Three perfect gases at absolute temperatures $${{T}_{1}},\,{{T}_{2}}$$ and $${{T}_{3}}$$ are mixed. The masses of molecules are $${{m}_{1}},\,{{m}_{2}}$$ and $${{m}_{3}}$$ and the number of molecules are $${{n}_{1}},\,{{n}_{2}}$$ and $${{n}_{3}},$$ respectively. Assuming no loss of energy, the final temperature of the mixture is

Question

TuteeHUB · Accepted Answer

$$\frac{{{n}_{1}}{{T}_{1}}+{{n}_{2}}T_{2}^{2}+{{n}_{3}}T_{3}^{2}}{{{n}_{1}}{{T}_{1}}+{{n}_{2}}{{T}_{2}}+{{n}_{3}}{{T}_{3}}}$$

TuteeHUB · Answer

$$\frac{({{T}_{1}}+{{T}_{2}}+{{T}_{3}})}{3}$$

TuteeHUB · Answer

$$\frac{{{n}_{1}}{{T}_{1}}+{{n}_{2}}{{T}_{2}}+{{n}_{3}}{{T}_{3}}}{{{n}_{1}}+{{n}_{2}}+{{n}_{3}}}$$

TuteeHUB · Answer

$$\frac{n_{1}^{2}T_{1}^{2}+n_{3}^{2}T_{2}^{2}+n_{3}^{2}T_{3}^{2}}{{{n}_{1}}{{T}_{1}}+{{n}_{2}}{{T}_{2}}+{{n}_{3}}{{T}_{3}}}$$

1.	Three perfect gases at absolute temperatures \[{{T}_{1}},\,{{T}_{2}}\] and \[{{T}_{3}}\] are mixed. The masses of molecules are \[{{m}_{1}},\,{{m}_{2}}\] and \[{{m}_{3}}\] and the number of molecules are \[{{n}_{1}},\,{{n}_{2}}\] and \[{{n}_{3}},\] respectively. Assuming no loss of energy, the final temperature of the mixture is
A.	\[\frac{({{T}_{1}}+{{T}_{2}}+{{T}_{3}})}{3}\]
B.	\[\frac{{{n}_{1}}{{T}_{1}}+{{n}_{2}}{{T}_{2}}+{{n}_{3}}{{T}_{3}}}{{{n}_{1}}+{{n}_{2}}+{{n}_{3}}}\]
C.	\[\frac{{{n}_{1}}{{T}_{1}}+{{n}_{2}}T_{2}^{2}+{{n}_{3}}T_{3}^{2}}{{{n}_{1}}{{T}_{1}}+{{n}_{2}}{{T}_{2}}+{{n}_{3}}{{T}_{3}}}\]
D.	\[\frac{n_{1}^{2}T_{1}^{2}+n_{3}^{2}T_{2}^{2}+n_{3}^{2}T_{3}^{2}}{{{n}_{1}}{{T}_{1}}+{{n}_{2}}{{T}_{2}}+{{n}_{3}}{{T}_{3}}}\]
Answer» C. \[\frac{{{n}_{1}}{{T}_{1}}+{{n}_{2}}T_{2}^{2}+{{n}_{3}}T_{3}^{2}}{{{n}_{1}}{{T}_{1}}+{{n}_{2}}{{T}_{2}}+{{n}_{3}}{{T}_{3}}}\]

Discussion

No Comment Found

Related MCQs

Reply to Comment