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Q.

The density of carbon dioxide gas at 0°C and at a pressure of 1.0×105  newton/metre2 is 1.98  kg/m3. Take Pressure as constant. Find the root mean square velocity of its molecules in m/s at 0°C.

533=0.389

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answer is 389.

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Detailed Solution

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We know that P=13ρv¯2

∴vrms=(3Pρ)1/2

Given that ρ=1.98  kg/m3 and P=1.0×105  N/m2

∴vrms=3×1.0×1051.98

∴vrms=389  m/s

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