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1 barrel= 42 gallons

1 gallon = 3.785 liters

=> 6,000,000 btu / barrel * 42 gallons/barrel * 3.785 liter/gallon = 953,820,000 btu

Answer: 953,820,000 btu

There are approximately  4 × 10⁴ BTU per liter of crude oil.

Further Explanation

BTU is a measure of energy. It is like the  unit calorie. It is a measure of the amount of energy needed to increase the temperature of one pound of water by one degree Fahrenheit

This is a simple dimensional analysis problem. To solve the problem, we first sort the given to get the following relationships:

1 barrel = 6,000,000 BTUs

1 L = ? BTU

In order to get the desired quantity, the conversion from barrel to liters must be known. The relationship is 1 barrel = 159 L.

With these information, we can set up the dimensional analysis as shown below:

[tex]BTU \ per \ liter \ = \frac{6 \times \ 10^6 BTU}{1 \ barrel} \times \frac{1 \ barrel}{159 \ L}\\\\\boxed {BTU \ per \ liter \ = 37,735.85 \ \frac{BTU}{L}}[/tex]

Since the given only has one significant digit, the final answer must also have one. Therefore, rounding off to one significant figure. the final answer is:

[tex]\boxed {\boxed {BTU = 4 \times \ 10^4 \ \frac{BTU}{L}}}[/tex]

Learn More

  1. Learn more about unit conversion https://brainly.com/question/3764212
  2. Learn more about dimensional analysis brainly.com/question/1557970

Keywords: barrel, BTU, L