Question

question 9
convert 740mm of mercury (hg) into atmospheres (atm).

Explanation:

Step1: Recall the conversion factor

We know that \( 1\,\text{atm} = 760\,\text{mm Hg} \). So the conversion factor to convert from mm Hg to atm is \( \frac{1\,\text{atm}}{760\,\text{mm Hg}} \).

Step2: Perform the conversion

We have \( 740\,\text{mm Hg} \) and we multiply it by the conversion factor:

$$ 740\,\text{mm Hg} \times \frac{1\,\text{atm}}{760\,\text{mm Hg}} = \frac{740}{760}\,\text{atm} $$

Simplifying the fraction \( \frac{740}{760} \), we divide numerator and denominator by 20: \( \frac{37}{38} \approx 0.9737\,\text{atm} \).

Answer:

\( \approx 0.974\,\text{atm} \) (or more precisely \( \frac{37}{38}\,\text{atm} \approx 0.9737\,\text{atm} \))