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NEET 2008

Exam: NEET
Year: 2008
Subject: Physics
Chapter: Kinetic Theory of Gases

NEET 2008 · Physics · Kinetic Theory of Gases

At 10^ C the value of the density of a fixed mass of an ideal gas...

At

10^{\circ} \mathrm{C}

the value of the density of a fixed mass of an ideal gas divided by its pressure is

\mathrm{x}

. At

110^{\circ} \mathrm{C}

this ratio is

Options

A $\frac{283}{383} x$
B $\mathrm{x}$
C $\frac{383}{283} x$
D $\frac{10}{110} x$

Correct answer

A. $\frac{283}{383} x$

Step-by-step solution

\begin{aligned}P V & =n R T \\ & \Rightarrow P \cdot \frac{m}{\rho}=\frac{m}{M}R T \\ & \Rightarrow \frac{\left(\frac{\rho}{P}\right)_f}{\left(\frac{\rho}{P}\right)_i}=\frac{T_i}{T_f}=\frac{10+273}{110+273}=\frac{283}{383}\\ & \Rightarrow \frac{\left(\frac{\rho}{P}\right)_f}{x}=\frac{283}{383}\\ & \therefore\left(\frac{\rho}{P}\right)_f=\frac{283}{383}x \end{aligned}

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