Calculating Ventilation Effect Watts in a Room

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To calculate the effect of a ventilation system in Watts, the proposed equation uses the specific heat capacity of air (0.335) and the temperature difference between incoming air (TA) and outside air (TO). However, if the incoming air is cooler than the room temperature, the energy required to heat this air must also be considered. The current formulation may lead to unit inconsistencies, as it compares Watts to a product of volume flow and temperature change, which does not yield the desired result. It is suggested to convert volume flow to mass flow to ensure proper unit alignment. Accurate calculations are essential for determining the effective heating impact of the ventilation system.
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I want to calculate how much effect in Watts a ventilation system brings into a room. Will it be correct to use the following equation for this:

<br /> \dot Q = \dot V \cdot 0,335 \cdot \left( {T_A - T_O } \right)<br />

where 0,335 is actually the Cp of air derived from {{1005} \over {3600}} \cdot 1,2
TA is the temperature the air enters the room with, and TO is the outside temp.

If the air enters the room with a lower temp than the room, how can the energy needed to heat up this air to room temp be taken into account?
 
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I would think that should work, however, check your units. On the left you have watts, or J/s, on the right you have (m^3/s)(J/kgK)(K) giving you...well not what your looking for. I'm pretty sure you need to change your volume flow to mass flow.
 
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