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Internal Energy

In a certain ...

Question

In a certain chemical process, a lab technician supplies $254 J$ of heat to a system. At the same time, $73 J$ of work are done on the system by its surroundings. What is the increase in the internal energy (in $J$ ) of the system ?

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Solution

1st law of thermodynamics states that:
$δ Q = Δ U + w$
It is given that:
$δ Q = 254 J$
$w = - 73 J$ because $73 J$ of work is done on the gas
i.e. $Δ U = 254 + 73 = 327 J$

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