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Thermodynamic Processes

In a given pr...

Question

In a given process, $$15 J $o f h e a t i s a d d e d t o a n i d e a l g a s a n d t h e g a s d o e s$ 7 J$ of work. Which of the following is true about the internal energy of the gas during this process?

It has increased by

22 J

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It has increased by

8 J

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It has not changed.

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It has decreased by

8 J

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It has decreased by

22 J

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Solution

The correct option is B It has increased by $8 J$
As the heat is added to the system, thus $Q = + 15 J$
Work is done by the gas, thus $W = + 7 J$
From 1st law of thermodynamics : $Q = Δ U + W$
$∴$ $15 = Δ U + 7$ $⟹ Δ U = + 8 J$
Thus internal energy of the gas is increased by $8 J$

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