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Equipartition Theorem

A system has ...

Question

A system has internal energy equal to $E_{1}, 450 J$ of heat is taken out of it and $500 J$ of work done on it. The final energy of the system will be:

A

(E_{1} + 150)

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B

(E_{1} + 1050)

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C

(E_{1} - 150)

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D

None of these

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Solution

The correct option is D None of these
Work is done on the system,
$△ E = E_{2} - E_{1} = - Q + W$

$E_{2} - E_{1} = - 450 + 500 = 50 J$

$E_{2} = E_{1} + 50 J$

$∴$ The final energy of the system is $E_{1} + 50 J$ .

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