Calculate the root-mean-square speed of methane, CH₄(g), at 78°C. A) 23 m/s B) 350 m/s C) 550 m/s D) 667 m/s E) 739 m/s

Question

Quizplus · Accepted Answer

The root-mean-square speed (v_rms) is calculated using the formula v_rms = sqrt(3RT/M), where R is the ideal gas constant (8.314 J/mol·K), T is the temperature in Kelvin, and M is the molar mass in kg/mol. For methane, CH4, M = 0.016 kg/mol. At 78°C (351 K), v_rms = sqrt(3 * 8.314 * 351 / 0.016) ≈ 739 m/s.

Calculate the Root-Mean-Square Speed of Methane, CH4(g), at 78°C

Calculate the Root-Mean-Square Speed of Methane, CH₄(g), at 78°C