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12.Kinetic Theory of Gases
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દબાણ $P$ અને તાપમાન $T$ એ આદર્શ વાયુનું કદ $V$ છે. દરેક પરમાણુનું દળ $m$ છે. વાયુની ઘનતા શું થશે? ($k$ એ બોલ્ટઝમેન અચળાંક)

A

$mkT$

B

$\frac{{Pm}}{{kT}}$

C

$\frac{P}{{kTV}}$

D

$\frac{P}{{kT}}$

Solution

We know that $P V=n R T=(m / M) R T$

Where $M=$ Molecular weight

Now $P \times\left(\frac{m}{d}\right)=\left(\frac{m}{M}\right) R T$

where $d=$ density of gas

$\frac{p}{d}=\frac{R T}{M}=\frac{k N_A T}{M}$

Where $R=k N_A, k$ is Boltzmann constant

But $\frac{M}{N_A}= m =$ mass of each molecule so

$So , d=\frac{P \times m}{k T}$

Standard 11
Physics

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