Unformatted text preview: ChE 263
(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
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.
3. (Competency 2.1, 5.3; 10 points) Evaluate each of the following indefinite integrals
4. (Competency 2.1, 5.3; 10 points) Evaluate each of the following definite integrals
b. (the volume of a cylinder) 5. (Competency 2.1, 5.3; 15 points) Evaluate each of the following definite integrals
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 kmol-1 K-1. The following expression
has been published for the heat capacity of ethane sinh
where A = 4.0326⋅10 , B = 1.3422⋅10 , C = 1.6555⋅10 , D = 7.3223⋅104, E =
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 low-pressure 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 [email protected] The
assignment is due before the next class period. Save your completed assignment as
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- Fall '11
- Thermodynamics, Kelvin, following definite integrals, David McClellan