When a certain ideal gas thermometer is dipped in water boiling at atmospheric pressure, the mercury level in the right \(\mathrm{arm}\) is \(1279 \mathrm{~mm}\) above the reference mark. When the thermometer is removed from the water and allowed to reach room temperature, the mercury level drops by \(267 \mathrm{~mm}\).

(a) What is the room temperature in degrees Celsius? 

\((b)\) Is your answer to part \(a\) a reasonable temperature for a room?