Match the thermodynamic processes taking place in a system with the correct conditions. In the table: Q is the heat supplied, W is the work done and U is change in internal energy of the system.

Question

Match the thermodynamic processes taking place in a system with the correct conditions. In the table: $Δ Q$ is the heat supplied, $Δ W$ is the work done and $Δ U$ is change in internal energy of the system.

	Process		Condition
I)	Adiabatic	A)	$Δ W = 0$
II)	Isothermal	B)	$Δ Q = 0$
III)	Isochoric	C)	$Δ U \neq 0, Δ W \neq 0, Δ Q \neq 0$
IV)	Isobaric	D)	$Δ U = 0$

Smart Achievers · Accepted Answer

(4)

I) Adiabatic process : No exchange of heat takes place with surroundings. $\Rightarrow Δ Q = 0$

II) Isothermal process : Temperature remains constant

$∴$ $Δ T = 0 \Rightarrow Δ U = \frac{f}{2} n R Δ T \Rightarrow Δ U = 0$

No change in internal energy $[Δ U = 0] .$

III) Isochoric process volume remains constant

$Δ V = 0 \Rightarrow W = \int P d V = 0$

Hence work done is zero.

IV) In isobaric process pressure remains constant

$Δ U = \frac{f}{2} n R Δ T = \frac{f}{2} [P Δ V] \neq 0$

$∴$ $Δ Q = n C_{p} Δ T \neq 0$

Solution

1 (I)-(A), (II)-(B), (III)-(D), (IV)-(D)

2 (I)-(B), (II)-(A), (III)-(D), (IV)-(C)

3 (I)-(A), (II)-(A), (III)-(B), (IV)-(C)

4 (I)-(B), (II)-(D), (III)-(A), (IV)-(C)

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