1. Oil is being pumped into a huge cylindrical oil drum with diameter 3 m and length 6 m at a rate of 3 L / s. At what rate is the depth of the oil rising when the depth of the oil is 1 m? Note: 1L = 1000 cm3 3 m 1 m = 100 cm 6 m

4. A conical funnel is 200 mm tall and has a maximum diameter of 150 mm. Water is flowing into the funnel at a rate of 250 ml per minute a. Determine the rate of change of depth when the depth is 30 mm. b. How long will it take for the funnel to fill starting at a depth of 20 mm.

4. Water is draining from a cylindrical tank at 2.52 L/sec. Assume that the water tank has a diameter of 50 cm. How fast is the surface dropping?

5. Water is running out of a conical funnel at the rate of 1000 cu mm/sec. If the radius of the funnel is 40 mm and the altitude is 80 mm, find the rate at which the water is dropping when it is 20 mm from the top.

H.W. 1) Calculate the volume of cylinder has 15 m height and 8 m diameter. 2) If we have other cylinder with the same height but it volume greater than first cylinder by 20%, how long its radius? 3) Write a program to calculate the volumetric and mass flow rate of a liquid flowing in a pipe with a velocity equal to 0.5 m/s. Knowing that the diameter of this pipe is 0.1 m and the density of this liquid is 890 kg/m³ ? 4) For the following distillation column write a code to find the value of stream B and the compositions of stream D? D=80 X% ? S%? T%? Z% ? F=100kg 15% X 25% S 40% T 20% Z B=? 15% X 25% S 40% T 20% Z 9 5) Compute the reaction rate constant for a first-order reaction given by the -E/RT Arrhenius law k = A e at a temperature T = 500 K. Here the activation energy is E=20 kcal/mol and the pre-exponential factor is A=10¹3 s¹. The ideal gas constant is R=1.987 cal/mol K.