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The power input to the fan is 50 J/s and the power input to the heating element is 1.44 kJ/s. The air enters the fan with negligible velocity at a pressure of 1 bar and a temperature of 20 C, the volumetric flow rate being 0.5 m3 /min. After passing over the heating element, the air leaves the nozzle with a velocity of 25 m/s and a pressure of 1.1 bar. Treating the complete arrangement as a steady flow system and ignoring any heat loss from the system, determine: (a) The mass flow rate of air entering the fan in kg per second (b) The kinetic energy of the air leaving the nozzle per second (c) The change in enthalpy of the air occurring per second between entering the fan and leaving the nozzle (d) The temperature of the air as it leaves the nozzle. (e) The density of the air as it leaves the nozzle (f) The flow area at the nozzle exit. Take R = 0.287 kJ/kgK and cp = 1.005 kJ/kgK


Determine the pH

pH of each of the following solutions.

Part A

4.0×10−2 M

M HI


If f and g are continuous functions on [a,b] with integral from a to x f ≥ integral from a to x g for every x ∈ [a, b], must it be true that f(x) ≥ g(x) on [a, b]?


 How would a defined media composition differ if the nitrogen source is ammonium (NH4) or ammonium nitrate (NH4NO3)? How much of each of these compounds would you add to1L  of media if you wanted to maintain 10:1:0.1 (C:N:P) ratio with glucose as the sole carbon source at 1g/L? (25 points)


1.1 Suppose you buy a round lot of MM Industries stock on 55 percent margin when the stock is selling at $20 a share. The broker charges a 10 percent annual interest rate, and commissions are 3 percent of the total stock value on both the purchase and sale. A year later, you receive a $0.50 per share dividend and sell the stock for 27. What is your rate of return on the investment?


market consists of three people A, B and C whose individual demand equations are as follows:


A: P = 30 – 1.00QA


B: P = 30 – 1.33QB


C: P = 30 – 0.80QC



(i) What is the market demand equation?


(ii) If one has 60 units, what price should he charge to sell the entire units? Determine the quantity demanded from each market


(iii) If the industry supply equation is QS = 70 +2P, determine the equilibrium price and quantity.




ii) Write an SQL query that returns the titles of articles authored by 'Robert Tarjan'.



What mass of silver salt is deposited when a current of 2.6 A is passed though a solution of a silver salt for 40 minutes? (ag=108 F=96500C)


A man drags a 76kg crate across the floor at constant velocity by pulling a strap attached to the bottom of the crate. Crate is tilted 25° above horizontal. Strap is included 61° above horizontal (between box top and hands). Center of Gravity of crate coincides with its geometric center. Find magnitude of tension in the strap. Crate is 0.40m tall by 0.90m long.


Where would an REA diagram for the production cycle depict the list of ingredients for making a product?

A. In the bill of materials table

B. In the raw materials table

C. In the work in process table

D. In the finished goods table


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