Reversible expansion of an ideal gas under isothermal and adiabatic conditions are as shown in the figure. Isothermal expansion Adiabatic expansion Which of the following options is not correct? [2019]

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Q.
Reversible expansion of an ideal gas under isothermal and adiabatic conditions are as shown in the figure.

$A B \to$ Isothermal expansion
$A C \to$ Adiabatic expansion
Which of the following options is not correct [2019]

1 $Δ S_{isothermal} > Δ S_{adiabatic}$

2 $T_{A} = T_{B}$

3 $W_{isothermal} > W_{adiabatic}$

4 $T_{C} > T_{A}$

Ans.
(4)

For an ideal gas, internal energy is a function of temperature. Final temperature i.e., $T_{C}$ for adiabatic process is less than its initial temperature i.e., $T_{A}$
$∴$ $T_{C} < T_{A}$

Solution

Q.
Reversible expansion of an ideal gas under isothermal and adiabatic conditions are as shown in the figure.

$A B \to$ Isothermal expansion
$A C \to$ Adiabatic expansion
Which of the following options is not correct [2019]

1 $Δ S_{isothermal} > Δ S_{adiabatic}$

2 $T_{A} = T_{B}$

3 $W_{isothermal} > W_{adiabatic}$

4 $T_{C} > T_{A}$

Ans.
(4)

For an ideal gas, internal energy is a function of temperature. Final temperature i.e., $T_{C}$ for adiabatic process is less than its initial temperature i.e., $T_{A}$
$∴$ $T_{C} < T_{A}$

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Solution

Q. Reversible expansion of an ideal gas under isothermal and adiabatic conditions are as shown in the figure. AB→ Isothermal expansion AC→ Adiabatic expansion Which of the following options is not correct [2019]

1 ΔSisothermal>ΔSadiabatic

2 TA=TB

3 Wisothermal>Wadiabatic

4 TC>TA

Ans. (4) For an ideal gas, internal energy is a function of temperature. Final temperature i.e., TC for adiabatic process is less than its initial temperature i.e., TA ∴ TC<TA

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Q.
Reversible expansion of an ideal gas under isothermal and adiabatic conditions are as shown in the figure.

$A B \to$ Isothermal expansion
$A C \to$ Adiabatic expansion
Which of the following options is not correct [2019]

1 $Δ S_{isothermal} > Δ S_{adiabatic}$

2 $T_{A} = T_{B}$

3 $W_{isothermal} > W_{adiabatic}$

4 $T_{C} > T_{A}$

Ans.
(4)

For an ideal gas, internal energy is a function of temperature. Final temperature i.e., $T_{C}$ for adiabatic process is less than its initial temperature i.e., $T_{A}$
$∴$ $T_{C} < T_{A}$