Aspirin, which is acetylsalicylic acid, was the first nonsteroidal anti-inflammatory drug (NSAID) used to alleviate pain and fever. If a solution of aspirin has a [H3O^+] = 1.7 × 10^-3 M, what is the pH of the solution?

Question

Aspirin, which is acetylsalicylic acid, was the first nonsteroidal anti-inflammatory drug (NSAID) used to alleviate pain and fever. If a solution of aspirin has a [latex][H_{3}O^{+}] = 1.7 imes 10^{-3}[/latex] M, what is the pH of the solution?

Accepted Answer

STEP 1 State the given and needed quantities.

ANALYZE THE PROBLEM	Given	Need	Connect
	[latex][H_{3}O^{+}] = 1.7 imes 10^{-3}[/latex] M	PH	pH equation

STEP 2 Enter the[latex][H_{3}O^{+}][/latex] into the pH equation and calculate.

[latex]PH = - \log [H_{3}O^{+}] = - \log [1.7 imes 10^{-3}] [/latex]

[latex] \overset{Calculator Procedure}{1.7 \boxed{EE or EXP} } \boxed{+/-} 3 \boxed{\log} \boxed{+/-} \boxed{=} or \boxed{+/-} \boxed{\log} 1.7 \boxed{EE or EXP} \boxed{+/-} 3 \boxed{=} \overset{Calculator Display}{\boxed{2.769551079}}[/latex]

Be sure to check the instructions for your calculator.

STEP 3 Adjust the number of SFs on the right of the decimal point. In a pH value, the number to the left of the decimal point is an exact number derived from the power of 10. Thus, the two SFs in the coefficient determine that there are two SFs after the decimal point in the pH value.

[latex]\overset{Coefficient }{\underset{\underset{Two SFs }{\uparrow \uparrow } }{1.7}} imes \overset{Power of ten }{\underset{\underset{Exact }{\uparrow } }{10^{-3}}} PH = - \log [1.7 imes 10^{-3}] = \underset{\underset{Exact Two SFs}{ earrow warrow warrow } }{2.77} [/latex]

Question 11.8: Aspirin, which is acetylsalicylic acid, was the first nonste...

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