Assume it takes 10.0 minutes tofill a 10.0 gal gasoline tank. (1 U.S.gal = 231 i

Question

Assume it takes 10.0 minutes tofill a 10.0 gal gasoline tank. (1 U.S.gal = 231 in.3) (a) Calculate the rate at which the tank is filled in gallonsper second. _______________ gal/s
b) Calculate the rate at which the tank is filled in cubicmeters per second.
-------------------- m3/s
c) Determine the time interval, in hours, required to fill a 1m3 volume at the same rate. ---------------------- h
Assume it takes 10.0 minutes tofill a 10.0 gal gasoline tank. (1 U.S.gal = 231 in.3) (a) Calculate the rate at which the tank is filled in gallonsper second. _______________ gal/s
b) Calculate the rate at which the tank is filled in cubicmeters per second.
-------------------- m3/s
c) Determine the time interval, in hours, required to fill a 1m3 volume at the same rate. ---------------------- h

Explanation / Answer

Volume (V) of gasoline tank = 10.0 gal                                            = (10.0)(231 in3)         = 2310 in3          We know that 1 in = 0.025 4 m Then volume (V) of tank = (2310)(0.0254m)3       = 0.03785411784 m3 Time taken to fill the tank is t = 10.0 min                                            = (10.0)(60s) = 600 s (a) Volume rate is V/t = (10.0gal) / (600s)                             = 0.0167 gal/s (b) Volume rate is V/ t = (0.03785411784 m3) / (600s)                             = 0.0000630901964 m3/s (c) Since volume rate = 0.0000630901964 m3/s And volume (V) = 1m3 Then V / t = 0.0000630901964 m3/s           t =(1m3) / (0.0000630901964 m3/s)             = 15850.3 s             = 4.403 hrs

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