Problem $(1)$: A manometer is used to measure the pressure of an ideal gas of density $(r)$ at room temperature $(25C).$ The specific gravity of the manometric fluid is $(S),$ the difference between the two sides of the manometer is $(h),$ and the ideal gas constant is $(R).$

Given the values of $S[-],R[\frac{J}{k}g*K],$ and $r[\frac{kg}{m^3}],$ calculate $h[cm].$

$S=12\mathrm{.}069$

$R=298\mathrm{.}439\frac{J}{k}g{a}^{Tm}K$

$r=2\mathrm{.}057k\frac{g}{m^3}$

Ansurs

$56\mathrm{.}558$ cm

$69\mathrm{.}361$ cm

$89\mathrm{.}152$ cm

$96\mathrm{.}184$ cm