When a system is taken from state $a$ to state $b$ along the path acb, as shown in the figure,$($Figure $1)75\mathrm{.}0J$ of heat flows into the system along path $ac,200\mathrm{.}0J$ of heat flows into the system along path $cb,$ and $175\mathrm{.}0J$ of work is done by the system. When the same system is taken from state $a$ to state $b$ along the path adb, the change in internal energy along path $db$ is $60\mathrm{.}0J$ and the heat added to the system along path ad is $90\mathrm{.}0J.$ What is the work $W_{\text{a}\text{d}\text{b}}$ done by the system along path adb $?$

Part C

Now consider the table for process adb. What are the values of $Q_{ad},W_{db},$ and $U_{db}?$

Express your answers in joules separated by commas.

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SOLVE

Now that you have set up the problem, choose appropriate equations and solve for your unknowns.

Part D

To find the unknown of the problem, i$.$e$.,$ the work done by the system along path adb, you will need to find first the change in internal energy of the system when it is taken from state a to state $b$ along both paths acb and adb. Start with calculating the change in internal energy $U_{\text{a}\text{c}\text{b}}$ when the system is taken from state $a$ to state $b$ along path acb.

Enter your answer in joules.

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$U_{\text{a}\text{c}\text{b}}=$