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Given problem is a typical mixing problem

dy dt ratein rategut

Let y(t) is the salt in tank at time t

The water entering has no salt, rate in =0

The thoroughly mixed solution has concentration of 10L/min . The tank has 1119 L of brine with 15 kg of salt

Rate out =( y/1119) kg/ L * 10 L/min = 10 y/ 1119 kg/mim

Hence, differential equation is dy dt 10y 1119

dy Y 10 -dt 1119

dy =-11 10 •dt 1119 S

10 In y = - + tc 1119

y = e 1119 +c

at t=0, y= 15

15= C

c= 15

Therefore, y= 10 y = 15e 1119 =

After 20 minutes, t= 20

10.200 y = 15e 1119 kg

y= 12.54496 kg

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QUESTION 6 (a) The bar shown in Figure Q2(a) is subjected to tensile load of 150 Kn. If the stress in the middle portions is limited to 160 N/mm², determine the diameter of the middle portion. Find also the length of the middle portion if the total elongation of the bar is to be 0.25 mm. E E = 2.0 + 105N/mm². (12 marks) 150 KN 10 cm DIA 10 cm DIA 150 KN 45 cm Figure Q6(a) (b) A brass bar, having cross-section area of 900 mm², is subjected to axial forces as shown in Figure Q2(b), in which AB = 0.6 m, BC = 0.8 m, and CD = 1.0 m. Find the total elongation of the bar. E = 1.0 + 105N/mm2 . (8 marks) Page 4 of 5 B D 40 KN 70 KN 20 KN 10 KN Figure Q6(b) (TOTAL = 20 MARKS)

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The Devon Motor Company produces motorcycles. During April,the company purchased 8,000 batteries at a cost of $10 per battery.Devon withdrew 7,600 batteries from the storeroom during the month.Of these, 100 were used to replace batteries in motorcycles beingused by the company's traveling sales staff. The remaining7,500 batteries withdrawn from the storeroom were placed inmotorcycles being produced by the company. Of the motorcycles inproduction during April, 90% were completed and transferred fromwork in process to finished goods. Of the motorcycles completedduring the month, 30% were unsold at April 30. (There were noinventories of any type on April 1).

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  Question: The Devon Motor Company produces motorcycles. During April,the company purchased 8,000 batteries at a cost of $10 per battery.Devon withdrew 7,600 batteries from the storeroom during the month.Of these, 100 were used to replace batteries in motorcycles beingused by the company's traveling sales staff. The remaining7,500 batteries withdrawn from the storeroom were placed inmotorcycles being produced by the company. Of the motorcycles inproduction during April, 90% were completed and transferred fromwork in process to finished goods. Of the motorcycles completedduring the month, 30% were unsold at April 30. (There were noinventories of any type on April 1). 1. Determine the cost of batteries that would appear in eachof the following accounts at April 30. a) raw materials b) work in process c) finished goods d) cost of goods sold e) selling expanse 2. Specify whether each of the above accounts would appear onthe balance sheet or on the income statement at April 30. Answer:...

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