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Q.

70 cal heat is required to raise the temperature of 2 moles of an ideal gas at constant pressure from $30^{0} C t o 35^{0} C$ . The amount of heat required to raise the temperature of same gas through same raise of temperature at constant volume is

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a

28 J

b

50 cal

c

75 J

d

zero

answer is B.

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Detailed Solution

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$Q = {nC}_{P} ΔT \Rightarrow C_{P} = \frac{Q}{n △ T} = \frac{70}{2 \times 5} = 7 We know that for diatomic gas, \frac{C_{P}}{C_{V}} = \frac{7}{5} \Rightarrow C_{V} = 5 C_{V} = \frac{Q}{n △ T} \Rightarrow Q = {nC}_{V} ΔT = 2 \times 5 \times 5 = 50 cal$

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