A monatomic gas expands at constant pressure on heating. The percentage of heat supplied that increases the…

A monatomic gas expands at constant pressure on heating. The percentage of heat supplied that increases the internal energy of the gas and that is involved in the expansion is
  1. $75\%$, $25\%$
  2. $25\%$, $75\%$
  3. $60\%$, $40\%$
  4. $40\%, 60\%$

Solution

ΔU= f 2 nRdT

ΔQ=( f 2 +1 )nRdT

ΔU ΔQ = f 2 1+ f 2

ΔU ΔQ = 3 5

∆U∆Q×100=35×100=60%

Remaining is used in expansion of the gas = 40%

Asked in: MHT CET Full Test 1

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