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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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(4/3) H

(5/3) H

2 H

(7/3) H

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detailed solution

Correct option is D

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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Similar Questions

Consider the following statements.
(A) When a hot liquid is mixed with a cold liquid, the temperature of the mixer is undefined for some time and then becomes nearly constant.
(B) If two bodies at different temperature are mixed in a calorimeter, the total energy of the two bodies remains conserved.
Select the correct option.
(a) (A) is false but (B) is true.
(b) Both (A) and (B) are true.
(c) (A) is true but (B) is false.
(d) Both (A) and (B) are false.

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