HW 5
Florida Institute of Technology • Chemical Engineering Department
CHE-2101 • Chemical Engineering Fundamentals I • Fall 2012
Homework # 5
[Problems 1, 3, 4, and 5 due: Wednesday, September 19th, 2012]
Problem # 1:
Solubility of formaldehyde in a solvent is measured by a spectrophotometer operating at
570 nm. The data collected are optical density versus concentration expressed in grams per liter.
Concentration, c
100
300
500
600
700
Optical density, d
0.086
0.269
0.445
0.538
0.626
Based on Beer’s law, obtain the best estimates of the coefficients for a linear relation c = bo + b1 d and plot the equation obtained together with the data.
NOTE: It is recommended to use a spreadsheet program (Excel) to solve this problem
Problem #2:
Heat capacities are usually given in terms of polynomial functions of temperature. The equation for carbon dioxide is:
C p = 8.4448 + 0.5757 *10 −2 T − 0.2159 *10 −5 T 2 + 0.3059 *10 −9 T 3 where T is in °F and Cp is in BTU/(lb mol) (°F). Convert the equation so that T can be in
°C and Cp will be in J/(g mol) (K)
Problem #3:
A manometer uses kerosene, Sp.Gr. 0.82 as the fluid. A reading of 5 [in] on the manometer is equivalent of how many millimeters of mercury?
Problem # 4:
Suppose that a submarine inadvertently sinks to the bottom of the ocean at a depth of 1000 m. It is proposed to lower a diving bell to the submarine and attempt to enter the conning tower. What must the minimum air pressure be in the diving bell at the level of the submarine to prevent water from entering into the bell when the opening valve at the bottom is cracked open slightly? Give your answer in absolute kilopascal. Assume that seawater has a constant density of 1.024 g/cm3.
MEPdeF – 09/12/2012
CHE-2101 • Chemical Eng. Fundamentals I • Fall 2012 • Homework # 5 (continued)
________________________________________________________________________
Problem #5:
Examine Figure 5.1 Oil (density = 0.91 g/cm3) flows in a pipe, and the flow rate is measured via a
CHE-2101 • Chemical Engineering Fundamentals I • Fall 2012
Homework # 5
[Problems 1, 3, 4, and 5 due: Wednesday, September 19th, 2012]
Problem # 1:
Solubility of formaldehyde in a solvent is measured by a spectrophotometer operating at
570 nm. The data collected are optical density versus concentration expressed in grams per liter.
Concentration, c
100
300
500
600
700
Optical density, d
0.086
0.269
0.445
0.538
0.626
Based on Beer’s law, obtain the best estimates of the coefficients for a linear relation c = bo + b1 d and plot the equation obtained together with the data.
NOTE: It is recommended to use a spreadsheet program (Excel) to solve this problem
Problem #2:
Heat capacities are usually given in terms of polynomial functions of temperature. The equation for carbon dioxide is:
C p = 8.4448 + 0.5757 *10 −2 T − 0.2159 *10 −5 T 2 + 0.3059 *10 −9 T 3 where T is in °F and Cp is in BTU/(lb mol) (°F). Convert the equation so that T can be in
°C and Cp will be in J/(g mol) (K)
Problem #3:
A manometer uses kerosene, Sp.Gr. 0.82 as the fluid. A reading of 5 [in] on the manometer is equivalent of how many millimeters of mercury?
Problem # 4:
Suppose that a submarine inadvertently sinks to the bottom of the ocean at a depth of 1000 m. It is proposed to lower a diving bell to the submarine and attempt to enter the conning tower. What must the minimum air pressure be in the diving bell at the level of the submarine to prevent water from entering into the bell when the opening valve at the bottom is cracked open slightly? Give your answer in absolute kilopascal. Assume that seawater has a constant density of 1.024 g/cm3.
MEPdeF – 09/12/2012
CHE-2101 • Chemical Eng. Fundamentals I • Fall 2012 • Homework # 5 (continued)
________________________________________________________________________
Problem #5:
Examine Figure 5.1 Oil (density = 0.91 g/cm3) flows in a pipe, and the flow rate is measured via a