The net change in the internal energy of the gas is 4300 Joules.
We know, from the first law of thermodynamics, the heat added to the system and the work done on the system is equal to the net change in internal energy of the system.
So, we can write,
ΔU = ΔQ + W
Where,
ΔU is the change in internal energy,
ΔQ is the total heat added to the system, the is given to be 2500 Joules and it has to be taken as positive because t is added to the system,
W is the work done, as the work done is against the gas, so, it has to be taken as positive,
we know,
W = F.S
Where,
F is the force applied,
S is the displacement,
So, putting values,
W = 1800 x 1
W = 1800 Joules.
So, the change in internal energy is,
ΔU = 2500+1800
ΔU = 4300 Joules.
The change in internal energy of the system is 4300 Joules.
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