A refinery receives 4.23434x10^4 m3/h of crude oil. After the distillation process roughly 4.76216x10^1 % of the crude is converted to miltitary aviation fuel (JP4). What is the amount of JP4 produced in a day in L, expressed to 4 significant figures?
Ah, so we have quite the mathematical conundrum here, don't we? Let's break it down step by step.
First, we need to convert the crude oil flow rate from m³/h to L/day. There are approximately 24 hours in a day, so:
4.23434 x 10^4 m³/h * (24 h/1 day) = 1.0164 x 10^6 m³/day
Next, we use the conversion rate to calculate the volume of JP4 produced. We'll use the percentage, converting it to a decimal by dividing it by 100:
1.0164 x 10^6 m³/day * (4.76216 x 10^-1) = 4.844 x 10^5 m³/day
Lastly, we just need to convert the volume from m³/day to L/day. Since 1 m³ is equal to 1000 L:
4.844 x 10^5 m³/day * (1000 L/1 m³) = 4.844 x 10^8 L/day
So, my friend, the amount of JP4 produced in a day is approximately 4.844 x 10^8 L, expressed to 4 significant figures. I hope that brings a little fuel to your day!
To find the amount of JP4 produced in a day, we need to multiply the amount of crude oil received by the fraction that is converted to JP4.
First, let's convert the crude oil flow rate from m^3/h to L/day:
1 m^3 = 1000 L
1 h = 24 hours
Therefore, the crude oil flow rate in L/day is:
4.23434 x 10^4 m^3/h * (1000 L/1 m^3) * (24 hours/1 day) = 1.0172064 x 10^9 L/day
Now let's calculate the amount of JP4 produced:
JP4 produced = crude oil flow rate * conversion fraction
JP4 produced = 1.0172064 x 10^9 L/day * (4.76216 x 10^-1) = 4.85068328 x 10^8 L/day
Expressing this number to 4 significant figures, we get:
JP4 produced = 4.851 x 10^8 L/day
To find the amount of JP4 produced in a day, we need to convert the crude oil flow rate from m3/h to L/day, and then calculate the amount of JP4 produced based on the conversion percentage.
Step 1: Convert the crude oil flow rate from m3/h to L/day.
1 m3/h = 1000 L/h
1 day = 24 hours
Let's calculate the crude oil flow rate in L/day:
4.23434 x 10^4 m3/h * (1000 L/h) * (24 hours/day) = 1.0164 x 10^9 L/day
Step 2: Calculate the amount of JP4 produced based on the conversion percentage.
To find the amount of JP4 produced, we need to multiply the crude oil flow rate by the conversion percentage (4.76216 x 10^-1 %) expressed as a decimal (0.0476216).
JP4 produced = 1.0164 x 10^9 L/day * 0.0476216 = 4.8396 x 10^7 L/day
Step 3: Express the final result to 4 significant figures.
4.8396 x 10^7 can be expressed as 48.40 x 10^6 or simply 48.40 million.
Therefore, the amount of JP4 produced in a day in L, expressed to 4 significant figures, is approximately 48.40 million L/day.