States of Matter 1 Question 91

91. Calculate the average kinetic energy, in joule per molecule in $8.0 \mathrm{~g}$ of methane at $27^{\circ} \mathrm{C}$.

(1982, 2M)

Show Answer

Solution:

  1. $\mathrm{KE}=\frac{3}{2} k_{B} T: k_{B}=$ Boltzmann’s constant

$$ =\frac{3}{2} \times 1.38 \times 10^{-23} \times 300 \mathrm{~J}=6.21 \times 10^{-21} \mathrm{~J} / \text { molecule } $$