Recent content by josephcollins
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J
Limits using basic analysis theorems and logic?
I solved it thus: (n^2 + 2n)^1/2 = (n^2)^1/2 * (1+2/n)^1/2 therefore this = n(1+2/n)^1/2 now expand the bracket using taylor's theorem to get (1+2/n)^1/2= 1+(1/n)-(1/n^2)+... therefore multiplying by n in the above you have n+1-(1/n) as n tends to infinity the (1/n) becomes...- josephcollins
- Post #8
- Forum: Introductory Physics Homework Help
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Dilution of 0.01M HCN Calculating Volume of Water to Add
I have a short question concerning the dilution of a 0.01M solution of HCN. I need to dilute 40cm3 of the above to give a solution with a pH of 6. Given the Ka of HCN is 4.8*10^-10 I obtain the concentration of HCN necessary in the new volume:2.08*10^-3M. Therefore the volume has to be...- josephcollins
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- Dilution Volume Water
- Replies: 1
- Forum: Chemistry
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Meteorite heading towards earth
Hi ppl. I have a short question. A meteorite of mass m has a velocity u=2.00*10^4 m/s when it is at an infinite distance from the earth. It eventually collides with the eath with a velocity v. Calculate v. given are the radius of earth(6.37*10^6m) and go=9.80Nkg^-1) I used the argument that...- josephcollins
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- Earth Meteorite
- Replies: 4
- Forum: Introductory Physics Homework Help
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How Do You Calculate the pH of a Sodium Ethanoate Solution?
Hi ppl. I have a question. I'm given the pka of ethanoic acid/ethanoate ions at 4.75 and i have to work out the ph of a 5*10^-2 moldm3 solution of sodium ethanoate. I worked it out by getting the Ka from 10^-4.75 and then saying that the concentration of Ch3COO- in the dissociation of ethanoic...- josephcollins
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- Ph
- Replies: 2
- Forum: Chemistry
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High School Calculating Natural Number e: History & Methods
The way I was introduced to e was to try to find the exponentional which was its own derivative. So say we have a^x, we know that a^0 is 1, so try to find the value of a such that the gradient of a^x is 1 at the point (0,1). From this you get the definition of a, or as we know it e: Lim...- josephcollins
- Post #9
- Forum: Calculus
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Weak Acid/Base Equilibria: C6H5OH & C6H5NH2 K_a & K_b
Hi my friend. What you should do here is write first the equilibrium reaction for these two substances ionisation in water, then deduce an expression for Kc-eqm constant. This expression will include the concentration of water, which is constant and thus cancels out of the equation. Then replace...- josephcollins
- Post #2
- Forum: Chemistry
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Predicting a reaction between ester and acyl halide
HI ppl, I have a question here. I deduced a formula of an acid, aminobenzoic acid and this reacted with ethanol to give the corresponding ester. This ester then reacts with an acyl halide, CH3COCl, any ideas as to the product of this reaction? Thanks, Joe- josephcollins
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- Reaction
- Replies: 1
- Forum: Chemistry
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Joe's Question: Nitrogen Organic Structure Property
Hi ppl, I have this question. I have the MF of a substance A : C7H7O2N. I have three pieces of info which should indicate a structural property of this substance:i) A reacts with sodium carbonate to give off CO2. I thought this might indicate an ionic structure? then ii) A will form a coloured...- josephcollins
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- Nitrogen Organic
- Replies: 3
- Forum: Chemistry
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Undergrad Range of Validity for Maclaurin Expansion of ln(1-x)
Hi ppl. May I ask how you obtain the range of convergence for the maclaurin expansion of ln(1-x) and taylor's series, maclaurin's in general? Thanks, Joe- josephcollins
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- Range
- Replies: 2
- Forum: Calculus
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Undergrad Joe's Uranium Problem: Alpha Particle Emission & Final Nucleus Mass
Here I have a problem: A 232/92 Uranium nucleus emits an alpha particle with kinetic energy=5.32MeV. What is the final nucleus and what is the approximate mass(in units) of the final atom. I can write the equation for the reaction, this will give 4/2 He and 228/90 Th. If the alpha particle...- josephcollins
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- Alpha Alpha particle Emission Final Mass Nucleus Particle Uranium
- Replies: 1
- Forum: High Energy, Nuclear, Particle Physics
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Solving a Nuclear Reaction Problem: Alpha Particle & Uranium-232
Here I have a problem: A 232/92 Uranium nucleus emits an alpha particle with kinetic energy=5.32MeV. What is the final nucleus and what is the approximate mass(in units) of the final atom. I can write the equation for the reaction, this will give 4/2 He and 228/90 Th. If the alpha particle...- josephcollins
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- Alpha Alpha particle Nuclear Nuclear reaction Particle Reaction
- Replies: 2
- Forum: Introductory Physics Homework Help
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How to Approximate Solutions for an Impossible Antiderivative?
I used the fact that delta(y) is roughly equal to delta(x) times dy/dx. Then you come up with y(3)-y(1)=(e^1/1)(3-1). I think this gives y(3)= 2e+2. Could someone verify that this is the correct approximation? Thanks, Joe- josephcollins
- Post #5
- Forum: Introductory Physics Homework Help
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Undergrad Proving the Limit of Sin x/x Using Squeeze Theorem
You might also remeber to use the maclaurin's series for sinx. since sinx= x-x^3/3! + x^5/5! the x's will cancel and give 1 and the rest of the terms in x will become negligible for the given limit as x tends to zero, Joe- josephcollins
- Post #4
- Forum: Calculus
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Volumetric estimation of iron(II)ions
Hi ppl, I have an electrochemisry question. Explain why dilute sulphuric acid, rather than dilute hydrochloric acid, is used as a source of hydrogen ions in the volumetric estimation of iron (II) ions with potassium manganate (VII).- josephcollins
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- Estimation
- Replies: 4
- Forum: Chemistry
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What Reactions Occur When Iron Filings are Added to a Solution of Mixed Ions?
Hi ppl. I'm asked a question: Iron filings are added to a solution containing the ions Cu2+, Fe2+, Fe3+, H30+ and Zn2+. Deduce what reactions occur from the standard electrode potentials. Is this simply asking me which will change Fe2+ to Fe3+ and vice-versa by reduction or oxidation do you...- josephcollins
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- Oxidation Reactions Redox
- Replies: 2
- Forum: Chemistry