Question

the atmospheric pressure at the summit of denali in alaska was measured at 613 mm hg on a certain day. what is this pressure in atmospheres? report your answer with the correct number of significant figures.

Explanation:

Step1: Recall the conversion factor

We know that 1 atmosphere (atm) is equal to 760 mm Hg. So the conversion factor is $\frac{1\ atm}{760\ mm\ Hg}$.

Step2: Set up the conversion

To convert 613 mm Hg to atmospheres, we multiply the given pressure by the conversion factor: $613\ mm\ Hg\times\frac{1\ atm}{760\ mm\ Hg}$.

Step3: Perform the calculation

$613\div760 = 0.8065789\cdots$

Step4: Determine significant figures

The given value 613 mm Hg has three significant figures, so our answer should also have three significant figures. Rounding 0.8065789 to three significant figures gives 0.807.

Answer:

0.807 atm