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Question

5 mole of oxygen are heated at constant volume from 10oC to 20oC. What will be the change in the internal energy of gas? The molar heat of oxygen at constant pressure, CP=7.03cal mol1deg1 and R=8.31Jmol1deg1.

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Solution

R=8.31Jmol1deg1=8.314.18cal mol1deg1
=1.99cal mol1deg1
We know that CPCV=R
or CV=CPR=7.031.99=5.04cal mol1deg1
Heat absorbed by 5 mole of oxygen in heating from 10oC to 20oC
=5×CV×ΔT=5×5.04×10=252cal
Since, the gas is heated at constant volume, no external work is done,
i.e., w=0
So, change in internal energy will be equal to heat absorbed,
ΔU=q+w=252+0=252cal

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