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  • Find out the number of molecules in ages of volume  at a pressure of

Find out the number of molecules in ages of volume 20 \mathrm{~cm}^{3} at a pressure of 76 \mathrm{~cm} of mercury, and at 27^{\circ} \mathrm{C}. Given, average molecular kinetic energy at 27^{\circ} \mathrm{C}=2 \times 10^{-14} \mathrm{erg}.

Option: 1

1.52


Option: 2

1.52 \times 10^{21}


Option: 3

1.53


Option: 4

1.53 \times 10


Answers (1)

best_answer

Pressure of gas,

p=\frac{1}{3} p c^{2}=\frac{1}{3} \frac{m}{v} c^{2}

M is mass of molecules and N is number of molecules.

\begin{aligned} & \text { or } N=\frac{3 p v}{m c^{2}}=\frac{3 p}{2 \times \frac{1}{2} m c^{2}} \\ \end{aligned}

Also, average molecular kinetic energy is =\frac{1}{2} m c^{2}=2 \times 10^{-14} \mathrm{erg}

\begin{aligned} & =\frac{3 \times(76 \times 13.6 \times 980) \times 20}{2 \times\left(2 \times 10^{-14}\right)} \\ & =1.52 \times 10^{24} \end{aligned}

Posted by

Ajit Kumar Dubey

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