While filling up your car with gasoline, you notice that it takes 2 minutes to dispense 15 gallons of gasoline. What is the mass flow rate if water has a density of 1000 kg/m3 and gasoline has a specific gravity of 0.72?Group of answer choices3.4 kg/s0.34 kg/s54 kg/s5400 kg/s

To solve this problem, we need to follow these steps:

1. First, we need to find the volume flow rate of the gasoline. We know that it takes 2 minutes to dispense 15 gallons of gasoline. So, the volume flow rate is 15 gallons/2 minutes = 7.5 gallons/minute.

2. Next, we need to convert this flow rate to a standard unit. We know that 1 gallon is approximately 0.00378541 cubic meters, so the volume flow rate is 7.5 gallons/minute * 0.00378541 m3/gallon = 0.028390575 m3/minute.

3. We also need to convert the time from minutes to seconds, so the volume flow rate is 0.028390575 m3/minute * 1 minute/60 seconds = 0.00047317625 m3/second.

4. Now, we need to find the mass flow rate. We know that the specific gravity of gasoline is 0.72, and the density of water is 1000 kg/m3. The density of the gasoline is therefore 0.72 * 1000 kg/m3 = 720 kg/m3.

5. Finally, we can find the mass flow rate by multiplying the volume flow rate by the density of the gasoline. The mass flow rate is 0.00047317625 m3/second * 720 kg/m3 = 0.34060674 kg/second.

So, the mass flow rate of the gasoline is approximately 0.34 kg/s.