In an isothermal process, 3700 J of work is done by an ideal gas. Is this enough information to tell how much heat has been added to the system? If so, how much? If not, why not?

Solution 3Q

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What is isothermal expansion. It is the expansion when the product of P(Pressure) and V(Volume) is equal to a constant. I.e PV = K ( a constant)

We do not know the pressure at which it was compressed from 1 litre to 0.5 ltre. So we can use p/P0. Where P0 is atmospheric pressure at sea level.

So if at the start pressure was P1 and volume is 1 litre. It is compressed to 0.5 litres at same pressure. It is now expanded. Initial Pressure = P1, Volume = 0.5 litres.

As PV = constant P1V1 = P2V2. It will expand to 1 litre. So 0.5 * P1 = 1* P2. So P2 = Twice the value of P1.