We are given that the process equipment emits 5 kg/h of volatile organic compounds (VOCs). A hood placed over the equipment captures 95% of the VOCs. This means the amount of VOCs captured by the hood is:
\[
\text{Captured VOCs} = 95% \times 5 \, \text{kg/h} = 0.95 \times 5 = 4.75 \, \text{kg/h}.
\]
The fugitive emissions refer to the amount of VOCs not captured by the hood, which is the remaining 5%. So, the fugitive emission is:
\[
\text{Fugitive Emission} = 5% \times 5 \, \text{kg/h} = 0.05 \times 5 = 0.25 \, \text{kg/h}.
\]
Thus, the fugitive emission is 0.25 kg/h. The correct answer is option (A).