Suppose that it takes exactly 17.0 hr to drain a container of 6.20 liters of water. What is the average mass flow rate (in kilograms/second) of water from the container? Assume that the density (mass/volume) of water is exactly 1 g/cm^3.

Answer 1

Relationships or information needed:

Density of water=1g/cm^3
3,600s=1hr
1L=1 m^3=10^3 cm^3
1kg=10^3g

Solve for seconds in 17hr:

17hr*(3600s/1hr)=seconds

6.20L*(1 m^3/1L)*(10^3 cm^3/1m^3)=6.20 x 10^3 cm^3

Solve for mass of water:

Density=mass/volume

So, density*volume=mass

(1g/cm^3)*(6.20 x 10^3 cm^3)=mass of water

Solve for mass flow rate:

mass flow rate=mass of water/seconds