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  • The average kinetic energy of a molecule in a 8 as at STP in <img alt="5.6 \times 10^{-14} \mathrm{erg}" src="https://entrancecorner.oncodecogs.com/gif.latex?5.6%20%5Ctimes%2010%5E%7B-14%7D%20

The average kinetic energy of a molecule in a 8 as at STP in 5.6 \times 10^{-14} \mathrm{erg}. Find out the number of molecules per volume of the 8 as. Given, density of mercury =13.68 . \mathrm{cm}^{-3}.

Option: 1

2.71


Option: 2

2.71 \times 10^{19}


Option: 3

2.71 \times 10


Option: 4

1.71 \times 10


Answers (1)

best_answer

Pressure of gas, P 

=\frac{2}{3} \timesenergy of gas molecules per unit volume.

=\frac{2}{3} \timesN x average kinetic energy of 1 molecule where N is number of molecules per unit volume of the gas.

\begin{aligned} & \therefore N=\frac{3 P}{2 \times \text { Average Kine tic ever } 84 \text { of } T \text { Molecule }} \\ & =\frac{3 \times(76 \times 13.6 \times 980)}{2 \times\left(5.6 \times 10^{-14}\right)}=2.71 \times 10^{19} . \end{aligned}

 

 

Posted by

Anam Khan

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