Calculating Electric Field Ratios for H+ and K+ Ions

[nemzy]

The ratio of electric fields, E1/E2, at the surfaces of ions when H+ is the first ion (q=+1 and R=0.00001 Angstrom) and K+ is the second ion (Q=+1 and R=1.33 Angstrom) is:

how would u solve this kind of problem?

well i know that the ratio of E1/E2 is qR^2/Qr^2

so do i just plug in those numbers and compute?

if that's the case, is this problem this easy or is their some kinda tricky hidden thing that I am overlooking?

 

[Gokul43201]

No trick. Easy problem. Plug 'n' chug.

In reality, the computation of the electric field is far more complex than just using the formula given...but since that's what you're given at this level, that's what you kmust use.

 

[ravenprp]

To solve this problem, you would first need to understand the concept of electric fields and how they are calculated. Electric fields are a measure of the force experienced by a charged particle in an electric field. In this case, we are looking at the electric field at the surface of two ions, H+ and K+.

The formula for calculating electric field is E = kq/r^2, where k is the Coulomb's constant, q is the charge of the ion, and r is the distance from the ion. In this problem, we are given the values for q and r for both ions.

To find the ratio of electric fields, we can use the formula E1/E2 = (q1/r1^2)/(q2/r2^2). Plugging in the values for H+ and K+ ions, we get:

E1/E2 = (1/0.00000000001^2)/(1/1.33^2) = 1.33^2/0.00000000001^2 = 1.77 x 10^22

So, the ratio of electric fields at the surfaces of H+ and K+ ions is 1.77 x 10^22. This means that the electric field at the surface of K+ ion is 1.77 x 10^22 times stronger than the electric field at the surface of H+ ion.

This problem may seem straightforward, but it is important to understand the concept of electric fields and how they are calculated. It is also important to double-check your calculations and make sure you are using the correct units. Overall, this is a relatively simple problem, but it is always a good idea to carefully read and understand the question before attempting to solve it.