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An air-conditioned room of volume 10 m3 has infiltration of air equivalent to 3 air changes per hour. Density of air is 1.2 kg/m3, specific heat Cp is 1 kJ/kgK and temperature difference between room and ambient air is 20 K. The sensible heat load due to infiltrated air is
  • a)
     60 kJ/hr
  • b)
    12 kJ/hr
  • c)
     6 kW
  • d)
     0.2 kW
Correct answer is option 'D'. Can you explain this answer?
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An air-conditioned room of volume 10 m3 has infiltration of air equiva...
Given data:
- Volume of the room (V) = 10 m3
- Infiltration rate (n) = 3 air changes per hour
- Density of air (ρ) = 1.2 kg/m3
- Specific heat capacity of air (Cp) = 1 kJ/kgK
- Temperature difference between room and ambient air (ΔT) = 20 K

Approach:
1. Calculate the mass flow rate of infiltrated air using the formula:
Mass flow rate (ṁ) = Density of air (ρ) × Volume of the room (V) × Infiltration rate (n) / 3600

2. Calculate the sensible heat load due to infiltrated air using the formula:
Sensible heat load (Q) = Mass flow rate (ṁ) × Specific heat capacity of air (Cp) × Temperature difference (ΔT)

3. Convert the sensible heat load to the desired unit (kW).

Calculation:
1. Calculate the mass flow rate:
ṁ = 1.2 kg/m3 × 10 m3 × 3 / 3600 s
= 0.01 kg/s

2. Calculate the sensible heat load:
Q = 0.01 kg/s × 1 kJ/kgK × 20 K
= 0.2 kW

3. The sensible heat load due to infiltrated air is 0.2 kW.

Therefore, the correct answer is option 'D' which is 0.2 kW.
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An air-conditioned room of volume 10 m3 has infiltration of air equivalent to 3 air changes per hour. Density of air is 1.2 kg/m3, specific heat Cp is 1 kJ/kgK and temperature difference between room and ambient air is 20 K. The sensible heat load due to infiltrated air isa)60 kJ/hrb)12 kJ/hrc)6 kWd)0.2 kWCorrect answer is option 'D'. Can you explain this answer?
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