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n moles of an ideal triatomic linear gas undergoes a process in which the temperature changes with volume as `T=K_(1)V^(2)` where `K_(1)` is a constant. Choose incorrect alternative.A. At normal temperature `C_(v)= (5)/(2)R`B. At any temperature `C_(p)-C_(v) = R`C. At normal temperature molar heat capacity ` C=3R`D. At any temperature molar heat capacity `C=3R` |
Answer» Correct Answer - D At normal temperature `C_(v) = (f)/(2)R = (5)/(2)R` At any temperature `C_(p) - C_(v) = ((f)/(2)+1) - (f)/(2)R = R` from process `" " T = k_(1)V^(2)` and Ideal gas equation `PV= nRT` we have `PV^(-1)` = constant `implies x = -1` `implies C =C_(v) + (R)/(1-x) = C_(v) + (R)/(1+1) = C_(v) + (R)/(2)` At normal temperature ` C = (5)/(2)R + (R)/(2) = 3R` |
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