# Answer to Question #5546 in Molecular Physics | Thermodynamics for cncrowell

Question #5546

One mole of the ideal gas is initially at 4 atm

and 2 L. As the gas is slowly heated, the

plot of its state on a PV diagram moves in a

straight line to the state 5 atm and 7 L.

Find the work done by the gas.

Answer in units of kJ

and 2 L. As the gas is slowly heated, the

plot of its state on a PV diagram moves in a

straight line to the state 5 atm and 7 L.

Find the work done by the gas.

Answer in units of kJ

Expert's answer

The work done by the gas

Density as a function of volume - is linear:

Let’s find the necessary constants.

So we have

Note that

Density as a function of volume - is linear:

Let’s find the necessary constants.

So we have

Note that

**Answer: 2.28kJ**
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