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Q.

The internal energy of one gram of Helium at 100 K and one atmospheric pressure is 

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a

100 J

b

1200 J

c

300 J

d

500 J

answer is C.

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Detailed Solution

The Helium molecule is monoatomic and hence its internal energy per molecule is 32kBT (where kB is Boltzmann constant). The internal energy per mole is thereafter is 32kBT. One gram of the helium is one fourth mole and hence its internal energy is 14x32R x 100=300 J, taking the value of R to be approximately 8 J mol-1 K-1.

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The internal energy of one gram of Helium at 100 K and one atmospheric pressure is