Question

At 0⁰C, the value of the density of a fixed mass of an ideal gas divided by its pressure is x. At 100°C, this quotient is -

• A. $\frac{100}{273}$x
• B. $\frac{273}{100}$x
• C. $\frac{273}{373}$x
• D. $\frac{373}{273}$x

Answer 1

Answer: (C)

$\frac{273}{373}$x

Answer 2

P = r $\frac{RT}{M_{w}}$

$\frac{\rho}{P}$= $\frac{M_{w}}{RT}$

$\left( \frac{\rho}{P} \right)_{0{^\circ}C}$= $\frac{M_{w}}{R \times 273}$= x

$\left( \frac{\rho}{P} \right)_{100{^\circ}C}$ = $\frac{M_{w}}{R \times 373}$= $\frac{273}{373}$x