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First Law of Thermodynamics

The internal ...

Question

The internal energy of gas at A is 10 J, and amount of heat supplied to change its state to C through the path AC is 200 J. Calculate the internal energy at C.

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Solution

According to the first law of thermodynamics
$d Q = d U + d W$
So for path AC
$(U_{C} - U_{A}) = d Q - d W = 200 - 40$
$U_{C} = 160 + U_{A}$
$U_{C} = 160 + 10$
$U_{C} = 170 J$

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