Three perfect gases at absolute temperatures $$T1$$, $$T2$$ and $$T3$$ are mixed. The masses of the molecules are $$m1$$, $$m2$$ and $$m3$$ and number of molecules are $$n1$$, $$n2$$ and $$n3$$ respectively. Assuming no loss of energy, the final temperature of the mixture is

Question

Three perfect gases at absolute temperatures $$T1$$,  $$T2$$    and   $$T3$$ are mixed. The masses  of the molecules are  $$m1$$,  $$m2$$ and $$m3$$ and number of molecules are $$n1$$,  $$n2$$ and $$n3$$  respectively. Assuming no loss of energy, the final temperature of the mixture is

Infinity Learn · Accepted Answer

Let  $$T3$$>$$T2$$>$$T1$$ and final temperature be T such that $$T3$$>T>$$T2$$>$$T1$$ .Heat lost by first two gases is equal to heat gained by third $$gasn1CT$$−$$T1+n2CT$$−$$T2=n1CT3$$−T⇒$$T=n1T1+n2T2+n3T3n1+n2+n3$$

Three perfect gases at absolute temperatures $T_{1}, T_{2} a n d T_{3}$ are mixed. The masses of the molecules are $m_{1}, m_{2} a n d m_{3}$ and number of molecules are $n_{1}, n_{2} a n d n_{3}$ respectively. Assuming no loss of energy, the final temperature of the mixture is

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Three perfect gases at absolute temperatures T1, T2 and T3 are mixed. The masses of the molecules are m1, m2 and m3 and number of molecules are n1, n2 and n3 respectively. Assuming no loss of energy, the final temperature of the mixture is

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Three perfect gases at absolute temperatures $T_{1}, T_{2} a n d T_{3}$ are mixed. The masses of the molecules are $m_{1}, m_{2} a n d m_{3}$ and number of molecules are $n_{1}, n_{2} a n d n_{3}$ respectively. Assuming no loss of energy, the final temperature of the mixture is