What is the average translational kinetic energy of a nitrogen molecule in the air in a room in which the air temperature is 17°C? The Boltzmann constant is 1.38 × 10^-23 J/K. A)6.01 × 10^-21 J B)4.00 × 10^-21 J C)5.00 × 10^-21 J D)7.00 × 10^-21 J E)9.00 × 10^-21 J

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Quizplus · Accepted Answer

The average translational kinetic energy ($E_k$) of a molecule at temperature $T$ in Kelvin can be calculated using the formula $E_k = \frac{3}{2}kT$, where $k$ is the Boltzmann constant. First, convert the temperature from Celsius to Kelvin: $T = 17°C + 273.15 = 290.15 K$. Then, $E_k = \frac{3}{2} \times 1.38 \times 10^{-23} J/K \times 290.15 K = 6.01 \times 10^{-21} J$.

What Is the Average Translational Kinetic Energy of a Nitrogen