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  4. At a certain temperature, the degrees of freedom per molecule for gas is 8 . The gas performs 150 J of work when it expands under constant pressure. The amount of heat absorbed by the gas will be ......J.

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Q. At a certain temperature, the degrees of freedom per molecule for gas is $8$ . The gas performs $150 \,J$ of work when it expands under constant pressure. The amount of heat absorbed by the gas will be ......$J$.

JEE MainJEE Main 2022Kinetic Theory

Solution:

$ W = nR \Delta T =150 J$
$ Q =\left(\frac{ f }{2}+1\right) nR \Delta T =\left(\frac{8}{2}+1\right) 150=750 J $