What Is the Total Translational Kinetic Energy of the Gas $1.01 \times 10 ^ { 5 } \mathrm {~Pa} \text { at } 20.7 ^ { \circ } \mathrm { C } \text { ? }$

Short Answer

What is the total translational kinetic energy of the gas in a classroom filled with nitrogen at $1.01 \times 10 ^ { 5 } \mathrm {~Pa} \text { at } 20.7 ^ { \circ } \mathrm { C } \text { ? }$ The dimensions of the classroom are $4.60 \mathrm {~m} \times 5.20 \mathrm {~m} \times 8.80 \mathrm {~m}$ The Boltzmann constant is $1.3806503 \times 10 ^ { - 23 } \mathrm {~J} / \mathrm { K } , R = 8.31 \mathrm {~J} / \mathrm { mol } \cdot \mathrm { K } , \text { and } N _ { \mathrm { A } } = 6.022 \times$ $10 ^ { 23 }$ molecules/mol.