A 0.50 m³ Gas tank holds 3.0 moles of ideal diatomic nitrogen gas at a temperature of 350 K. The atomic mass of nitrogen is 14.0 g/mol. What is the rms speed of the molecules? (The Boltzmann constant is 1.38 × 10^-23 J/K,N_A = 6.022 × 10²³ molecules/mol. )

Question

Quizplus · Accepted Answer

The rms speed of the molecules is given by:$$v_{rms}=\sqrt{\frac{3RT}{M}}$$where R is the gas constant, T is the temperature, and M is the molar mass.Plugging in the given values, we get:$$v_{rms}=\sqrt{\frac{3(8.314 J/mol K)(350 K)}{28 g/mol}}$$$$v_{rms}=560 m/s$$Therefore, the correct choice is A.

A 050 M3 Gas Tank Holds 3

A 050 M³ Gas Tank Holds 3