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Pressure vs Velocity

The density o...

Question

The density of an ideal gas is $6 \times 10^{- 2} {kg/m}^{3}$ and the root mean square velocity of the gas molecules is $500 m/s$ . The pressure exerted by the gas on the walls of the vessel is

5 \times 10^{3} {N/m}^{2}

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1.2 \times 10^{- 4} {N/m}^{2}

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0.75 \times 10^{- 4} {N/m}^{2}

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40 {N/m}^{2}

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Solution

The correct option is A $5 \times 10^{3} {N/m}^{2}$
We know that
Pressure $P = \frac{1}{3} ρ v_{rms}^{2}$
Where $ρ =$ density of gas
$\Rightarrow P = \frac{1}{3} \times 6 \times 10^{- 2} \times 500^{2}$
$= 5000 {N/m}^{2}$
$= 5 \times 10^{3} {N/m}^{2}$

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Pressure vs Velocity

Standard XII Physics

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The density of an ideal gas is 6×10−2 kg/m3 and the root mean square velocity of the gas molecules is 500 m/s. The pressure exerted by the gas on the walls of the vessel is

The correct option is A 5×103 N/m2We know that Pressure P=13ρv2 rms Where ρ= density of gas ⇒P=13×6×10−2×5002 =5000 N/m2 =5×103 N/m2

The density of an ideal gas is $6 \times 10^{- 2} {kg/m}^{3}$ and the root mean square velocity of the gas molecules is $500 m/s$ . The pressure exerted by the gas on the walls of the vessel is

The correct option is A $5 \times 10^{3} {N/m}^{2}$
We know that
Pressure $P = \frac{1}{3} ρ v_{rms}^{2}$
Where $ρ =$ density of gas
$\Rightarrow P = \frac{1}{3} \times 6 \times 10^{- 2} \times 500^{2}$
$= 5000 {N/m}^{2}$
$= 5 \times 10^{3} {N/m}^{2}$