A tank holds 55 gallons of water, which drains from a leak at the bottom, causing the tank to empty in 24 minutes. The tank drains faster when it is nearly full, because the pressure on the leak is greater. Toricelli's Law gives the volume of water remaining in the tank after t minutes as follows. V(t) = 55(1-2) ² 0 st≤ 24 (a) Find V(0) and V(24). V(0) = V(24) = (b) What do your answers to part (a) represent? V(0) represents the O initial volume O final volume V(24) represents the O initial volume O final volume

Introductory Chemistry For Today
8th Edition
ISBN:9781285644561
Author:Seager
Publisher:Seager
Chapter7: Solutions And Colloids
Section: Chapter Questions
Problem 7.86E
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A tank holds 55 gallons of water, which drains from a leak at the bottom, causing the tank to empty in 24 minutes. The tank drains faster when it is nearly full, because the pressure on the leak is
greater. Toricelli's Law gives the volume of water remaining in the tank after t minutes as follows.
V(t)
=
t
2
55(1 – £²
24
(a) Find V(0) and V(24).
V(0)
V(24) =
=
0 ≤ t ≤ 24
(b) What do your answers to part (a) represent?
V(0) represents the
O initial volume
O final volume
V(24) represents the
O initial volume
O final volume
Transcribed Image Text:A tank holds 55 gallons of water, which drains from a leak at the bottom, causing the tank to empty in 24 minutes. The tank drains faster when it is nearly full, because the pressure on the leak is greater. Toricelli's Law gives the volume of water remaining in the tank after t minutes as follows. V(t) = t 2 55(1 – £² 24 (a) Find V(0) and V(24). V(0) V(24) = = 0 ≤ t ≤ 24 (b) What do your answers to part (a) represent? V(0) represents the O initial volume O final volume V(24) represents the O initial volume O final volume
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