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Distance and Displacement

The density o...

Question

The density of CO at 273 K and 1 atm is 1.2504 kg $m^{- 3}$ . Calculate
( a ) root mean square speed.
( b ) the average speed.
( c ) most probable speed.

U_{R M S} = 246.5 m / s, U_{m p} = 454.4 m / s, U_{a v} = 403 m / s

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U_{R M S} = 493 m / s, U_{m p} = 403 m / s, U_{a v} = 454.4 m / s

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U_{R M S} = 403 m / s, U_{m p} = 493 m / s, U_{a v} = 246.5 m / s

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None of these

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Solution

The correct option is B $U_{R M S} = 493 m / s, U_{m p} = 403 m / s, U_{a v} = 454.4 m / s$
(a) The RMS speed is $U_{R M S} = \sqrt{\frac{3 P}{d}} = \sqrt{\frac{3 \times 1.013 \times 10^{5} N / m^{2}}{1.2504}} = 493 m / s$
(b) The average speed is $U_{a v} = 0.9213 U_{R M S} = 0.9213 \times 493 = 454.4 m / s$
(c) The most probable speed is $U_{m p} = 0.816 \times U_{r m s} = 0.816 \times 493 = 403 m / s$

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Similar questions

A, B

C

(u_{r m s})

(u_{m p})

(u_{a v})

u_{r m s}, u_{M P}

u_{A V}

u_{m p} < u_{a v} < u_{r m s}

C O

K

a t m

k g

m^{- 3}

C O

273 K

1

1.2504 k g m^{- 3}

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