GATE 2026 AR — Architecture – Question 55
Outdoor and room temperatures are 18°C and 22°C. Internal gain is 5 kW and air volumetric heat capacity is 1300 J/(m³°C). With no other heat transfer or storage, find ventilation flow in m³/s, to two decimals.
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Correct answer: 0.95 to 0.97
Explanation
At steady state, incoming cooler air must remove the 5000 W gain. Ventilation heat removal is Cv Q(Tinside−Toutside)=1300Q×4. Hence Q=5000/5200=0.961538 m³/s, or 0.96. Use the positive 4°C cooling difference.