Discover the Steps to Solve for X in a Chemistry pH Equation

  • Thread starter Thread starter stressedout
  • Start date Start date
AI Thread Summary
To solve for x in the pH equation (x + 1*10^-8)(x) = 1.0*10^-14, first expand the equation to x^2 + 1*10^-8x - 1*10^-14 = 0. The quadratic formula, x = [-b ± sqrt(b^2 - 4ac)] / 2a, can then be applied, where a = 1, b = 1*10^-8, and c = -1*10^-14. After substituting these values, the correct solution for x is approximately 9.5 x 10^-8. The discussion emphasizes the importance of correctly applying the quadratic formula to resolve the confusion with the two x terms.
stressedout
Messages
5
Reaction score
0
Hi,

I have a mathematical problem coming from chemistry (dealing with pH). I've set everything up but can't do the math, I need the math steps to be shown to me.

How do you solve for x in this equation?
(x + 1*10^-8) (x) = 1.0*10^-14

x should be equal to 9.5 x 10^-8, but what steps do you take to get this value? I have tried this problem for a while and keep getting stuck because there are 2 x's on the left side of the equation. I don't know where to begin anymore or what to do. Any help would be appreciated. Thanks in advance.
 
Physics news on Phys.org
please do not double post.

see this thread.
 
(x + 1*10^-8) (x) = 1.0*10^-14
x^2 + 1*10^-8x=1*10^-14
x^2 + 1*10^-8x - 1*10^-14 =0

do you know quatratic formulas?
 
Sorry Integral, I posted and about 10 minutes later I thought I posted in the wrong section so I edited my post and decided maybe I should be posting my question here instead. Thank you for pointing me in the right direction for the solution (I looked at the other thread).

Thanks vincentchan, yes, I know the quadratic formula.
- b +/- sqrt b^2 - 4(a)(c) over 2a
I tried this at one point, but got confused and thought it was wrong. I'll try it again.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
Thread 'Voltmeter readings for this circuit with switches'
TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
Thread 'Trying to understand the logic behind adding vectors with an angle between them'
My initial calculation was to subtract V1 from V2 to show that from the perspective of the second aircraft the first one is -300km/h. So i checked with ChatGPT and it said I cant just subtract them because I have an angle between them. So I dont understand the reasoning of it. Like why should a velocity be dependent on an angle? I was thinking about how it would look like if the planes where parallel to each other, and then how it look like if one is turning away and I dont see it. Since...
Back
Top