Final answer:
The atmospheric pressure on Mt. Everest can be estimated by the boiling point of water. The exact pressure for a boiling point of 68°C requires a detailed reference graph or equation, but is known to be much lower than the standard 1 atm at sea level.
Step-by-step explanation:
The atmospheric pressure on top of Mt. Everest can be estimated using the boiling point of water, as the boiling point decreases with a reduction in atmospheric pressure. On a day when water boils at a temperature of 68 degrees Celsius (which is close to the provided information of 70.0°C), the atmospheric pressure can be inferred using published tables or graphs that relate the boiling point of water to atmospheric pressure.
Unfortunately, we do not have a direct table or graph reference in this context, but we do know from standard reference information that the normal boiling point of water is 100 degrees Celsius at 1 atmosphere (atm) of pressure. As the boiling point of water on top of Mount Everest is significantly lower, this implies that the atmospheric pressure is likewise lower than 1 atm.
According to the provided information, the normal barometric pressure at the altitude of Mt. Everest is about 0.308 atm, and an example is given where the boiling point of water at a pressure of 500 torr (which is equivalent to approximately 0.658 atm) is relevant.
However, to determine the exact atmospheric pressure corresponding to a boiling point of 68°C (or 70.0°C), one would need to consult a detailed boiling point versus pressure graph or use an equation derived from such data.