In the free expansion of an Ideal gas, its internal energy

remains constant

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increases

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decreases

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sometimes increases , sometimes decreases

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Solution

The correct option is A remains constant
In free expansion , air is expanded against vacuum. Therefore work done is zero. Also the supplied heat is zero.

dQ = 0, dW = 0

Therefore by $F i r s t L a w o f T h e r m o d y n a m i c s$ , $d Q = d U + d W$ change in internal energy is also zero.

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U

U

30 K

2.50 k P a

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3.00 m^{3}

12.5 k J

	Column I		Column II
a.	Temperature of a system always decreases	p.	$C H_{2} = C H - C H = C H_{2}$
b.	${(\begin{matrix} \frac{\partial U}{\partial V} \end{matrix})}_{T} = 0$	q.	Internal energy increases
c.	Temperature of the system increases	r.	Ideal gas
d.	$Δ H_{h y d r o g e n a t i o n (e x p e r i m e n t a l)}$ $< Δ H_{h y d r o g e n a t i o n (c a l c u l a t e d)}$	s.	Adiabatic expansion

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