Answer:
The smaller number in pounds per gallon is 3.59 × 10⁻⁴ pounds/gallon
The larger number in pounds per gallon is 1.72 × 10⁻³ pounds/gallon
Explanation:
For the smaller number in the range in pounds per gallon (pounds/gallon),
The smaller number in the range is 4.3 mg per dL
First, we will convert 4.3 mg to pounds
(NOTE: 1 g = 0.00220462 pound)
Then, for 4.3 mg in pounds
4.3 mg = 4.3 × 10⁻³ g = 0.0043 g
Now, If 1 g = 0.00220462 pound
Then, 0.0043 g =
(0.0043 × 0.00220462) pound = 9.48 × 10⁻⁶ pound
Also, we will convert dL to gallon
(NOTE: 1L = 0.264172 gallon)
Then, 1 dL = 0.0264172 gallon
Hence, 4.3 mg per dL is 9.48 × 10⁻⁶ pound / 0.0264172 gallon
= 3.59 × 10⁻⁴ pounds/gallon
Hence, the smaller number in pounds/gallon is 3.59 × 10⁻⁴ pounds/gallon
Now, for the larger number in the range in pounds per gallon (pounds/gallon),
The larger number in the range is 20.6 mg per dL
First, convert 20.6 mg to pounds
20.6 mg = 20.6 × 10⁻³ g = 0.0206 g
If 1 g = 0.00220462 pound
Then, 0.0206 g =
(0.0206 × 0.00220462) pound = 4.54 × 10⁻⁵ pound
Recall that, 1 dL = 0.0264172 gallon
Then, 20.6 mg per dL is 4.54 × 10⁻⁵ pound / 0.0264172 gallon
= 1.72 × 10⁻³ pounds/gallon
Hence, the larger number in pounds per gallon is 1.72 × 10⁻³ pounds/gallon
