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12.Kinetic Theory of Gases
normal
At $0\,^oC,$ the value of the density of fixed mass of an ideal gas divided by its pressure is $x$ . At $100\,^oC$ this quotient is
A
$\frac{{100}}{{273}}\,x$
B
$\frac{{273}}{{100}}\,x$
C
$\frac{{273}}{{373}}\,x$
D
$x$
Solution
$\frac{P}{\rho}=\frac{R T}{M_{w}}=\frac{1}{x}(\text { Given })$
$\frac{\mathrm{R}(373)}{\mathrm{M}_{\mathrm{W}}}=\frac{1}{\mathrm{x}}$
$\frac{\mathrm{R}(373)}{\mathrm{M}_{\mathrm{W}}}=\frac{1}{\mathrm{x}_{2}} \therefore \mathrm{x}_{2}=\frac{273}{373} \mathrm{x}$
Standard 11
Physics