A gas contained within a piston−$-$cylinder assembly, initially at a volume of 0.1$0\mathrm{.}1$ m3,$3,$ undergoes a constant−$-$pressure expansion at 2$2$ bar to a final volume of 0.12$0\mathrm{.}12$ m3,$3,$ while being slowly heated through the base. The change in internal energy of the gas is 0.25$0\mathrm{.}25$ kJ.$.$ The piston and cylinder walls are fabricated from heat−$-$resistant materials for thermal insulation, and the piston moves smoothly in the cylinder without friction. By taking the gas as the system,

a)$)$

find the work done by the gas, in kJ,$,$ and

b)$)$

the heat transfer between the system and its surroundings, in kJ.$.$

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