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  • 70 calorie of heat is required to raise the temperture of a diatomic gas at contant pressure from 30 to <img alt="35^{\circ} \mathrm{C}" src="https://entrancecorner.oncodecogs.com/gif.latex?35%5E%7

70 calorie of heat is required to raise the temperture of a diatomic gas at contant pressure from 30 to 35^{\circ} \mathrm{C}. the amount of heat requried (in calorie) to raise the temperature of the same gas through the same range  \left(30\right.$ to $\left.35^{\circ} \mathrm{C}\right) at constant volume is

Option: 1

30


Option: 2

60


Option: 3

50


Option: 4

70


Answers (1)

best_answer

\mathrm{\frac{C_{P}}{C_{v}}=\gamma=1.4}

\frac{(\Delta \mathrm{Q})_{\mathrm{P}}}{(\Delta \mathrm{Q})_{\mathrm{V}}}=\frac{\mathrm{nC}_{\mathrm{p}} \Delta \mathrm{T}}{\mathrm{nC}_{\mathrm{V}} \Delta \mathrm{T}}=\frac{\mathrm{C}_{\mathrm{P}}}{\mathrm{C}_{\mathrm{V}}}=1.4

\therefore \quad(\Delta \mathrm{Q})_{\mathrm{V}}=\frac{(\Delta \mathrm{Q})_{\mathrm{P}}}{1.4}=50 \mathrm{cal}

Posted by

HARSH KANKARIA

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