Hi this is chemical engineering princiles course problem : The specific gravity

Question

Hi this is chemical engineering princiles course problem :

The specific gravity of gasoline is approximately 0.70. Determine the mass (kg) of 50.0 liters of gasoline. the mass flow rate of gasoline exiting a refinery tank is 1150 kg/min. Estimate the volumetric flow rate in liters/s. Estimate the average mass flow rate (lbm/min) delivered by a gasoline pump. Gasoline and kerosene (specific gravity = 0 82) are blended to obtain a mixture with a specific gravity of 0.78. Calculate the volumetric ratio (volume of gasoline/volume of kerosene)of the two compounds in the mixture, assuming Vblend = Vgasoline + Vkerosene

Explanation / Answer

0.70 specific gravity => density of 0.70 g/mL

a) 50 L *(1000 mL/L)*(0.70 g/mL) *(1 kg/1000g) = 35 kg
b) 1150 kg/min *(1000 g/ 1kg )*(1 mL/0.70 g) *(1 L/1000 mL) *(1min/60s) = 27.38 L/s ~ 27 L/s
c) 1150 kg/min *(1lb/ 0.45359237 kg) = 2532 lb/min

d)
Vblended*0.78 = Vgasoline*0.70 + Vkerosene*0.82
Vblended = Vgasoline + Vkerosene

0.78*(Vgasoline + Vkerosene) = Vgasoline*0.70 + Vkerosene*0.82
0.08 *Vgasoline = 0.04*Vkerosene

Vgasoline/Vkerosene = 0.04/0.08 = 0.5

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