Calculate the density of standard air in a laboratory from the ideal gas equation of state. Estimate the experimental uncertainty in the air density calculated for standard conditions (29.9 in. of mercury and \(59^{\circ} \mathrm{F}\) ) if the uncertainty in measuring the barometer height is \(\pm 0.1\) in. of mercury and the uncertainty in measuring temperature is \(\pm 0.5^{\circ} \mathrm{F}\).