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rms speed of a molecule or particle from its mass and temperature

This type of question, asked 2 times: 29 Jul 2022, 11 Apr 2023. All 2 questions below, oldest first.

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  1. Question 1

    29 Jul 2022

    109
    The root mean square speed of smoke particles of mass 5×10−17 kg5 \times10^{- 17}\text{ }kg in their Brownian motion in air at NTP is approximately. [Given k=1.38×10−23JK−1k = 1.38 \times10^{- 23}JK^{- 1} ]

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  2. Question 2

    11 Apr 2023

    106
    The root mean square speed of molecules of nitrogen gas at 27∘C27^{\circ}C is approximately: (Given mass of a nitrogen molecule =4.6×10−26 kg= 4.6 \times10^{- 26}\text{ }kg and take Boltzmann constant kB=1.4×10−23JK−1k_{B}= 1.4 \times10^{- 23}JK^{- 1} )

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