(a) The work done by the ideal gas during the isothermal exapnsion process is -3.556 J.
(b) The heat added to the gas during this process is 3.556 J.
The work done by an ideal gas in isothermal expansion is change in pressure and volume of the gas. The change in the internal energy of the gas is zero.
The work done by the given ideal gas is calculated as follows;
W = ΔPV
where;
W = (P₂ - P₁)(V₂ - V₁)
W = (7kPa - 9kPa)(8L - 6.222L)
W = -3.556 kPa.L
1 kPa.L = 1 J
W = -3.556 J
ΔU = q + w
where;
0 = q + (-3.556)
q = 3.556 J
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