To convert the pressure in the tank from atmospheres (atm) to pounds per square inch (lb/in²), we need to use the conversion factor between these units.
1 atmosphere (atm) is equivalent to 14.696 pounds per square inch (lb/in²).
Here are the steps to perform the conversion:
1. Identify the initial pressure in atmospheres:
The given pressure in the tank is [tex]\( 2.50 \)[/tex] atm.
2. Use the conversion factor to change atmospheres to pounds per square inch:
The conversion factor is [tex]\( 1 \)[/tex] atm = [tex]\( 14.696 \)[/tex] lb/in².
To convert the given pressure to lb/in²:
[tex]\[
\text{Pressure in lb/in²} = \text{Pressure in atm} \times \text{Conversion factor}
\][/tex]
Substituting the known values:
[tex]\[
\text{Pressure in lb/in²} = 2.50 \, \text{atm} \times 14.696 \, \frac{\text{lb}}{\text{in}^2}
\][/tex]
3. Calculate the result:
[tex]\[
\text{Pressure in lb/in²} = 2.50 \times 14.696 = 36.74 \, \text{lb/in}^2
\][/tex]
Hence, the pressure in the tank is [tex]\( 36.74 \)[/tex] lb/in², rounded to three significant figures.
