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What is the pH of a solution which has a concentration of 0.02832 moles per liter?Show...

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spock17 | Student, Undergraduate | (Level 1) eNoter

Posted May 16, 2012 at 7:07 AM via web

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What is the pH of a solution which has a concentration of 0.02832 moles per liter?

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mlsiasebs | College Teacher | (Level 1) Associate Educator

Posted May 16, 2012 at 12:29 PM (Answer #1)

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I'm making the assumption that the concentration given is for the the H+ ion concentration.  If we know the concentration of H+ then we can simply use the formula

pH = - log [H+]

to find the pH of the solution.  The concentration of H+ must be in units of molarity when used in this formula.  Since we are given the concentration in molarity, we can plug the value in and solve.

pH = - log (0.02832)

pH = 1.5479

To report the value to the correct number of significant figures, the value of the pH should have as many decimal places as we have significant figures in the concentration.  Since there are 4 significant figures in the concentration, we need four decimal places in our answer. 

When we look at the value we see that the concentration is approximately 10^-2, so the pH should be somewhere near 2 which is what we found so our answer is reasonable.

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