five hundred joules of heat are added to a closed system. the initial internal energy of the system is 87 j…
five hundred joules of heat are added to a closed system. the initial internal energy of the system is 87 j, and the final internal energy is 134 j. how much work is being done by the system? 221 j 279 j 366 j 453 j
Answer
Explanation:
Step1: Recall the first - law of thermodynamics
$\Delta U=Q - W$, where $\Delta U$ is the change in internal energy, $Q$ is the heat added to the system, and $W$ is the work done by the system.
Step2: Calculate the change in internal energy
$\Delta U=U_f - U_i$, with $U_i = 87\ J$ and $U_f=134\ J$. So, $\Delta U=134 - 87=47\ J$.
Step3: Rearrange the first - law formula to solve for work
From $\Delta U = Q - W$, we can get $W = Q-\Delta U$. Given $Q = 500\ J$ and $\Delta U = 47\ J$. $W=500 - 47=453\ J$.
Answer:
453 J