148349 An ideal monoatomic gas is confined in a cylinder by a spring-loaded piston of area of cross-section $8 \times 10^{-3} \mathrm{~m}^{2}$. Initially the gas is at $300 \mathrm{~K}$ and occupies as volume of $2.4 \times 10^{-3} \mathrm{~m}^{3}$ and the spring is in its relaxed state as shown in the figure. The gas is heated by a small electric heater until the piston moves out slowly by $0.1 \mathrm{~m}$. The final temperature of the gas is
(The force constant of the spring $=8000 \mathrm{Nm}^{-1}$ Atmospheric pressure $=1 \times 10^{5} \mathrm{Nm}^{-2}$
The piston is massless and there is no friction between the piston and cylinder)

1 $800 \mathrm{~K}$
2 $400 \mathrm{~K}$
3 $600 \mathrm{~K}$
4 $300 \mathrm{~K}$
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Thermodynamics

148346 The relation between efficiency $\eta$ of a heat engine and the coefficient of performance $\alpha$ of a refrigerator is

1 $\eta=\frac{1}{1-\alpha}$
2 $\eta=\frac{1}{1+\alpha}$
3 $\eta=1+\alpha$
4 $\eta=1-\alpha$
Thermodynamics

148347 A system is taken from state-A to state-B along two different paths. The heat absorbed and work done by the system along these two paths are $Q_{1}, Q_{2}$ and $W_{1}, W_{2}$ respectively, then

1 $\mathrm{Q}_{1}=\mathrm{Q}_{2}$
2 $\mathrm{W}_{1}=\mathrm{W}_{2}$
3 $\mathrm{Q}_{1}-\mathrm{W}_{1}=\mathrm{Q}_{2}-\mathrm{W}_{2}$
4 $\mathrm{Q}_{1}+\mathrm{W}_{1}=\mathrm{Q}_{2}+\mathrm{W}_{2}$
Thermodynamics

148348 Match the following
| List - I | List - II |
| :--- | :--- |
| (i) Isothermal process | (a) 0 |
| (ii) Isobaric process | (b) $\frac{1}{\gamma-1}\left[\mathrm{P}_2 \mathrm{~V}_2-\mathrm{P}_1 \mathrm{~V}_1\right]$ |
| (iii) Isochoric process | (c) $\mu \mathrm{RT} \ln \left(\frac{\mathrm{V}_2}{\mathrm{~V}_1}\right)$ |
| (iv) Adiabadic process | (d) $\mathrm{P}\left(\mathrm{V}_2-\mathrm{V}_1\right)$ |

1 i-c, ii-d, iii-a, iv-b
2 i-a, ii-d, iii-b, iv-c
3 i-c, ii-b, iii-d, iv-a
4 i-b, ii-c, iii-a, iv-d
Thermodynamics

148345 An ideal gas is subjected to a cyclic process $A B C D$ as depicted in the $p-V$ diagram given below

Which of the following curves represents the equivalent cyclic process?

1
2
3
4
Thermodynamics

148349 An ideal monoatomic gas is confined in a cylinder by a spring-loaded piston of area of cross-section $8 \times 10^{-3} \mathrm{~m}^{2}$. Initially the gas is at $300 \mathrm{~K}$ and occupies as volume of $2.4 \times 10^{-3} \mathrm{~m}^{3}$ and the spring is in its relaxed state as shown in the figure. The gas is heated by a small electric heater until the piston moves out slowly by $0.1 \mathrm{~m}$. The final temperature of the gas is
(The force constant of the spring $=8000 \mathrm{Nm}^{-1}$ Atmospheric pressure $=1 \times 10^{5} \mathrm{Nm}^{-2}$
The piston is massless and there is no friction between the piston and cylinder)

1 $800 \mathrm{~K}$
2 $400 \mathrm{~K}$
3 $600 \mathrm{~K}$
4 $300 \mathrm{~K}$
Thermodynamics

148346 The relation between efficiency $\eta$ of a heat engine and the coefficient of performance $\alpha$ of a refrigerator is

1 $\eta=\frac{1}{1-\alpha}$
2 $\eta=\frac{1}{1+\alpha}$
3 $\eta=1+\alpha$
4 $\eta=1-\alpha$
Thermodynamics

148347 A system is taken from state-A to state-B along two different paths. The heat absorbed and work done by the system along these two paths are $Q_{1}, Q_{2}$ and $W_{1}, W_{2}$ respectively, then

1 $\mathrm{Q}_{1}=\mathrm{Q}_{2}$
2 $\mathrm{W}_{1}=\mathrm{W}_{2}$
3 $\mathrm{Q}_{1}-\mathrm{W}_{1}=\mathrm{Q}_{2}-\mathrm{W}_{2}$
4 $\mathrm{Q}_{1}+\mathrm{W}_{1}=\mathrm{Q}_{2}+\mathrm{W}_{2}$
Thermodynamics

148348 Match the following
| List - I | List - II |
| :--- | :--- |
| (i) Isothermal process | (a) 0 |
| (ii) Isobaric process | (b) $\frac{1}{\gamma-1}\left[\mathrm{P}_2 \mathrm{~V}_2-\mathrm{P}_1 \mathrm{~V}_1\right]$ |
| (iii) Isochoric process | (c) $\mu \mathrm{RT} \ln \left(\frac{\mathrm{V}_2}{\mathrm{~V}_1}\right)$ |
| (iv) Adiabadic process | (d) $\mathrm{P}\left(\mathrm{V}_2-\mathrm{V}_1\right)$ |

1 i-c, ii-d, iii-a, iv-b
2 i-a, ii-d, iii-b, iv-c
3 i-c, ii-b, iii-d, iv-a
4 i-b, ii-c, iii-a, iv-d
Thermodynamics

148345 An ideal gas is subjected to a cyclic process $A B C D$ as depicted in the $p-V$ diagram given below

Which of the following curves represents the equivalent cyclic process?

1
2
3
4
Thermodynamics

148349 An ideal monoatomic gas is confined in a cylinder by a spring-loaded piston of area of cross-section $8 \times 10^{-3} \mathrm{~m}^{2}$. Initially the gas is at $300 \mathrm{~K}$ and occupies as volume of $2.4 \times 10^{-3} \mathrm{~m}^{3}$ and the spring is in its relaxed state as shown in the figure. The gas is heated by a small electric heater until the piston moves out slowly by $0.1 \mathrm{~m}$. The final temperature of the gas is
(The force constant of the spring $=8000 \mathrm{Nm}^{-1}$ Atmospheric pressure $=1 \times 10^{5} \mathrm{Nm}^{-2}$
The piston is massless and there is no friction between the piston and cylinder)

1 $800 \mathrm{~K}$
2 $400 \mathrm{~K}$
3 $600 \mathrm{~K}$
4 $300 \mathrm{~K}$