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Unformatted text preview: ChE 263
Assignment #17
(Mathcad® HW #5)
Note: This homework assignment is to be done using Mathcad®. Also assignment
continues on the back of this sheet.
1. (Competency 2.1, 5.3; 25 points) For each of the following three functions:
determine the symbolic representation of
showing
a.
b.
c. , , 2 and , and make a single plot . 3 2. (Competency 2.1, 5.3; 15 points) For f x,y sin x cos y evaluate the following
derivatives at x 1 and y 1.
a.
b.
c.
3. (Competency 2.1, 5.3; 10 points) Evaluate each of the following indefinite integrals
symbolically.
a.
b.
2
4. (Competency 2.1, 5.3; 10 points) Evaluate each of the following definite integrals
symbolically.
a.
b. (the volume of a cylinder) 5. (Competency 2.1, 5.3; 15 points) Evaluate each of the following definite integrals
numerically.
a. √ b. in cm3, when R = 1 cm (The volume of a sphere)
c. asin in degrees (i.e. from 0 degree to 1 degree) 6. (Competency 2.1, 3.1.1, 5.3, 6.1 20 points) The first column is the temperature in
Kelvin and the second is the heat capacity in J kmol1 K1. The following expression
has been published for the heat capacity of ethane sinh
sinh
3
where A = 4.0326⋅10 , B = 1.3422⋅10 , C = 1.6555⋅10 , D = 7.3223⋅104, E =
7.5287⋅102.
a. For the temperature dependence of the heat capacity of ethane, plot the above
equation over temperatures ranging from the freezing/melting point to the
critical temperature (hint: dippr has both values tabulated).
b. The heat needed to raise the temperature of a lowpressure gas can be
obtained by integrating the heat capacity from the initial to the final
temperature. Calculate the heat needed to raise 7.5 moles of ethane from an
initial temperature of 200 K to 500 K.
4 5 7. (5pts) Fill out corresponding online survey of homework time on blackboard.
Email finished assignment to David McClellan at david.263ta@gmail.com. The
assignment is due before the next class period. Save your completed assignment as
“lastnamefirstnameHW#Sect#.xmcd” ...
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 Fall '11
 BradBundy

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