What is the root-mean-square speed of chlorine gas molecules at a temperature of 346 K? (R = 8.31 J/mol⋅K,N_A = 6.02 × 10²³,and the molecular mass of Cl₂ = 71) A)1.1E+2 m/s B)3.5E+2 m/s C)8.2E+4 m/s D)1.2E+5 m/s E)3.5E+4 m/s

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Quizplus · Accepted Answer

The root-mean-square speed (v_rms) is calculated using the formula v_rms = sqrt(3RT/M), where R is the gas constant, T is the temperature, and M is the molar mass in kg/mol. For Cl2, M = 71 g/mol = 0.071 kg/mol. Substituting the values, v_rms = sqrt(3 * 8.31 * 346 / 0.071) ≈ 352 m/s, which matches option B.

What Is the Root-Mean-Square Speed of Chlorine Gas Molecules at a Temperature