Question

Under 3atm , 12.5 litre of a certain gas weigh 15g. Calculate the average speed of gaseous molecules.

Answer 1

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Answer 2

The average speed of gaseous molecules is 80 m/s

Explanation:

$PV=\frac{mRT}{M}$

$3atm\times 12.5L=\frac{15g\times R\times T}{M}$

$M=\frac{15g\times R\times T}{37.5Latm}$

The formula for average speed is  :

$\nu_{av}=\sqrt{\frac{8RT}{\pi M}}$

where,

R = gas constant  

T = temperature  

M = Molecular Mass

Now putting all the values:

$\nu_{av}=\sqrt{\frac{8RT\times 37.5}{\pi \times 15\times 10^{-3}\times R\times T}}$

$\nu_{av}=\sqrt{\frac{8RT\times 37.5}{3.14 \times 15\times 10^{-3}\timesR\times T}}$

$\nu_{av}=80m/s$

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