02. Thermodynamics Process
Thermodynamics

148301 The figure below shows the plot of $\frac{P V}{n T}$ versus $P$ for oxygen gas at two different temperatures

Read the following statements concerning the above curves :
(i) The dotted line corresponds to the ideal gas behaviour.
(ii) $\mathrm{T}_{1}>\mathrm{T}_{2}$
(iii) The value of $\mathrm{PV} / \mathrm{nT}$ at the point where the curves meet on the $y$-axis is the same for all gases.
Which of the above statements is true ?

1 (i) only
2 (i) and (ii) only
3 All of these
4 None of these
Thermodynamics

148302 The following figure represents the temperature versus time plot for a given amount of a substance when heat energy is supplied to it at a fixed rate and at constant pressure.

Which parts of the above plot represent a phase change ?

1 a to $\mathrm{b}$ and e to $f$
2 b to $\mathrm{c}$ and $\mathrm{c}$ to $\mathrm{d}$
3 $\mathrm{d}$ to e and e to $f$
4 $b$ to $c$ and d to e
Thermodynamics

148303 The work done, $W$ during an isothermal process in which 1 mole of the gas expands from an initial volume $V_{1}$ to a final volume $V_{2}$ is given by: $(R=$ gas constant, $T=$ temperature $)$

1 $\mathrm{R}\left(\mathrm{V}_{2}-\mathrm{V}_{1}\right) \log \left(\frac{\mathrm{T}_{1}}{\mathrm{~T}_{2}}\right)$
2 $\mathrm{R}\left(\mathrm{T}_{2}-\mathrm{T}_{1}\right) \log _{\mathrm{e}}\left(\frac{\mathrm{V}_{2}}{\mathrm{~V}_{1}}\right)$
3 $\mathrm{RT} \log _{\mathrm{e}}\left(\frac{\mathrm{V}_{2}}{\mathrm{~V}_{1}}\right)$
4 $2 \mathrm{RT} \log _{\mathrm{e}}\left(\frac{\mathrm{V}_{1}}{\mathrm{~V}_{2}}\right)$
Thermodynamics

148305 The pressure and density of a diatomic gas $\left(\gamma=\frac{7}{5}\right)$ change adiabatically from $(P, d)$ to $\left(P^{\prime} d^{\prime}\right)$. If $\frac{d^{\prime}}{d}=32$, then $\frac{P^{\prime}}{P}$ should be :

1 $\frac{1}{128}$
2 32
3 128
4 none of these
Thermodynamics

148306 A gas at NTP is suddenly compressed to onefourth of its original volume. If $\gamma$ is supposed to be $3 / 2$, then the final pressure is :

1 $4 \mathrm{~atm}$
2 $\frac{3}{2} \mathrm{~atm}$
3 $8 \mathrm{~atm}$
4 $\frac{1}{4} \mathrm{~atm}$
Thermodynamics

148301 The figure below shows the plot of $\frac{P V}{n T}$ versus $P$ for oxygen gas at two different temperatures

Read the following statements concerning the above curves :
(i) The dotted line corresponds to the ideal gas behaviour.
(ii) $\mathrm{T}_{1}>\mathrm{T}_{2}$
(iii) The value of $\mathrm{PV} / \mathrm{nT}$ at the point where the curves meet on the $y$-axis is the same for all gases.
Which of the above statements is true ?

1 (i) only
2 (i) and (ii) only
3 All of these
4 None of these
Thermodynamics

148302 The following figure represents the temperature versus time plot for a given amount of a substance when heat energy is supplied to it at a fixed rate and at constant pressure.

Which parts of the above plot represent a phase change ?

1 a to $\mathrm{b}$ and e to $f$
2 b to $\mathrm{c}$ and $\mathrm{c}$ to $\mathrm{d}$
3 $\mathrm{d}$ to e and e to $f$
4 $b$ to $c$ and d to e
Thermodynamics

148303 The work done, $W$ during an isothermal process in which 1 mole of the gas expands from an initial volume $V_{1}$ to a final volume $V_{2}$ is given by: $(R=$ gas constant, $T=$ temperature $)$

1 $\mathrm{R}\left(\mathrm{V}_{2}-\mathrm{V}_{1}\right) \log \left(\frac{\mathrm{T}_{1}}{\mathrm{~T}_{2}}\right)$
2 $\mathrm{R}\left(\mathrm{T}_{2}-\mathrm{T}_{1}\right) \log _{\mathrm{e}}\left(\frac{\mathrm{V}_{2}}{\mathrm{~V}_{1}}\right)$
3 $\mathrm{RT} \log _{\mathrm{e}}\left(\frac{\mathrm{V}_{2}}{\mathrm{~V}_{1}}\right)$
4 $2 \mathrm{RT} \log _{\mathrm{e}}\left(\frac{\mathrm{V}_{1}}{\mathrm{~V}_{2}}\right)$
Thermodynamics

148305 The pressure and density of a diatomic gas $\left(\gamma=\frac{7}{5}\right)$ change adiabatically from $(P, d)$ to $\left(P^{\prime} d^{\prime}\right)$. If $\frac{d^{\prime}}{d}=32$, then $\frac{P^{\prime}}{P}$ should be :

1 $\frac{1}{128}$
2 32
3 128
4 none of these
Thermodynamics

148306 A gas at NTP is suddenly compressed to onefourth of its original volume. If $\gamma$ is supposed to be $3 / 2$, then the final pressure is :

1 $4 \mathrm{~atm}$
2 $\frac{3}{2} \mathrm{~atm}$
3 $8 \mathrm{~atm}$
4 $\frac{1}{4} \mathrm{~atm}$
Thermodynamics

148301 The figure below shows the plot of $\frac{P V}{n T}$ versus $P$ for oxygen gas at two different temperatures

Read the following statements concerning the above curves :
(i) The dotted line corresponds to the ideal gas behaviour.
(ii) $\mathrm{T}_{1}>\mathrm{T}_{2}$
(iii) The value of $\mathrm{PV} / \mathrm{nT}$ at the point where the curves meet on the $y$-axis is the same for all gases.
Which of the above statements is true ?

1 (i) only
2 (i) and (ii) only
3 All of these
4 None of these
Thermodynamics

148302 The following figure represents the temperature versus time plot for a given amount of a substance when heat energy is supplied to it at a fixed rate and at constant pressure.

Which parts of the above plot represent a phase change ?

1 a to $\mathrm{b}$ and e to $f$
2 b to $\mathrm{c}$ and $\mathrm{c}$ to $\mathrm{d}$
3 $\mathrm{d}$ to e and e to $f$
4 $b$ to $c$ and d to e
Thermodynamics

148303 The work done, $W$ during an isothermal process in which 1 mole of the gas expands from an initial volume $V_{1}$ to a final volume $V_{2}$ is given by: $(R=$ gas constant, $T=$ temperature $)$

1 $\mathrm{R}\left(\mathrm{V}_{2}-\mathrm{V}_{1}\right) \log \left(\frac{\mathrm{T}_{1}}{\mathrm{~T}_{2}}\right)$
2 $\mathrm{R}\left(\mathrm{T}_{2}-\mathrm{T}_{1}\right) \log _{\mathrm{e}}\left(\frac{\mathrm{V}_{2}}{\mathrm{~V}_{1}}\right)$
3 $\mathrm{RT} \log _{\mathrm{e}}\left(\frac{\mathrm{V}_{2}}{\mathrm{~V}_{1}}\right)$
4 $2 \mathrm{RT} \log _{\mathrm{e}}\left(\frac{\mathrm{V}_{1}}{\mathrm{~V}_{2}}\right)$
Thermodynamics

148305 The pressure and density of a diatomic gas $\left(\gamma=\frac{7}{5}\right)$ change adiabatically from $(P, d)$ to $\left(P^{\prime} d^{\prime}\right)$. If $\frac{d^{\prime}}{d}=32$, then $\frac{P^{\prime}}{P}$ should be :

1 $\frac{1}{128}$
2 32
3 128
4 none of these
Thermodynamics

148306 A gas at NTP is suddenly compressed to onefourth of its original volume. If $\gamma$ is supposed to be $3 / 2$, then the final pressure is :

1 $4 \mathrm{~atm}$
2 $\frac{3}{2} \mathrm{~atm}$
3 $8 \mathrm{~atm}$
4 $\frac{1}{4} \mathrm{~atm}$
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Thermodynamics

148301 The figure below shows the plot of $\frac{P V}{n T}$ versus $P$ for oxygen gas at two different temperatures

Read the following statements concerning the above curves :
(i) The dotted line corresponds to the ideal gas behaviour.
(ii) $\mathrm{T}_{1}>\mathrm{T}_{2}$
(iii) The value of $\mathrm{PV} / \mathrm{nT}$ at the point where the curves meet on the $y$-axis is the same for all gases.
Which of the above statements is true ?

1 (i) only
2 (i) and (ii) only
3 All of these
4 None of these
Thermodynamics

148302 The following figure represents the temperature versus time plot for a given amount of a substance when heat energy is supplied to it at a fixed rate and at constant pressure.

Which parts of the above plot represent a phase change ?

1 a to $\mathrm{b}$ and e to $f$
2 b to $\mathrm{c}$ and $\mathrm{c}$ to $\mathrm{d}$
3 $\mathrm{d}$ to e and e to $f$
4 $b$ to $c$ and d to e
Thermodynamics

148303 The work done, $W$ during an isothermal process in which 1 mole of the gas expands from an initial volume $V_{1}$ to a final volume $V_{2}$ is given by: $(R=$ gas constant, $T=$ temperature $)$

1 $\mathrm{R}\left(\mathrm{V}_{2}-\mathrm{V}_{1}\right) \log \left(\frac{\mathrm{T}_{1}}{\mathrm{~T}_{2}}\right)$
2 $\mathrm{R}\left(\mathrm{T}_{2}-\mathrm{T}_{1}\right) \log _{\mathrm{e}}\left(\frac{\mathrm{V}_{2}}{\mathrm{~V}_{1}}\right)$
3 $\mathrm{RT} \log _{\mathrm{e}}\left(\frac{\mathrm{V}_{2}}{\mathrm{~V}_{1}}\right)$
4 $2 \mathrm{RT} \log _{\mathrm{e}}\left(\frac{\mathrm{V}_{1}}{\mathrm{~V}_{2}}\right)$
Thermodynamics

148305 The pressure and density of a diatomic gas $\left(\gamma=\frac{7}{5}\right)$ change adiabatically from $(P, d)$ to $\left(P^{\prime} d^{\prime}\right)$. If $\frac{d^{\prime}}{d}=32$, then $\frac{P^{\prime}}{P}$ should be :

1 $\frac{1}{128}$
2 32
3 128
4 none of these
Thermodynamics

148306 A gas at NTP is suddenly compressed to onefourth of its original volume. If $\gamma$ is supposed to be $3 / 2$, then the final pressure is :

1 $4 \mathrm{~atm}$
2 $\frac{3}{2} \mathrm{~atm}$
3 $8 \mathrm{~atm}$
4 $\frac{1}{4} \mathrm{~atm}$
Thermodynamics

148301 The figure below shows the plot of $\frac{P V}{n T}$ versus $P$ for oxygen gas at two different temperatures

Read the following statements concerning the above curves :
(i) The dotted line corresponds to the ideal gas behaviour.
(ii) $\mathrm{T}_{1}>\mathrm{T}_{2}$
(iii) The value of $\mathrm{PV} / \mathrm{nT}$ at the point where the curves meet on the $y$-axis is the same for all gases.
Which of the above statements is true ?

1 (i) only
2 (i) and (ii) only
3 All of these
4 None of these
Thermodynamics

148302 The following figure represents the temperature versus time plot for a given amount of a substance when heat energy is supplied to it at a fixed rate and at constant pressure.

Which parts of the above plot represent a phase change ?

1 a to $\mathrm{b}$ and e to $f$
2 b to $\mathrm{c}$ and $\mathrm{c}$ to $\mathrm{d}$
3 $\mathrm{d}$ to e and e to $f$
4 $b$ to $c$ and d to e
Thermodynamics

148303 The work done, $W$ during an isothermal process in which 1 mole of the gas expands from an initial volume $V_{1}$ to a final volume $V_{2}$ is given by: $(R=$ gas constant, $T=$ temperature $)$

1 $\mathrm{R}\left(\mathrm{V}_{2}-\mathrm{V}_{1}\right) \log \left(\frac{\mathrm{T}_{1}}{\mathrm{~T}_{2}}\right)$
2 $\mathrm{R}\left(\mathrm{T}_{2}-\mathrm{T}_{1}\right) \log _{\mathrm{e}}\left(\frac{\mathrm{V}_{2}}{\mathrm{~V}_{1}}\right)$
3 $\mathrm{RT} \log _{\mathrm{e}}\left(\frac{\mathrm{V}_{2}}{\mathrm{~V}_{1}}\right)$
4 $2 \mathrm{RT} \log _{\mathrm{e}}\left(\frac{\mathrm{V}_{1}}{\mathrm{~V}_{2}}\right)$
Thermodynamics

148305 The pressure and density of a diatomic gas $\left(\gamma=\frac{7}{5}\right)$ change adiabatically from $(P, d)$ to $\left(P^{\prime} d^{\prime}\right)$. If $\frac{d^{\prime}}{d}=32$, then $\frac{P^{\prime}}{P}$ should be :

1 $\frac{1}{128}$
2 32
3 128
4 none of these
Thermodynamics

148306 A gas at NTP is suddenly compressed to onefourth of its original volume. If $\gamma$ is supposed to be $3 / 2$, then the final pressure is :

1 $4 \mathrm{~atm}$
2 $\frac{3}{2} \mathrm{~atm}$
3 $8 \mathrm{~atm}$
4 $\frac{1}{4} \mathrm{~atm}$