Heat transfer from gas to gas?

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SUMMARY

This discussion focuses on calculating heat transfer when a fixed volume of gas is released into a larger sealed room. Specifically, it examines a scenario where 1m³ of gas at 37 degrees Celsius is introduced into a 100m³ room at 28 degrees Celsius. The key takeaway is that once the gases mix, they reach thermal equilibrium, and the total heat in the system remains constant. For initial calculations, the ideal gas equation of state is recommended as a first approximation.

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macrossvf
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I am wondering if there is any way or formula to find Heat transfer from a fix volume of gas that is release into a sealed room.

Eg. 1m^3 of 37 degree gas is released into a 100m^3 room which has a temperature of 28 degree. What is the heat transfer from the released gas?
 
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Welcome to PF;
This is the classic - 2 gasses are in adjacent thermally insulated containers, they are initially at thermal equilibrium with themselves, and the wall between them is removed.

In your example, the pressures are initially equal, but the temperatures are different, and the volumes are very different. You don't specify what the gasses are.

You should realize that the cylinder becomes part of the room the second the two are connected, and if no heat leaves the system (cylinder + room) then the amount of heat in the system remains the same.

Over a long time the system returns to thermal equilibrium ... so the heat is spread evenly between the two parts. For a first approximation - I'd just use the ideal gas equation of state.
 

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