Question The equation for the velocity of sound in a gas states that \( v=\sqrt{\gamma k_{b} \frac{T}{m}} \). Velocity \( \mathrm{v} \) is measured in \( \mathrm{m} / \mathrm{s} . \gamma \) is a dimensionless constant, \( T \) is temperature in kelvin \( (\mathrm{K}) \), and \( \mathrm{m} \) is mass in \( \mathrm{kg} \). What are the units for the Boltzmann constant, \( \mathrm{k}_{\mathrm{b}} \) ?
(A) \( \mathrm{kg} \cdot \mathrm{m}^{2} \cdot \mathrm{s}^{-2} \cdot \mathrm{K}^{-1} \)
(B) \( \mathrm{kg} \cdot \mathrm{m}^{2} \cdot \mathrm{s}^{2} \cdot \mathrm{K} \)
(C) \( \mathrm{kg} \cdot \mathrm{m} / \mathrm{s} \cdot \mathrm{K}^{-2} \)
(D) \( \mathrm{kg} \cdot \mathrm{m}^{2} \cdot \mathrm{s}^{-2} \cdot \mathrm{K} \)📲PW App Link - https://bit.ly/YTAI_PWAP 🌐PW Website - https://www.pw.live
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