Final temperature of the gas mixture,neglecting heat losses

In summary, the formula for calculating the final temperature of a gas mixture is Tfinal = (m1*T1 + m2*T2)/(m1 + m2), where m1 and m2 are the masses of the two gases and T1 and T2 are their initial temperatures. Heat losses can decrease the final temperature of a gas mixture, and it is possible for the final temperature to be lower than the initial temperatures of the individual gases. The specific heat capacity of the gases also affects the final temperature, with higher specific heat capacities having a greater impact. To minimize heat losses and get a more accurate final temperature, insulated containers or controlled environments can be used, as well as reducing the time between mixing the gases and measuring the final
  • #1
Intekhab Alam
1
0
A box containing 2 moles of rigid diatomic gas molecules at temperature T connected to another box containing 2 moles of ideal monoatomic gas at temperature 5T. What is the final temperature of the gas mixture,neglecting heat losses?
2. The attempt at a solution:
Q(initial)=Q(final)
m1C(v1)T(1)+m2C(v2)T(2)=(m1+m2)C(v)T(final)
but i don't know m1 & m2.
 
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  • #2
I read 2 moles for m1 and also for m2 ?!
 

FAQ: Final temperature of the gas mixture,neglecting heat losses

What is the formula for calculating the final temperature of a gas mixture?

The formula for calculating the final temperature of a gas mixture, neglecting heat losses, is as follows: Tfinal = (m1*T1 + m2*T2)/(m1 + m2), where m1 and m2 are the masses of the two gases and T1 and T2 are their initial temperatures.

How do heat losses affect the final temperature of a gas mixture?

Heat losses can decrease the final temperature of a gas mixture because some of the thermal energy is lost to the surroundings. This means that the final temperature calculated using the formula will be slightly lower than the actual final temperature.

Can the final temperature of a gas mixture ever be lower than the initial temperatures of the individual gases?

Yes, it is possible for the final temperature of a gas mixture to be lower than the initial temperatures of the individual gases if heat losses are significant. This is because the formula for calculating the final temperature assumes no heat losses, so the actual final temperature may be lower due to heat loss.

Is the final temperature of a gas mixture affected by the specific heat capacity of the gases?

Yes, the final temperature of a gas mixture is affected by the specific heat capacity of the gases. This is because the specific heat capacity determines how much heat energy is required to raise the temperature of a substance. Therefore, gases with higher specific heat capacities will have a greater impact on the final temperature.

How can heat losses be minimized in order to get a more accurate final temperature of a gas mixture?

Heat losses can be minimized by using insulated containers or conducting the experiment in a controlled environment with minimal temperature fluctuations. Additionally, reducing the time between mixing the gases and measuring the final temperature can also help minimize heat losses.

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