A toll-free phone number is available from 9 a.m. to 9 p.m. for your customers to register complaints about a product purchased from your company. Past history indicates that an average of 1.0 calls are received per minute. Complete parts (a)through (c).

A.    what is the probability that during a 1 min period zero phone calls will be received?

B.    what is the probability that during a 1 min period three or more phone calls will be received?

C.    what is the maximum number of phone calls that will be received in a 1 min period 99.99% of the time?

A lined canal (n = 0.016) is designed to carry a flow rate of 33 m3/s. The canal is laid at a slope of 14 cm/km with a side slope of 2:1. Design the canal cross section (the water depth and bed width) according to each of the following scenario:

1. If Velocity is 1.0 m/s

2. If the Most efficient hydraulic section (i.e., when Rh=y/2)

3. If Width/depth =5

Comment on the practicality of the designs (Height of side slope, flow

velocity, variability of depth under reduced flows, land area for the canal).

A mixture of 0.05263 mol of H2O, 0.01327 mol of CH4, 0.07198 mol of CO, and 0.06917 mol of H2 is placed in a 1.0-L steel pressure vessel at 1303 K.

The following equilibrium is established: 1 H2O(g) + 1 CH4(g) 1 CO(g) + 3 H2(g) At equilibrium 0.009871 mol of CH4 is found in the reaction mixture.

(a) Calculate the equilibrium partial pressures of H2O, CH4, CO, and H2.

Peq(H2O) = .

Peq(CH4) = .

Peq(CO) = .

Peq(H2) = .

(b) Calculate KP for this reaction. KP = ?

A cantilever of circular solid cross section is fixed at one end and carries a concentrated load P at the free end. The diameter at the free end is 200mm and increases uniformly to 400 mm at the fixed end over a length of 2m. At what distance from the free will the bending stresses in the cantilever be maximum? Also calculate the value of the maximum bending stress if the concentrated load P=300 KN

(a) 1.23 m, 12.32 MPa

(b) 1.5 m, 11.23 MPa

(c) 1.0 m, 11.32 MPa

(d) 1.33 m, 13.42 MPa

An unstable nucleus of mass 1.7 ✕ 10−26 kg, initially at rest at the origin of a coordinate system, disintegrates into three particles. One particle, having a mass of m1 = 1.0 ✕ 10−27 kg, moves in the positive y-direction with speed v1 = 5.4 ✕ 106 m/s. Another particle, of mass m2 = 7.0 ✕ 10−27 kg, moves in the positive x-direction with speed v2 = 3.6 ✕ 106 m/s. Find the magnitude and direction of the velocity of the third particle. (Assume that the +x-axis is to the right and the +y-axis is up along the page.)

Consider three different processors P1, P2 and P3 executing the same instruction set with clock rates and CPI given in the following table: Processor Clock Rate CPI P1 2 GHz 1.5 P2 1.5 GHz 1.0 P3 3 GHz 2.5 c) We are trying to reduce the execution time by 30% but this leads an increase of 20% in the CPI. What clock rate should we have to get this time reduction? b) If the processors each execute a program in 10 seconds, find the number of cycles and the number of instructions

A road of formation width 12 m is to be constructed with side slopes of 1 vertical to 2 horizontal in cut and 1 vertical to 3 horizontal in fill. The existing ground surface has a cross fall of 1 vertical to 8 horizontal and it will intersect the formation 1.5 m to the left of the center line and 1.0 m to the right of the center line at two cross sections 20 m apart. Calculate the areas related to the cut and fill at the two sections. Hence calculate the outstanding volume of cut or fill remaining after the establishment of the formation between the two sections.

A single stage RO desalination system has the following design data:
-6 3 2
- Water permeability = 2.05xl0 m /m .s.kPa
-5 3 2
- Salt permeability = 2.03x10 m /m .s
- Feed salinity = 38,500 ppm
- Feed flow rate = 3.0 kg/s
- Permeate flow rate = 1.0 kg/s - Feed pressure = 6,600 kPa
- Reject pressure = 6,350 kPa
- Permeate pressure = 101 kPa
Calculate permeate salinity, brine salinity, brine flow rate, and membrane area

1. A distillation column is separating 100 kmol/h of saturated vapor feed that is 30 mol% ethanol, 25 mol% i-propanol, 35 mol% n-propanol, and 10 mol% n-butanol at a pressure of 1.0 atm.  We want a 98.6% recovery of i-propanol in the distillate and 99.2% recovery of n-propanol in the bottoms.  The column has a total condenser and a partial reboiler. The distillate flow rate in kmol/hr is ___________, the bottoms flow rate in kmol/hr is ____________, the molar fraction of i-propanol in the distillate is ______________, and the molar fraction of n-propanol in the bottoms is _________________.

After the Chernobyl nuclear accident, the Pripyat River in Ukraine received 5.0 ×10¹¹ Bq yr^?1 of ⁹⁰Sr from around the Chernobyl nuclear plant through runoff water and groundwater seepage, totaling 1.0 × 10⁷ m³ yr^?1 of the effluent discharge. The Pripyat River width under a normal (mean annual) flow condition is 200 m. The nearest resident is living at the town of Chernobyl, which is 10 km downstream on the same (south) side of the river as the nuclear plant. Determine the ⁹⁰Sr concentration in the river at the town of Chernobyl.