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Mechanical Properties Of Fluids

Question

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Find the rms velocity of the molecules of gas of density 1.67kg/m³ at 2 atmospheric pressure. [Take 1 atm=10⁵ N/m².]

Solution

Given,
Density of gas,

ρ

= 1.67 kg/m³
Pressure, P = 2 atm = 2

\times 10^{5} N / m^{2}

R.M.S velocity of molecules = ?

v_{r} = \sqrt{\frac{3 P}{ρ}} = \sqrt{\frac{3 \times 2 \times 10^{5}}{1.67}} = 600 m / s

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