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Question: If R = universal gas constant, the amount of heat needed to raise the temperature of 2 mole of an id...

If R = universal gas constant, the amount of heat needed to raise the temperature of 2 mole of an ideal monoatomic gas from 273K to 373K when no work is done

A

100 R

B

150 R

C

300 R

D

500 R

Answer

300 R

Explanation

Solution

ΔQ=ΔU+ΔW∵ΔW=0\Delta Q = \Delta U + \Delta W\because\Delta W = 0⇒ ΔQ=ΔU=f2μRΔT\Delta Q = \Delta U = \frac{f}{2}\mu R\Delta T

=32×2R(373−273)= \frac{3}{2} \times 2R(373 - 273) = 300R.