In a closed insulated container a liquid is stirred with a paddle to increase the temperature. Correct conditions are
W = 0, ΔE =q ≠ 0
ΔE =W =q ≠ 0
ΔE =0, w =q ≠ 0
ΔE = w ≠ 0, q =0
∴insulated vessel, q = 0
increase in temperature indicates ΔE ≠0
Paddle work is done ∴ w ≠ 0