Heat transfer from gas to gas?

[macrossvf]

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?

 

[Simon Bridge]

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.