The density of a gas at 100 , kPa pressure is | vedclass

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(B) The root mean square speed $(u_{rms})$ is given by the formula: $u_{rms} = \sqrt{\frac{3P}{d}}$Given:Pressure $(P)$ = $100 \, kPa = 100 	imes 10^

Vedclass · Accepted Answer

$1732$

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(B) The root mean square speed $(u_{rms})$ is given by the formula: $u_{rms} = \sqrt{\frac{3P}{d}}$Given:Pressure $(P)$ = $100 \, kPa = 100 	imes 10^3 \, Pa = 10^5 \, N \, m^{-2}$Density $(d)$ = $0.1 \, g \, dm^{-3} = 0.1 	imes 10^{-3} \, kg 	imes (10^{-3} \, m^3)^{-1} = 0.1 \, kg \, m^{-3}$Substituting the values:$u_{rms} = \sqrt{\frac{3 	imes 10^5}{0.1}}$$u_{rms} = \sqrt{30 	imes 10^5} = \sqrt{3 	imes 10^6}$$u_{rms} = 10^3 	imes \sqrt{3} \approx 1000 	imes 1.732 = 1732 \, ms^{-1}$

The density of a gas at $100 \, kPa$ pressure is $0.1 \, g \, dm^{-3}$. The root mean square speed of the gas in $ms^{-1}$ is:

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