The root mean square speed of molecules of nitrogen gas at 27°C is approximately (Given mass of a nitrogen molecule = 4.6 × 10⁻²⁶ kg and take Boltzmann constant k_B=1.4 × 10⁻²³ J K⁻¹)

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(2) 523 m/s. Per molecule, vᵣₘₛ=√(3k_BT)/m. T=27+273=300 K. 3k_BT=3×1.4×10⁻²³×300=1.26×10⁻²⁰. (3k_BT)/m=(1.26×10⁻²⁰)/(4.6×10⁻²⁶)=2.74×10⁵. vᵣₘₛ=√2.74×10⁵≈523 m/s.

The root mean square speed of molecules of nitrogen gas at 27°C is approximately (Given mass of a nitrogen molecule = 4.6 × 10⁻²⁶ kg and take Boltzmann constant k_B=1.4 × 10⁻²³ J K⁻¹)

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