Answer
$$
18 \mathrm{\ cal} .
$$
Work Step by Step
The work $W_{b f}$ for the path $b f$ is zero, so
$$
Q_{b f}=E_{\text {int }}, f-E_{\text {int }}, b=40 \mathrm{cal}-22 \mathrm{cal}=18 \mathrm{\ cal} .
$$
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