Three perfect gases at absolute temperatures T 1 , T 2 and T 3 are mixed. The masses of…
Physics · NEET · NTA Exams — KINETIC THEORY OF GASES
Three perfect gases at absolute temperatures T1, T2 and T3 are mixed. The masses of molecules are m1, m2 and m3 and the number of molecules are n1, n2 and n2 respectively. Assuming no loss of energy, the final temperature of the mixture is:
- \(\frac{n_{1} T_{1}+n_{2} T_{2}+n_{3} T_{3}}{n_{1}+n_{2}+n_{3}}\)
- \(\frac{n_{1} T_{1}+n_{2} T_{2}^{2}+n_{3} T_{3}^{2}}{n_{1} T_{1}+n_{2} T_{2}+n_{3} T_{3}}\)
- \(\frac{n_{1}^{2} T_{1}^{2}+n_{2}^{2} T_{2}^{2}+n_{3}^{2} T_{3}^{2}}{n_{1} T_{1}+n_{2} T_{2}+n_{3} T_{3}}\)
- \(\frac{\left[T_{1}+T_{2}+T_{3}\right]}{3}\)
Answer
(A) n_ 1 T_ 1 +n_ 2 T_ 2 +n_ 3 T_ 3 n_ 1 +n_ 2 +n_ 3
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