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Question

One mole of an ideal monatomic gas requires 210 J heat to raise the temperature by 10 K, when heated at constant pressure. If the same gas is heated at constant volume to raise the temperature by 10 K then heat required is

A
238 J
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B
126 J
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C
210 J
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D
350 J
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Solution

The correct option is B 126 J

(Q)P = μCPT and (Q)V = μCVT
(Q)V(Q)P = CvCp = 32R52R = 35
[ (CV)mono=32R,(CP)mono=52R]
(Q)V = 35×(Q)P = 35×210=126J


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