If 29.92 HG = 14.7 PSIA, then how many PSIA corresponds to 26" HG?

To determine how many PSIA corresponds to 26 inches of mercury (Hg), it is essential to understand the relationship between pressure in inches of mercury and pounds per square inch absolute (PSIA). The standard atmospheric pressure is defined as 29.92 inches of mercury being equal to 14.7 PSIA.

To convert from inches of mercury to PSIA, you can use a ratio based on the known values. The conversion factor from inches of mercury to PSIA at standard conditions can be calculated as follows:

1. Determine the conversion rate:

• Since 29.92 inches corresponds to 14.7 PSIA, we can set up a direct proportion.

2. Set up the calculation for 26 inches of mercury:

• First, calculate the fraction of the standard atmospheric pressure represented by 26 inches:

[

\text{Fraction} = \frac{26 \text{ inHg}}{29.92 \text{ inHg}} \approx 0.869

]

3. Then, multiply this fraction by the equivalent PSIA:

[

\text{PSIA} = 0.869 \times 14.7 \text{ PSIA} \approx