Question

During an adiabatic compression of 5 moles of a gas ,250 j of work was done .The change in the internal energy will be ...Answer

Answer 1

As per first law of thermodynamics

dQ=dW+dU

In adiabatic compression dQ=0

dW = - dU

dU=-250J

Answer 2

The change in the internal energy will be -250 J.

Explanation:

Use the first law of thermodynamics as,

$\Delta U=\Delta Q-\Delta W$

Here, $\Delta U$ is the change in internal energy,  $\Delta Q$ change in heat.

For adiabatic process, no heat supplied from outside that means change in heat supplied will be zero( $\Delta Q=0$)  .

Given   $\Delta W=250 J$.

substitute the values, in above equation we get

$\Delta U=0-250 J$

$\Delta U=-250J$

Thus, the change in the internal energy will be -250 J.

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