While filling up your car with gasoline, you notice that it takes 3 minutes to dispense 50 liters of gasoline.What is the mass flow rate if water has a density of and gasoline has a specific gravity of 0.72?
A)2 kg/s
B)0.2 kg/s
C)20 kg/s
D)200 kg/s

Question

While filling up your car with gasoline, you notice that it takes 3 minutes to dispense 50 liters of gasoline.What is the mass flow rate if water has a density of  and gasoline has a specific gravity of 0.72?
A)2 kg/s 
B)0.2 kg/s 
C)20 kg/s 
D)200 kg/s

Quizplus · Accepted Answer

We can start by using the formula: mass flow rate = density x volume flow rate.
We know the volume flow rate of gasoline is 50 L/3 min = 16.67 L/min.
Converting to SI units, we get 0.01667 m^3/min.
To find the density of gasoline, we use the specific gravity formula: 
specific gravity = density of substance / density of water. 
Rearranging, we get: 
density of substance = specific gravity x density of water.
Plugging in the values, we get: 
density of gasoline = 0.72 x 1000 kg/m^3 = 720 kg/m^3.
Now we can calculate the mass flow rate: 
mass flow rate = 720 kg/m^3 x 0.01667 m^3/min x 1 min/60 s = 0.2 kg/s.
Therefore the answer is B, 0.2 kg/s.

While Filling Up Your Car with Gasoline, You Notice That