Assume it takes 7.00 minutes to fill a 30.0 gal gas tank. (a) Calculate the rate at which the tank is filled in gallons per second. (b) Determine the rate at which the tank is filled in cubic meters per second. (c) Determine the time interval, in hours, required to fill a 1.00 m^3 volume at the same rate. (1 US gal = 231 in.^3)

Question

Physics

Waller

16 January, 14:10

Assume it takes 7.00 minutes to fill a 30.0 gal gas tank. (a) Calculate the rate at which the tank is filled in gallons per second. (b) Determine the rate at which the tank is filled in cubic meters per second. (c) Determine the time interval, in hours, required to fill a 1.00 m^3 volume at the same rate. (1 US gal = 231 in.^3)

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Diamond · Answer 1

A)

R1 = 30 / (7*60)

We are multiplying 7 with 60 because there are 60 seconds in 1 minute.

R1 = 30/420 = 0.0714 gallons/second

b) For this we need to express gallons to cubic meters.

1 gallon = 0.003785 m^3

R2 = 0.0714*0.003785 = 0.00027 m^3/s

c) V = R2*t where V is volume of some tank.

which means that

t=V/R2

t = 3698.8s or

t = 1.0274 hours