\(\dfrac{\text { Slope of adiabatic curve }}{\text { Slope of isothermal curve }}=\dfrac{(d P / d V)_{\text {adi }}}{(d P / d V)_{\text {iso }}}=+\gamma\) So slope to adiabatic curve is \(\gamma\left(=\dfrac{C_{P}}{C_{V}}\right)\) times of isothermal curve
PHXI12:THERMODYNAMICS
371493
A gas is compressed from a volume of \(2 m^{3}\) to a volume of \(1\;{m^3}\) at a constant pressure of \(100\;N/{m^2}\). Then it is heated at constant volume by supplying \(150\;J\) of energy. As a result, the internal energy of the gas:
1 Increases by \(250\;J\)
2 Decreases by \(250\;J\)
3 Increases by \(50\;J\)
4 Decreases by \(50\;J\)
Explanation:
From \(1^{s t}\) law of thermodynamics \(\Delta Q=\Delta U+W \Rightarrow \Delta Q=\Delta U+P \Delta V\) \(150=\Delta U+100(1-2)\) \(\therefore \Delta U=150+100=250 J\) Thus the internal energy of the gas increases by \(250\;J\)
JEE - 2014
PHXI12:THERMODYNAMICS
371494
In thermodynamic processes which of the following statements is not true?
1 In an adiabatic processes the system is insulated from the surroundings
2 In an isochoric process pressure remains constant
3 In an isothermal process the temperature remains constant
4 In an adiabatic process \(p V^{\gamma}=\) constant
Explanation:
For an adiabatic process there should not be any exchange of heat between the system and its surroundings all walls of the container must be perfectly insulated. In adiabatic process gases obey \(p V^{\gamma}=\) constant. In an isochoric process volume remains constant and for isobaric process pressure remains constant.
\(\dfrac{\text { Slope of adiabatic curve }}{\text { Slope of isothermal curve }}=\dfrac{(d P / d V)_{\text {adi }}}{(d P / d V)_{\text {iso }}}=+\gamma\) So slope to adiabatic curve is \(\gamma\left(=\dfrac{C_{P}}{C_{V}}\right)\) times of isothermal curve
PHXI12:THERMODYNAMICS
371493
A gas is compressed from a volume of \(2 m^{3}\) to a volume of \(1\;{m^3}\) at a constant pressure of \(100\;N/{m^2}\). Then it is heated at constant volume by supplying \(150\;J\) of energy. As a result, the internal energy of the gas:
1 Increases by \(250\;J\)
2 Decreases by \(250\;J\)
3 Increases by \(50\;J\)
4 Decreases by \(50\;J\)
Explanation:
From \(1^{s t}\) law of thermodynamics \(\Delta Q=\Delta U+W \Rightarrow \Delta Q=\Delta U+P \Delta V\) \(150=\Delta U+100(1-2)\) \(\therefore \Delta U=150+100=250 J\) Thus the internal energy of the gas increases by \(250\;J\)
JEE - 2014
PHXI12:THERMODYNAMICS
371494
In thermodynamic processes which of the following statements is not true?
1 In an adiabatic processes the system is insulated from the surroundings
2 In an isochoric process pressure remains constant
3 In an isothermal process the temperature remains constant
4 In an adiabatic process \(p V^{\gamma}=\) constant
Explanation:
For an adiabatic process there should not be any exchange of heat between the system and its surroundings all walls of the container must be perfectly insulated. In adiabatic process gases obey \(p V^{\gamma}=\) constant. In an isochoric process volume remains constant and for isobaric process pressure remains constant.
\(\dfrac{\text { Slope of adiabatic curve }}{\text { Slope of isothermal curve }}=\dfrac{(d P / d V)_{\text {adi }}}{(d P / d V)_{\text {iso }}}=+\gamma\) So slope to adiabatic curve is \(\gamma\left(=\dfrac{C_{P}}{C_{V}}\right)\) times of isothermal curve
PHXI12:THERMODYNAMICS
371493
A gas is compressed from a volume of \(2 m^{3}\) to a volume of \(1\;{m^3}\) at a constant pressure of \(100\;N/{m^2}\). Then it is heated at constant volume by supplying \(150\;J\) of energy. As a result, the internal energy of the gas:
1 Increases by \(250\;J\)
2 Decreases by \(250\;J\)
3 Increases by \(50\;J\)
4 Decreases by \(50\;J\)
Explanation:
From \(1^{s t}\) law of thermodynamics \(\Delta Q=\Delta U+W \Rightarrow \Delta Q=\Delta U+P \Delta V\) \(150=\Delta U+100(1-2)\) \(\therefore \Delta U=150+100=250 J\) Thus the internal energy of the gas increases by \(250\;J\)
JEE - 2014
PHXI12:THERMODYNAMICS
371494
In thermodynamic processes which of the following statements is not true?
1 In an adiabatic processes the system is insulated from the surroundings
2 In an isochoric process pressure remains constant
3 In an isothermal process the temperature remains constant
4 In an adiabatic process \(p V^{\gamma}=\) constant
Explanation:
For an adiabatic process there should not be any exchange of heat between the system and its surroundings all walls of the container must be perfectly insulated. In adiabatic process gases obey \(p V^{\gamma}=\) constant. In an isochoric process volume remains constant and for isobaric process pressure remains constant.
\(\dfrac{\text { Slope of adiabatic curve }}{\text { Slope of isothermal curve }}=\dfrac{(d P / d V)_{\text {adi }}}{(d P / d V)_{\text {iso }}}=+\gamma\) So slope to adiabatic curve is \(\gamma\left(=\dfrac{C_{P}}{C_{V}}\right)\) times of isothermal curve
PHXI12:THERMODYNAMICS
371493
A gas is compressed from a volume of \(2 m^{3}\) to a volume of \(1\;{m^3}\) at a constant pressure of \(100\;N/{m^2}\). Then it is heated at constant volume by supplying \(150\;J\) of energy. As a result, the internal energy of the gas:
1 Increases by \(250\;J\)
2 Decreases by \(250\;J\)
3 Increases by \(50\;J\)
4 Decreases by \(50\;J\)
Explanation:
From \(1^{s t}\) law of thermodynamics \(\Delta Q=\Delta U+W \Rightarrow \Delta Q=\Delta U+P \Delta V\) \(150=\Delta U+100(1-2)\) \(\therefore \Delta U=150+100=250 J\) Thus the internal energy of the gas increases by \(250\;J\)
JEE - 2014
PHXI12:THERMODYNAMICS
371494
In thermodynamic processes which of the following statements is not true?
1 In an adiabatic processes the system is insulated from the surroundings
2 In an isochoric process pressure remains constant
3 In an isothermal process the temperature remains constant
4 In an adiabatic process \(p V^{\gamma}=\) constant
Explanation:
For an adiabatic process there should not be any exchange of heat between the system and its surroundings all walls of the container must be perfectly insulated. In adiabatic process gases obey \(p V^{\gamma}=\) constant. In an isochoric process volume remains constant and for isobaric process pressure remains constant.
