To fill the volume of 187 u. s. fluid gallons at a rate of 1.7 g/min will take: 416215.8 min
To solve this problem the we have to do the conversion of units with the given information and the following formulas:
Where:
- x = distance
- t = time
- v = velocity
- v= volume
- d= density
- m= mass
Information about the problem:
- x ( volume capacity) = 187 u. s. fluid gallons
- v(fill rate) = 1.7 g/min
- d = 1000 kg/m³
- 1 u.s. fluid gallon = 231 in³
- t = ?
By converting the density unit from (kg/m³) to (g/in³)and then to (g/u.s. fluid gallon) we have:
d = 1000 kg/m³ * 1000 g/ 1 kg * 1 m³/61020 in³
d =16.380 g/in³ * 231 in³ /1 u.s. fluid gallon
d = 3783.78 g/u.s. fluid gallon
Applying the density formula and clearing the mass (m), we get:
m = d * v
m = 3783.78 g/u.s. fluid gallon * 187 u. s. fluid gallons
m = 707566.86 g
Applying the time formula we have that:
t = x/v
t = 707566.86 g / 1.7 g/min
t = 416215.8 min
What is unit conversion?
It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.
Learn more about unit conversion at: brainly.com/question/141163
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