The solubility equilibrium constant for the dissolution of...

The solubility equilibrium constant for the dissolution of copper (I) chloride into copper ions and chlorine ion is Ksp = [Cu+][Cl-]. If the solubility constant is Ksp = 1.7 × 10-7, and the concentration of chlorine (Cl-) is 0.2 mol/L greater that the concentration of copper (Cu+), what is the concentration of copper ions in solution? Round your answer to 2 significant figures. The concentration of copper ions in solution is _____ mol/L.

Transcript

00:01 Hello everyone so here i would like to write it over here the given thing from the question itself the salubility equilibrium constant for the dilution or we can say for the dissolution it's going to become for what of copper one chloride into what into the copper iron into i can write it over here copper and chloride ion or a chlorine iron so i can write it over here is ksp i can write it the value ksp is equal to cu plus cl minus here with our we are going to be putting the value will be 1 .7 multiplied by 10 raised to minus 7 so here we need to find out the concentration of the copper ion in the solution.

01:08 So here we are going to be showing up the kind of a reaction.

01:13 So c -u -c -l -s, it's going to give us c -u plus equius plus c -l -e -s.

01:24 So i would like to write it over here for let's say i can here we are going to be saying the concentration of the copper, concentration of copper, concentration of copper, that is a cu plus i would like to take it here x.

01:43 Okay, here we are going to assuming that it will be x.

01:46 Now i'm going to be taking up the concentration of chlorine that we are going to be considering as cl minus is how much 0 .2 mole per liter.

02:00 It's going to be greater than the concentration of what copper.

02:12 So that is c u plus so that what we can write it over here concentration of chlorine cl minus is x plus 0 .2 so i'm going to be writing up over here for the ksp i can get it therefore ksp is equal to c u plus and cl minus that what we have written about right so i would like to write it over here x x plus 0 .2 so i can solve it over here and i'm getting the answer will be a 1 .7 multiplied by 7 10 raised to minus 7 is equal to x square plus 0 .2 x so x square plus it's going to become up over here plus yeah i can write it over here plus 0 .2 x minus 1 .7 multiplied by 10 raised to minus 7.

03:20 So here we are going to get the value of x is equal to minus 0 .2 plus or minus under root.

03:27 I'm going to be taking up 0 .04 plus 4 multiplied by 1, multiplied by 717.

03:36 1.

03:37 Yeah, it will be 1 717 multiplied by 10 raised to minus 8.

03:42 So divided by 2.

03:43 So the value which we are getting up over here, i would like to write it over here.

03:48 Is equal to 0.

03:50 Minus 0 .2 plus minus 0 .2 0 .2 0 .2 -0 -0 -0 -1 -6 -9999, divided by 2.

04:01 So here i can write it, x is equal to minus 0 .2 plus 0 .2, 2 0 -0 -000.

04:11 How many? it will be a 40...