# Energy and Work (pV diagram problem)

#### Zach00

Hi there! So I've never taken physics until now (first year in uni) so I'm struggling to say the least. I'm trying to do this problem of a pV diagram and I'm stuck on b). I've done a) and c). I'm just confused how to find Vc in an isothermal process because if it was adiabatic then I could use the adiabatic law with gamma. See the attached files for the question and my work

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#### benit13

For isothermal expansion:

$$\displaystyle P_1 V_1 = P_2 V_2$$

We know that $$\displaystyle P_1 = 3 P_2$$, so

$$\displaystyle V_2 = 3 V_1 = 3 \times 0.004 = 0.012 m^3$$

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