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Thermodynamics

148453 A graph of pressure versus volume for an ideal gas for different processes is as shown. In the graph curve $OC$ represents :

1 isochoric process

2 isothermal process

3 isobaric process

4 adiabatic process

Explanation:

D
Isochoric Process- It is a thermodynamic process in a system, during which the volume remains constant is called the isochoric process.
$Δ V = 0$
Isobaric Process- The thermodynamic process in a system during which the pressure remains Constant
$Δ P = 0$
Adiabatic Process- The thermodynamic process in a system during which no heat or mass transfer occurs between thermodynamic system is called an adiabatic process.
- Curve OA, $P =$ constant, means Isobaric process.
- Curve OD, $V =$ constant, means isochoric process.
- Curve OB represents isothermal process.
- Curve OC represent adiabatic process.

Karnataka CET-2009

Thermodynamics

148446 Assertion: Air quickly leaking out of a balloon becomes cooler.
Reason: The leaking air undergoes adiabatic expansion.

1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.

2 If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.

3 If the Assertion is correct but Reason is incorrect.

4 If both the Assertion and Reason are incorrect.

5 If the Assertion is incorrect but the Reason is correct.

AIIMS-2005

Thermodynamics

148447 Assertion: When a bottle of cold carbonated drink is opened, a slight fog forms around the opening.
Reason: Adiabatic expansion of the gas causes lowering of temperature and condensation of water vapours.

1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.

2 If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.

3 If the Assertion is correct but Reason is incorrect.

4 If both the Assertion and Reason are incorrect.

5 If the Assertion is incorrect but the Reason is correct.

AIIMS-2003

Thermodynamics

148454 An ideal monoatomic gas at $27^{\circ} C$ is compressed adiabatically to $\frac{8}{27}$ times of its present volume. The increase in temperature of the gas is :

1

375^{\circ} C

2

402^{\circ} C

3

175^{\circ} C

4

475^{\circ} C

Explanation:

A As we know that for adiabatic process
${PV}^{γ} = Constant$
${TV}^{γ - 1} = Constant$
For monoatomic gas $γ = \frac{5}{3}$
$T_{1} = 27^{\circ} C = 27 + 273 = 300 K$
Using ${TV}^{γ - 1} =$ Constant
$T_{1} V_{1}^{γ - 1} = T_{2} V_{2}^{γ - 1}$
$\frac{T_{2}}{T_{1}} = {(\frac{V_{1}}{V_{2}})}^{γ - 1}$
$T_{2} = {(\frac{27}{8})}^{2 / 3} \times T_{1}$
$T_{2} = {(\frac{3}{2})}^{2} \times 300$
$T_{2} = 675 - 273 = 402^{\circ} C$
$Δ T = T_{2} - T_{1}$
$= 402^{\circ} C - 27^{\circ} C$
$Δ T = 375^{\circ} C$
Where $Δ T$ is the increase in temperature of the gas.

Karnataka CET-2003

Thermodynamics

148453 A graph of pressure versus volume for an ideal gas for different processes is as shown. In the graph curve $OC$ represents :

1 isochoric process

2 isothermal process

3 isobaric process

4 adiabatic process

Explanation:

D
Isochoric Process- It is a thermodynamic process in a system, during which the volume remains constant is called the isochoric process.
$Δ V = 0$
Isobaric Process- The thermodynamic process in a system during which the pressure remains Constant
$Δ P = 0$
Adiabatic Process- The thermodynamic process in a system during which no heat or mass transfer occurs between thermodynamic system is called an adiabatic process.
- Curve OA, $P =$ constant, means Isobaric process.
- Curve OD, $V =$ constant, means isochoric process.
- Curve OB represents isothermal process.
- Curve OC represent adiabatic process.

Karnataka CET-2009

Thermodynamics

148446 Assertion: Air quickly leaking out of a balloon becomes cooler.
Reason: The leaking air undergoes adiabatic expansion.

1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.

2 If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.

3 If the Assertion is correct but Reason is incorrect.

4 If both the Assertion and Reason are incorrect.

5 If the Assertion is incorrect but the Reason is correct.

AIIMS-2005

Thermodynamics

148447 Assertion: When a bottle of cold carbonated drink is opened, a slight fog forms around the opening.
Reason: Adiabatic expansion of the gas causes lowering of temperature and condensation of water vapours.

1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.

2 If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.

3 If the Assertion is correct but Reason is incorrect.

4 If both the Assertion and Reason are incorrect.

5 If the Assertion is incorrect but the Reason is correct.

AIIMS-2003

Thermodynamics

148454 An ideal monoatomic gas at $27^{\circ} C$ is compressed adiabatically to $\frac{8}{27}$ times of its present volume. The increase in temperature of the gas is :

1

375^{\circ} C

2

402^{\circ} C

3

175^{\circ} C

4

475^{\circ} C

Explanation:

A As we know that for adiabatic process
${PV}^{γ} = Constant$
${TV}^{γ - 1} = Constant$
For monoatomic gas $γ = \frac{5}{3}$
$T_{1} = 27^{\circ} C = 27 + 273 = 300 K$
Using ${TV}^{γ - 1} =$ Constant
$T_{1} V_{1}^{γ - 1} = T_{2} V_{2}^{γ - 1}$
$\frac{T_{2}}{T_{1}} = {(\frac{V_{1}}{V_{2}})}^{γ - 1}$
$T_{2} = {(\frac{27}{8})}^{2 / 3} \times T_{1}$
$T_{2} = {(\frac{3}{2})}^{2} \times 300$
$T_{2} = 675 - 273 = 402^{\circ} C$
$Δ T = T_{2} - T_{1}$
$= 402^{\circ} C - 27^{\circ} C$
$Δ T = 375^{\circ} C$
Where $Δ T$ is the increase in temperature of the gas.

Karnataka CET-2003

Thermodynamics

148453 A graph of pressure versus volume for an ideal gas for different processes is as shown. In the graph curve $OC$ represents :

1 isochoric process

2 isothermal process

3 isobaric process

4 adiabatic process

Explanation:

D
Isochoric Process- It is a thermodynamic process in a system, during which the volume remains constant is called the isochoric process.
$Δ V = 0$
Isobaric Process- The thermodynamic process in a system during which the pressure remains Constant
$Δ P = 0$
Adiabatic Process- The thermodynamic process in a system during which no heat or mass transfer occurs between thermodynamic system is called an adiabatic process.
- Curve OA, $P =$ constant, means Isobaric process.
- Curve OD, $V =$ constant, means isochoric process.
- Curve OB represents isothermal process.
- Curve OC represent adiabatic process.

Karnataka CET-2009

Thermodynamics

148446 Assertion: Air quickly leaking out of a balloon becomes cooler.
Reason: The leaking air undergoes adiabatic expansion.

1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.

2 If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.

3 If the Assertion is correct but Reason is incorrect.

4 If both the Assertion and Reason are incorrect.

5 If the Assertion is incorrect but the Reason is correct.

AIIMS-2005

Thermodynamics

148447 Assertion: When a bottle of cold carbonated drink is opened, a slight fog forms around the opening.
Reason: Adiabatic expansion of the gas causes lowering of temperature and condensation of water vapours.

1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.

2 If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.

3 If the Assertion is correct but Reason is incorrect.

4 If both the Assertion and Reason are incorrect.

5 If the Assertion is incorrect but the Reason is correct.

AIIMS-2003

Thermodynamics

148454 An ideal monoatomic gas at $27^{\circ} C$ is compressed adiabatically to $\frac{8}{27}$ times of its present volume. The increase in temperature of the gas is :

1

375^{\circ} C

2

402^{\circ} C

3

175^{\circ} C

4

475^{\circ} C

Explanation:

A As we know that for adiabatic process
${PV}^{γ} = Constant$
${TV}^{γ - 1} = Constant$
For monoatomic gas $γ = \frac{5}{3}$
$T_{1} = 27^{\circ} C = 27 + 273 = 300 K$
Using ${TV}^{γ - 1} =$ Constant
$T_{1} V_{1}^{γ - 1} = T_{2} V_{2}^{γ - 1}$
$\frac{T_{2}}{T_{1}} = {(\frac{V_{1}}{V_{2}})}^{γ - 1}$
$T_{2} = {(\frac{27}{8})}^{2 / 3} \times T_{1}$
$T_{2} = {(\frac{3}{2})}^{2} \times 300$
$T_{2} = 675 - 273 = 402^{\circ} C$
$Δ T = T_{2} - T_{1}$
$= 402^{\circ} C - 27^{\circ} C$
$Δ T = 375^{\circ} C$
Where $Δ T$ is the increase in temperature of the gas.

Karnataka CET-2003

Thermodynamics

148453 A graph of pressure versus volume for an ideal gas for different processes is as shown. In the graph curve $OC$ represents :

1 isochoric process

2 isothermal process

3 isobaric process

4 adiabatic process

Explanation:

D
Isochoric Process- It is a thermodynamic process in a system, during which the volume remains constant is called the isochoric process.
$Δ V = 0$
Isobaric Process- The thermodynamic process in a system during which the pressure remains Constant
$Δ P = 0$
Adiabatic Process- The thermodynamic process in a system during which no heat or mass transfer occurs between thermodynamic system is called an adiabatic process.
- Curve OA, $P =$ constant, means Isobaric process.
- Curve OD, $V =$ constant, means isochoric process.
- Curve OB represents isothermal process.
- Curve OC represent adiabatic process.

Karnataka CET-2009

Thermodynamics

148446 Assertion: Air quickly leaking out of a balloon becomes cooler.
Reason: The leaking air undergoes adiabatic expansion.

1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.

2 If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.

3 If the Assertion is correct but Reason is incorrect.

4 If both the Assertion and Reason are incorrect.

5 If the Assertion is incorrect but the Reason is correct.

AIIMS-2005

Thermodynamics

148447 Assertion: When a bottle of cold carbonated drink is opened, a slight fog forms around the opening.
Reason: Adiabatic expansion of the gas causes lowering of temperature and condensation of water vapours.

1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.

2 If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.

3 If the Assertion is correct but Reason is incorrect.

4 If both the Assertion and Reason are incorrect.

5 If the Assertion is incorrect but the Reason is correct.

AIIMS-2003

Thermodynamics

148454 An ideal monoatomic gas at $27^{\circ} C$ is compressed adiabatically to $\frac{8}{27}$ times of its present volume. The increase in temperature of the gas is :

1

375^{\circ} C

2

402^{\circ} C

3

175^{\circ} C

4

475^{\circ} C

Explanation:

A As we know that for adiabatic process
${PV}^{γ} = Constant$
${TV}^{γ - 1} = Constant$
For monoatomic gas $γ = \frac{5}{3}$
$T_{1} = 27^{\circ} C = 27 + 273 = 300 K$
Using ${TV}^{γ - 1} =$ Constant
$T_{1} V_{1}^{γ - 1} = T_{2} V_{2}^{γ - 1}$
$\frac{T_{2}}{T_{1}} = {(\frac{V_{1}}{V_{2}})}^{γ - 1}$
$T_{2} = {(\frac{27}{8})}^{2 / 3} \times T_{1}$
$T_{2} = {(\frac{3}{2})}^{2} \times 300$
$T_{2} = 675 - 273 = 402^{\circ} C$
$Δ T = T_{2} - T_{1}$
$= 402^{\circ} C - 27^{\circ} C$
$Δ T = 375^{\circ} C$
Where $Δ T$ is the increase in temperature of the gas.

Karnataka CET-2003