Mixture of different gases at different temperatures

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To determine the temperature T3 of a mixture of dry air and water steam, the user considers using energy balance equations involving specific heat capacities and temperatures of each gas. They also inquire about applying Dalton's Law to find the partial pressures of the gases in the mixture. The context involves a steam turbine seal system where both gases flow into a chamber under vacuum conditions. Clarification is needed regarding the pressure conditions, as the user initially misstated them. A schematic diagram is suggested for better understanding of the system layout.
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Homework Statement


Hello. I have problém with this system. Mixture of two gases. How can i determine temperature T3?
Gas 1 (dry air) - I know T1, p1, m1
Gas 2 (water steam) - I know T2, p2, m2

Output (mixture) P3, (m1+m2); p3<p1;p3<p2

Homework Equations

The Attempt at a Solution


Is it possible to use this solution?
m1*c1*t1+m2*c2*t2=m1*c1'*t3+m2*c2'*t3
from the software tables
c1=function(p1;t1)
c1'=function(p3;t3)
c2=function(p2;t2)
c2'=function(p3;t3)​
?

Or i should use Daltons law to determine different partial pressure in c1' and c2'?

Excuse my English. I am working on it :)
 
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The answer depends on the details of the process that is employed.
 
This is a process in the steam turbine seals. There is one "tube" with air, second "tube" with steam and they both point into the chamber. In chamber is vacuum (vacuum is made by vacuum-pump)
 
You have two streams flowing into a closed chamber of fixed volume that is initially under zero absolute pressure?
 
Sorry my mistake. p1=p2=p3 chamber is opened.
 
samak55 said:
Sorry my mistake. p1=p2=p3 chamber is opened.
Please draw a schematic diagram.
 
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