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What is the probability that k columns in a random k x n binary matrix have rank k? How about the probability that k + 1 columns in this matrix have rank? Compute these two probabilities for n = 16 and k = 5.
estimate of Q likely to be low or high? Why?
Solid NH4NO3 (ammonium nitrate) decomposes on heating to 400°C, forming N2O gas and water vapor, H2O. (a)Write a balanced chemical equation
A concern borrows $50,000 at an annual, effective, compound-interest rate of 10 percent. The concern wishes to pay off the debt in 5 years by making equal payments at the end of each year. How much will each payment have to be?
For a coil current I (dc), derive an expression for the force on the plunger.
Explain the reasons for changes in flow depth near the hump using concepts of specific energy.
Compute the increase in temperature and entropy if saturated liquid water at 10 kPa is pumped to a pressure of 9.0 MPa, if the pump is 75% efficient (where 100% efficiency would be reversible). You may use constant values and at these conditions.
A distillation column separates benzene from toluene using a control scheme similar to that shown in Figure (a). Make a practice HAZOP study of the plant section and add any instrumentation that is needed to develop the full P and I diagram.
Calculate the mass of the metal in gr than can be prepared from 150 grams of aluminum and 250 grams of iron (iii) oxide
Find the -6 dB width of the envelope of a time pulse and the two end frequencies needed to scan a 1 mm thick slice from -15 cm to +15 cm around an isocenter on the z axis. Assume Gz = 0:5 T=m.
Additional data: Use the Lee-Kesler graphs for enthalpy and entropy. The saturation pressure of propane at -51.4 °C is 0.66 bar. Take the ideal-gas CP of propane at these conditions to be constant and equal to 67 J/mole K.
(a) The safest conditions are achieved by the lowest temperature and pressure in the flash vessel. (b) Vapor flow to downstream equipment can cause a hazardous situation.
Draw circuit diagrams and show polarity markings.
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