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Question

Question: The kinetic energy of one gram molecule of a gas at normal temperature and pressure is\((R = 8.31J/m...

The kinetic energy of one gram molecule of a gas at normal temperature and pressure is(R=8.31J/moleK)(R = 8.31J/mole - K)

A

0.56×104J0.56 \times 10^{4}J

B

1.3×102J1.3 \times 10^{2}J

C

2.7×102J2.7 \times 10^{2}J

D

3.4×103J3.4 \times 10^{3}J

Answer

3.4×103J3.4 \times 10^{3}J

Explanation

Solution

Kinetic energy per gm mole E=f2RTE = \frac{f}{2}RT

If nothing is said about gas then we should calculate the translational kinetic energy

i.e., ETrans=32RT=32×8.31×(273+0)=3.4×103JE_{\text{Trans}} = \frac{3}{2}RT = \frac{3}{2} \times 8.31 \times (273 + 0) = 3.4 \times 10^{3}J