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One mole of an ideal diatomic gas undergoes a transition from

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One mole of an ideal diatomic gas undergoes a transition from A to B along a path AB as shown in the figure, The change in internal energy of the gas during the transition is:

20 J

- 12 k J

20 k J

- 20 k J

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One mole of an ideal diatomic gas undergoes a transition from A to B along a path AB as shown in the figure, The change in internal energy of the gas during the transition is:

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Text solutionVerified

Δ U = n C_{v} d T

whene

n

is no. of moles,

C_{v}

is heat capacity at constant volume and

d T

is temperature change
for diatomic gas

C_{v} = \frac{3}{2} R

from ideal gas equation

T_{1} = \frac{P _{1} V _{1}}{R}

and

T_{2} = \frac{P _{2} V _{2}}{R}

Δ U = C_{v} (T_{2} - T_{1})

Δ U = \frac{3}{2} R (\frac{P _{2} V _{2}}{R} - \frac{P _{1} V _{1}}{R})

Δ U = \frac{3}{2} (P_{2} V_{2} - P_{1} V_{1}) = - 12 k J

hence correct answer is option B

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Question Text	One mole of an ideal diatomic gas undergoes a transition from A to B along a path AB as shown in the figure, The change in internal energy of the gas during the transition is:
Answer Type	Text solution:1
Upvotes	150

One mole of an ideal diatomic gas undergoes a transition from A to B along a path AB as shown in the figure, The change in internal energy of the gas during the transition is:

Text solutionVerified

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