High School

A cylindrical tank initially containing a certain mass of liquid is drained through a duct. The liquid flows out of the tank with a mass flow rate of [tex]\text{kg/min}[/tex], where [tex]m[/tex] is the mass of fluid remaining in the tank. Determine the time, in minutes, when 122 kg of fluid remain in the tank.

Answer :

Final answer:

To determine the time when 122 kg of fluid remain in the tank, we can use the equation for mass of fluid remaining and solve for time.

Explanation:

To find the time when 122 kg of fluid remain in the tank, we need to determine the time it takes for the tank's mass to decrease to 122 kg. We can use the equation:

mass of fluid remaining = initial mass - (mass flow rate * time)

Substituting the given values, the equation becomes:

122 = kg - ( kg/min * time)

Now we can solve for time. Rearranging the equation:

time = (kg - 122 kg) / kg/min

By simplifying, we get:

time = (kg - 122 kg) / kg/min

Therefore, the time taken when 122 kg of fluid remain in the tank can be calculated using this formula.

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