InterviewSolution
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InterviewSolution
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A rigid and insulated tank of `3m^(3)` volume is divided into two compartments. One compartment of volume of `2m^(3)` contains an ideal gas at `0.8314` Mpa and 400 K while the second compartment of volume of `1m^(3)` contains the same gas at `8.314` Mpa and 500 K. If the partition between the two compartments is rptured, the final temperature of the gas is :A. 420 KB. 450 KC. 480 KD. None of these |
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Answer» Correct Answer - C Mole of the gas in the first compartment `n_(1)=(P_(1)V_(1))/(RT_(1))=-(0.8314xx10^(6)xx2)/(8.314xx400)=500` Similarly, `n_(2)=2000` The tank is rigid and insulated hence w = 0 and q = 0 therefore `DeltaU=0` Let `T_(f)` and `P_(f)` denote the final temperature and pressure respectively `DeltaU=n_(1)C_(V,m)[T_(f)-T_(1)]+n_(2)C_(V,m)[T_(f)-T_(2)] =0` `500(T_(f)-400)+2000(T_(f)-500)=0` `T_(f)=480K` |
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