Alarge room in a house holds 947 kg of dry air at 33.2°c. a woman opens a window briefly and a cool breeze brings in an additional 62.4 kg of dry air at 13.2°c. at what temperature (in degrees celsius) will the two air masses come into thermal equilibrium, assuming they form a closed system? (the specific heat of dry air is 1006 j/ kg * °c, although that value will cancel out of the calorimetry equation.)

°c

31.96362 °C

Explanation:

= Mass of air in the room = 947 kg

= Mass of air entering the room = 62.4 kg

= Temperature in the room = 33.2°C

= Temperature air entering the room = 13.2°C

T = Equilibrium temperature

c = Specific heat of air = 1006 J/kg °C

In the case of thermal equilibrium we have the relation

The temperature of thermal equilibrium is 31.96362 °C

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