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2. Brine containing 3 lb/gal of salt enters a large tank at the rate of 2 gal/min and the mixture well stirred leaves at 1.5 gal/min. If the tank contains initially 100 gal of water, with 4 lb of dissolved salt. Find the amount of salt in the tank (a) at any time t in minutes, and (b) after 4 minutes. Given: Find: (a) xt V = 100 gal T₁ = 2 gal/min To = 1.5 gal/min x = 20 kg C₁ = 3 lb/gal C₂ =? (b) x10 Solution: V = V₂ + (ri-ro)t V = 100 +(2-1.5)t V = 100+ 0.5 t dx dt=₁C₁-roCo dx dt dx dt dx dt dx X = (2) (3) − (1.5) (100 + 0.5 t) - = 6- 1.5 x L0.5(100+ t). 3x = 6 200 + t -6 3x C₁ = = Co Co = x 100+0.5 t

2. Brine containing 3 lb/gal of salt enters a large tank at the rate of 2 gal/min and the mixture well stirred leaves at 1.5 gal/min. If the tank contains initially 100 gal of water, with 4 lb of dissolved salt. Find the amount of salt in the tank (a) at any time t in minutes, and (b) after 4 minutes. Given: Find: (a) xt V = 100 gal T₁ = 2 gal/min To = 1.5 gal/min x = 20 kg C₁ = 3 lb/gal C₂ =? (b) x10 Solution: V = V₂ + (ri-ro)t V = 100 +(2-1.5)t V = 100+ 0.5 t dx dt=₁C₁-roCo dx dt dx dt dx dt dx X = (2) (3) − (1.5) (100 + 0.5 t) - = 6- 1.5 x L0.5(100+ t). 3x = 6 200 + t -6 3x C₁ = = Co Co = x 100+0.5 t

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.CR: Review Exercises
Problem 14CR: a For the through in the shape of half-cylinder, find the volume of water it will hold Use 3.14 and...
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2. Brine containing 3 lb/gal of salt enters a large tank at the rate of 2 gal/min and the mixture well stirred leaves at 1.5 gal/min. If the tank contains initially 100 gal of water, with 4 lb of dissolved salt. Find the amount of salt in the tank (a) at any time t in minutes, and (b) after 4 minutes. Given: Find: V = 100 gal r₁ = 2 gal/min To = 1.5 gal/min (a) xt x = 20 kg C₁ = 3 lb/gal Co =? (b) x10 Solution: V = V₁ + (n-ro)t V = 100 + (21.5)t 100+0.5 t V = 100+ 0.5 t dx dt = TiCi-roCo dx dt dx dt dx dt dx dt 200 + t = (2) (3) (1.5) 1.5 x 10.5(100+ t). 3x 200 + t 3x = 6 = 6- = 6 + 100+ 0.5 t Co Co || || =
Transcribed Image Text:2. Brine containing 3 lb/gal of salt enters a large tank at the rate of 2 gal/min and the mixture well stirred leaves at 1.5 gal/min. If the tank contains initially 100 gal of water, with 4 lb of dissolved salt. Find the amount of salt in the tank (a) at any time t in minutes, and (b) after 4 minutes. Given: Find: V = 100 gal r₁ = 2 gal/min To = 1.5 gal/min (a) xt x = 20 kg C₁ = 3 lb/gal Co =? (b) x10 Solution: V = V₁ + (n-ro)t V = 100 + (21.5)t 100+0.5 t V = 100+ 0.5 t dx dt = TiCi-roCo dx dt dx dt dx dt dx dt 200 + t = (2) (3) (1.5) 1.5 x 10.5(100+ t). 3x 200 + t 3x = 6 = 6- = 6 + 100+ 0.5 t Co Co || || =
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