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Chemistry Homework Assignment: Raoult's Law and Autocatalysis, Exercises of Chemistry

Auburn University (AU)Chemistry

A chemistry homework assignment for chem 4070, due on 4/19/2021. The assignment includes two problems: the first problem asks students to determine if a mixture of nh3 and h2o follows raoult's law based on given vapor pressures, and the second problem asks students to integrate the rate equation for an autocatalytic reaction and plot the concentration of the product over time. (6 points)

Typology: Exercises

2019/2020

Uploaded on 08/20/2021

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CHEM๎˜ƒ4070:๎˜ƒHomework๎˜ƒAssignment๎˜ƒ#6๎˜ƒ(Due๎˜ƒdate:๎˜ƒ4/19/2021)๎˜ƒ
Instructor:๎˜ƒEvangelos๎˜ƒMiliordos๎˜ƒ
Student's๎˜ƒname:๎˜ƒ________________________________________________๎˜ƒ
๎˜ƒ
1. The๎˜ƒvapor๎˜ƒpressure๎˜ƒat๎˜ƒ25๎˜ƒoC๎˜ƒof๎˜ƒpure๎˜ƒNH3๎˜ƒand๎˜ƒH2O๎˜ƒis๎˜ƒ1003๎˜ƒand๎˜ƒ3.16๎˜ƒkPa.๎˜ƒWhen๎˜ƒmixing๎˜ƒequal๎˜ƒmasses๎˜ƒof๎˜ƒ
NH3๎˜ƒand๎˜ƒH2O,๎˜ƒthe๎˜ƒvapor๎˜ƒpressure๎˜ƒof๎˜ƒthe๎˜ƒmixture๎˜ƒis๎˜ƒmeasured๎˜ƒexperimentally๎˜ƒequal๎˜ƒto๎˜ƒ550๎˜ƒkPa.๎˜ƒDoes๎˜ƒ
the๎˜ƒmixture๎˜ƒfollow๎˜ƒthe๎˜ƒRaoultโ€™s๎˜ƒlaw?๎˜ƒIf๎˜ƒnot,๎˜ƒhow๎˜ƒmuch๎˜ƒsmaller๎˜ƒor๎˜ƒbigger๎˜ƒis๎˜ƒthe๎˜ƒpressure๎˜ƒcompared๎˜ƒto๎˜ƒ
that๎˜ƒof๎˜ƒperfect๎˜ƒliquids?๎˜ƒThe๎˜ƒmolar๎˜ƒmasses๎˜ƒof๎˜ƒNH3๎˜ƒand๎˜ƒH2O๎˜ƒare๎˜ƒ17.031๎˜ƒand๎˜ƒ18.015๎˜ƒg/mol.๎˜ƒ
(2๎˜ƒpoints)๎˜ƒ
๎˜ƒ
2. Autocatalysis๎˜ƒis๎˜ƒthe๎˜ƒcatalysis๎˜ƒof๎˜ƒa๎˜ƒreaction๎˜ƒby๎˜ƒthe๎˜ƒproducts.๎˜ƒFor๎˜ƒexample,๎˜ƒfor๎˜ƒa๎˜ƒreaction๎˜ƒA๎˜ƒโ†’๎˜ƒP๎˜ƒit๎˜ƒmay๎˜ƒ
be๎˜ƒfound๎˜ƒthat๎˜ƒthe๎˜ƒrate๎˜ƒlaw๎˜ƒis๎˜ƒฯ…๎˜ƒ=๎˜ƒkr๎˜ƒ[A][P]๎˜ƒ(the๎˜ƒreaction๎˜ƒrate๎˜ƒis๎˜ƒproportional๎˜ƒto๎˜ƒthe๎˜ƒconcentration๎˜ƒof๎˜ƒ
the๎˜ƒproduct๎˜ƒP,๎˜ƒwhich๎˜ƒshould๎˜ƒnot๎˜ƒbe๎˜ƒzero๎˜ƒinitially).๎˜ƒ
(a) Integrate๎˜ƒthe๎˜ƒrate๎˜ƒequation๎˜ƒfor๎˜ƒthe๎˜ƒabove๎˜ƒautocatalytic๎˜ƒreaction,๎˜ƒand๎˜ƒshow๎˜ƒthat๎˜ƒ
๓ฐ‡ŸP๓ฐ‡ 
๓ฐ‡ŸP๓ฐ‡ ๏„ด๏Œ๓ฐ‡›1๏…๐‘๓ฐ‡œ๐‘’๏‡”๏…ฒ
1๏…๐‘ ๐‘’๏‡”๏…ฒ ๎˜ƒ
where๎˜ƒ[P]0๎˜ƒis๎˜ƒthe๎˜ƒinitial๎˜ƒconcentration๎˜ƒof๎˜ƒP,๎˜ƒa๎˜ƒ=๎˜ƒ([A]0๎˜ƒ+๎˜ƒ[P]0)๎˜ƒkr,๎˜ƒand๎˜ƒb๎˜ƒ=๎˜ƒ[P]0/[A]0.๎˜ƒ
(2๎˜ƒpoints)๎˜ƒ
(b) Plot๎˜ƒ[P]/[P]0๎˜ƒagainst๎˜ƒat.๎˜ƒ
(1๎˜ƒpoint)๎˜ƒ
๎˜ƒ
It๎˜ƒis๎˜ƒgiven๎˜ƒthat๎˜ƒ
๏Žฑdx
๐‘๏„ต x ๏…๐‘๏„ถ x๏„ถ๏Œ1
๐‘๏„ต ๐‘™๐‘›๏ฌx
๐‘๏„ต๏…๐‘๏„ถ x๏ฐ๎˜ƒ
๎˜ƒ

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Download Chemistry Homework Assignment: Raoult's Law and Autocatalysis and more Exercises Chemistry in PDF only on Docsity!

CHEM 4070: Homework Assignment #6 (Due date: 4/19/2021)

Instructor: Evangelos Miliordos

Student's name: ________________________________________________

  1. The vapor pressure at 25 o^ C of pure NH 3 and H 2 O is 1003 and 3.16 kPa. When mixing equal masses of

NH 3 and H 2 O, the vapor pressure of the mixture is measured experimentally equal to 550 kPa. Does the mixture follow the Raoultโ€™s law? If not, how much smaller or bigger is the pressure compared to that of perfect liquids? The molar masses of NH 3 and H 2 O are 17.031 and 18.015 g/mol. (2 points)

  1. Autocatalysis is the catalysis of a reaction by the products. For example, for a reaction A โ†’ P it may

be found that the rate law is ฯ… = kr [A][P] (the reaction rate is proportional to the concentration of the product P, which should not be zero initially). (a) Integrate the rate equation for the above autocatalytic reaction, and show that แˆพPแˆฟ แˆพPแˆฟ (^) เฌดเตŒ

where [P] 0 is the initial concentration of P, a = ([A] 0 + [P] 0 ) kr , and b = [P] 0 /[A] 0. (2 points) (b) Plot [P]/[P] 0 against a t. (1 point)

It is given that

เถฑ

dx ๐‘เฌต x เต… ๐‘เฌถ xเฌถ^ เตŒ^

๐‘เฌต^ ๐‘™๐‘› เตฌ^

x ๐‘เฌต เต… ๐‘เฌถ xเตฐ