A quantity of heat q is supplied to a monoatomic ideal gas which expands at constant pressure. the fraction of heat that goes into work done by the gas is:
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Answer: 40%
For an isobaric process, Q=nCPΔTQ=nCPΔT and W=nRΔTW=nRΔT
Now, CP=γRγ−1CP=γRγ−1 for an isobaric process, where γγ is the adiabatic index or the heat capacity ratio.
⇒ΔWΔQ⇒ΔWΔQ=RCP=RCP=γ−1γ=γ−1γ
For monatomic gases, γ=53γ=53
⇒ΔWΔQ⇒ΔWΔQ=γ−1γ=γ−1γ=53−153=53−153=0.4=40%=0.4=40%
This is the fraction of heat supplied for external work.
For an isobaric process, Q=nCPΔTQ=nCPΔT and W=nRΔTW=nRΔT
Now, CP=γRγ−1CP=γRγ−1 for an isobaric process, where γγ is the adiabatic index or the heat capacity ratio.
⇒ΔWΔQ⇒ΔWΔQ=RCP=RCP=γ−1γ=γ−1γ
For monatomic gases, γ=53γ=53
⇒ΔWΔQ⇒ΔWΔQ=γ−1γ=γ−1γ=53−153=53−153=0.4=40%=0.4=40%
This is the fraction of heat supplied for external work.
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