# Conversion of Units and Density

I have attached two problems involving density and unit conversion. Please include a complete explanation and all work in order for me to be able to do similar problems. Thank you for the assistance.

A loaded semi-truck consumes about 10 US gallons of diesel per hour (assuming an average speed of 60 mph) and is driven about 16 hours per day, every day of the year. The density of diesel id 0.85 kg/liter. If 1 barrel of crude oil produces 10 US gallons of diesel fuel. How many semi-trucks could run on the crude oil produced in the US in one year (1.8 x 109 barrels).

The density of a particular fluid is given by the following equation: ρ=64e^(7.9x〖10〗^(-7) P) where ρ is density in units [lbm/ft3] and P is pressure in units [lbf/in2, or psi - pounds per square inch"].

What are the units of 64 and 7.9x10-7?

For a pressure of 8.5x106 N/m2, what is the density in units [kg/liter]?

Rewrite the formula for ρ [kg/liter] as a function of P[N/m2]. Plug your answers from part b to check your answer.

https://brainmass.com/engineering/petroluem-refinery-engineering/conversion-units-density-451358

#### Solution Preview

I have attached the solution in a docx file. I will copy and paste it here, but it is better formatted in the docx file, if you can't open it let me know and i'll upload a pdf file.

First thing we want to know is how many gallons of diesel fuel each semi-truck consumes in one year.

What we know it "truck consumes about 10 US gallons of diesel per hour (assuming an average speed of 60 mph) and is driven about 16 hours per day, every day of the year"

10 gallons 16 hours 365 days

hour 1 day 1 year

So, we get (multiply 10*16*365 = ) 58400 gallons is the amount each truck ...

#### Solution Summary

This solution contains step-by-step calculations to determine how many semi-trucks run on crude oil, units of pressure and and formula manipulations.