A) \[{{T}_{1}}+{{T}_{2}}\]
B) \[({{T}_{1}}+{{T}_{2}})/2\]
C) \[\frac{{{T}_{1}}{{T}_{2}}\left( {{P}_{1}}{{V}_{1}}+{{P}_{2}}{{V}_{2}} \right)}{{{P}_{1}}{{V}_{1}}{{T}_{2}}+{{P}_{2}}{{V}_{2}}{{T}_{1}}}\]
D) \[\frac{{{T}_{1}}{{T}_{2}}\left( {{P}_{1}}{{V}_{1}}+{{P}_{2}}{{V}_{2}} \right)}{{{P}_{1}}{{V}_{1}}{{T}_{1}}+{{P}_{2}}{{V}_{2}}{{T}_{2}}}\]
Correct Answer: C
Solution :
[c] \[\frac{P({{V}_{1}}+{{V}_{2}})}{T}=\frac{{{P}_{1}}{{V}_{1}}}{{{T}_{1}}}+\frac{{{P}_{2}}{{V}_{2}}}{{{T}_{2}}}\] ?.(i) Also \[P({{V}_{1}}+{{V}_{2}})\,={{P}_{1}}{{V}_{1}}+{{P}_{2}}{{V}_{2}}\] ?(ii) After solving above equations, we get \[T=\left[ \frac{\left( {{P}_{1}}{{V}_{1}}+{{P}_{2}}{{V}_{2}} \right){{T}_{1}}{{T}_{2}}}{{{P}_{1}}{{V}_{1}}T+{{P}_{2}}{{V}_{2}}{{T}_{2}}} \right]\]You need to login to perform this action.
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