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Question

The pressure needed to confine 1.5 mol of N2 molecules to 28 L flask is 1.0 bar. Thus, root mean square velocity of the gas (assuming ideal behaviour) is

A
370 m s1
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B
200 m s1
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C
51.5 m s1
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D
37.0 m s1
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Solution

The correct option is B 200 m s1
The given quantities in the question are P = 1 bar =105 Pa, 1 L=1×103m3, 1 g=1×103 kg

As urms=3RTM
(using PV=nRT)

urms=3PVnM=3×105 Pa×28×103 m31.5×28×103 kg=0.2×106=0.2×103
=447 m s1 (all data in SI units).

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