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Q.

H calories of heat are required to raise the temperature of 1 mole of a monoatomic gas from 20°C to 30°C at constant volume, The amount of heat required (in calories) to raise the temperature of 2 moles of a diatomic gas from 20°C to 25°C at constant pressure is

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a

(4/3) H

b

(5/3) H

c

2 H

d

(7/3) H

answer is D.

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Detailed Solution

H=1×CV×10   and Q=2×Cp×5 ∴ QH=2Cp/Cv×12=Cp/CvFor diatomic gas, Cp =(7/2) R. For monoatomic gasCV=(3/2)R∴ QH=(7/2)R(3/2)R=73  or  Q=73H
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