Calculate the diffusion coefficient (cm2/s) of ferricyanide if cyclic voltammograms conducted on a solution of 1 mM KClO4 + 5 mM K4Fe(CN)6 at scan rates of 1, 2, 5, 10, 20, and 50 mV/s, resulted in peak currents of 76, 100, 175, 243, 348 and 552 mA. The electrode used for...
For each reaction, give balanced chemical equations or NR (no reaction) and rationalize your answers in terms of trends in oxidation states. Calculate net potential for the reactions:
a) Fe2+(aq) + Co3+ (aq) (acidic conditions) →
b) CrO42−(aq) + MoO2(s) + H+ (acidic...
CaCO3 acts as an antacid for temporary relief of heartburn/acid-reflux. Free calcium ions in solution can be analyzed gravimetrically after acid digestion and precipitation with oxalate in basic solution to form an insoluble calcium oxalate monohydrate salt that can be...
A lightly-damped oscillator is set in motion and observed as the oscillations decrease in amplitude. Derive approximate values for the factors by which i) the amplitude, and ii) the energy will decrease after Q cycles, where Q is the “quality parameter” defined in the...
A billiard ball (solid uniform sphere) is struck so that it has initial velocity v0, but no initial spin. As it slides along the table, friction causes it to spin, until eventually it is rolling without slipping. Find its speed when it begins to roll without slipping. Show...
You are one of the first astronomers in a civilization on Planet B in another solar system. With your unaided eye, you follow planet A in the same solar system and note that it never gets further away than 16 degrees from the star (around which both planets orbit).
v at max height should be 0 right?
so then 0 = -vt tanh (t/T)
It's how to deal with the equation that comes after.
tanh x = (ex - e-x)/(ex + e-x)
tanh (t/T) = (et/T - e-t/T)/(et/T + e-t/T)
0 = -vt[ (et/T - e-t/T)/(et/T + e-t/T)]
so if v = 0, then the the exponential functions...
A ball is thrown vertically upwards at speed v0. Assume drag force is proportional to v2.
a) Show that, while moving upwards, Newton's Second Law gives a = -g(1+v2/vt2) where vt is the terminal speed.
b) Take v0 = 3vt and solve for v(t), the time tmax at which it...
I just need to isolate t from the equation though I'm stumped on how to do it.
x(t) = vτ(1-e-t/τ)
*τ and v are constants
The Attempt at a Solution
I know you somehow need to take the ln of both sides so
ln x(t)/vτ = ln (1-e-t/τ)