An ideal gas with density `6 gm//L` has a pressure of 38 torr at room temperature, then calculate the value of root mean square speed (in m/sec) of mo

Question

An ideal gas with density `6 gm//L` has a pressure of 38 torr at room temperature, then calculate the value of root mean square speed (in m/sec) of mo

An ideal gas with density `6 gm//L` has a pressure of 38 torr at room temperature, then calculate the value of root mean square speed (in m/sec) of molecules of this gas. [Take 1 atm `= 10^(5)` Pascal]
[Divide your answer by 10]

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - 5
`U_("rms") = sqrt((3RT)/(M)) = sqrt((3P)/(d)) = sqrt((3 xx 38 xx 10^(5))/(760 xx 6)) = sqrt((10^(4))/(4))` where `d = 6 gm//"lit". = 6 xx 10^(-3) kg//10^(-3) m^(3) = 6 kg//m^(3)`
`U_("rms") = (100)/(2) = 50 m//sec`
`= (50)/(10) = 5`

5 views Answered 2023-02-05 15:29