Answer:
[tex]\Delta V=35.5\ L[/tex]
Explanation:
According to the first law of thermodynamics:-
[tex]\Delta U = q - w[/tex]
Where,
U is the internal energy = [tex]2.89\times 10^3\ J[/tex]
q is the heat = [tex]6.44\times 10^3\ J[/tex] (heat is gained)
w is the work done = ?
[tex]\Delta U = q - w[/tex]
[tex]w=q-\Delta U = 6.44\times 10^3\ J-2.89\times 10^3\ J= 3.55\times 10^3\ J[/tex]
The expression for the calculation of work done is shown below as:
[tex]w=P\times \Delta V[/tex]
Where, P is the pressure, [tex]1.00\times 10^5\ Pa[/tex]
[tex]\Delta V[/tex] is the change in volume
Also, 1 J = 1000 PaL
So,
[tex]w=3.55\times 10^6\ PaL[/tex]
From the question,
[tex]3.55\times 10^6=1.00\times 10^5\times \Delta V[/tex]
[tex]\Delta V=35.5\ L[/tex]
