#Sales Offer!| Get upto 25% Off:

1.  The flow rate of water through a cylindrical pipe is given by Q = πr 2v, where r is the radius of the pipe and v is the flow velocity.

 

a.  Assume that r = 3.00 ± 0.03 m and v = 4.0 ± 0.2 m/s. Estimate Q, and find the uncertainty in the estimate.

b.   Assume that r = 4.00 ± 0.04 m and v = 2.0 ± 0.1 m/s. Estimate Q, and find the uncertainty in the estimate.

c.    If r and v have not been measured, but it is known that the relative uncertainty in r is 1% and that the relative uncertainty in v is 5%, is it possible to compute the relative uncertainty in Q? If so, compute the relative uncertainty. If not, explain what additional information is needed.

 

2.    The conversion of cyclobutane (C4H8 ) to ethylene (C2H4 ) is a first-order reaction. This means that the concentration of cyclobutane at time t is given by ln C = ln C0 − kt, where C is the concentration at time t, C0 is the initial concentration, t is the time since the reaction started, and k is the rate constant. Assume that C0 = 0.2 mol/L with negligible uncertainty. After 300 seconds at a constant temperature, the concentration is measured to be C = 0.174 ± 0.005 mol/L. Assume that time can be measured with negligible uncertainty.

 

a.   Estimate the rate constant k, and find the uncertainty in the estimate.

b.  The units of k will be s−1 . Find the relative uncertainty in k. The half-life t1/2 of the reaction is the time it takes for the concentration to be reduced to one-half its initial value.

c.   The half-life is related to the rate constant by t1/2 = (ln 2)/k. Using the result found in part (a), find the uncertainty in the half-life.

d.  Find the relative uncertainty in the half-life.

 

Found something interesting ?

• On-time delivery guarantee
• PhD-level professional writers
• Free Plagiarism Report

• 100% money-back guarantee
• Absolute Privacy & Confidentiality
• High Quality custom-written papers

Related Model Questions

Feel free to peruse our college and university model questions. If any our our assignment tasks interests you, click to place your order. Every paper is written by our professional essay writers from scratch to avoid plagiarism. We guarantee highest quality of work besides delivering your paper on time.

Grab your Discount!

25% Coupon Code: SAVE25
get 25% !!