A crude oil storage tank initially contains 1000 of crude oil. Oil is pumped into the tank through a pipe at a rate of 2 and out of the tank at a velocity of 1.5 m/s through another pipe having a diameter of 0.15m. The crude oil has a specific volume of 0.0015 . Determine:a) The mass of oil in the tank, in kg, after 24 hoursb) The volume of oil in the tank, in , at that time

This question is incomplete, the complete question is;

A crude oil storage tank initially contains 1000 m³ of crude oil. Oil is pumped into the tank through a pipe at a rate of 2 m³/min and out of the tank at a velocity of 1.5 m/s through another pipe having a diameter of 0.15m. The crude oil has a specific volume of 0.0015 m³/kg .

Determine : a) The mass of oil in the tank, in kg, after 24 hours b) The volume of oil in the tank, in m³, at that time ( after 24hrs )  

a) The mass of oil in the tank after 24hrs is 1059852.6667 kg  

b) The volume of oil in the tank, in m³, at that time is 1589.779 m³

Explanation:

Given that;

volume of tank v = 1000 m³

Discharge  (AV)₁ = 2 m³/min

specific volume (v) = 0.0015 m³/kg

a)

for one inlet, one exit control volume, we have]

d(mc)/dt = "m - "m

"m  = (AV)₁  / v

"m  = 2 / 0.0015

"m = 1333.33 kg/min = ( 1333.33 kg/min × 60 ) = 80,000 kg/hr

"m =  AV₂/v

AREA A = πr² = π(0.15m/2)²

so

"m =  ( π(0.15m/2)² × 1.5 m/s ) / 0.0015m³/kg

"m = 17.6714 kg/s = (17.6714 kg/s × 60 × 60 ) = 63,617.25 kg/hr

 d(m)/dt = 80000 - 63,617.25 =  16382.75 kg/hr

now after 24 hours, the mass of the crude oil tank is;

mc( 24 ) = ( 16382.75 × 24 ) + mass initially contained

so initial mass m = volume / specific volume

initial mass m = V / v = 1000 / 0.0015 = 666,666.6667 kg

Total mass = m + mc

Total mass = 666,666.6667 kg + (16382.75 × 24)  

Total mass = 1059852.6667 kg  

Therefore, The mass of oil in the tank after 24hrs is 1059852.6667 kg  

b)

Volume will be;

V = total mass × density

V = 1059852.6667 kg  × 0.0015 m³/kg

V = 1589.779 m³

Therefore, The volume of oil in the tank, in m³, at that time is 1589.779 m³

the focus of lesson 1 is newton's first law of motion - sometimes referred to as the law of inertia. newton's first law of motion is often stated as. an object at rest stays at rest and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force.

explanation: