Chapter 10: Q.10.88 (page 359)

Determine the pH for the following solutions:
a. $[{OH}^{-}] = 1.0 \times 10^{- 7} M$
b. $[H_{3} O^{+}] = 4.2 \times 10^{- 3} M$
c. $[H_{3} O^{+}] = 0.0001 M$
d. $[{OH}^{-}] = 8.5 \times 10^{- 9} M$

Short Answer

Expert verified

Part a. $7$

Part b. $2.38$

Part c. $4$

Part d. $5.93$

Step by step solution

Given Information (Part a)

pH or potential of hydrogen is a scale used to specify the acidity or basicity of a fluid solution. Acidic solutions are estimated to have lower pH values than basic or alkaline solutions

Explanation Part (a)

We know,

$[{OH}^{-}] = 1 \times 10^{- 7} M$

Calculating $H_{3} O^{+}$ ,

role="math" localid="1653144138454" $[H_{3} O^{+}] = \frac{1 \times 10^{- 14}}{[{OH}^{-}]} = \frac{1 \times 10^{- 14}}{1 \times 10^{- 7}} = 1 \times 10^{- 7} M$

Using,

$pH = - \log [H_{3} O^{+}]$

$pH = - \log (1 \times 10^{- 7}) p H = 7$

Explanation Part (b)

We know,

$[H_{3} O^{+}] = 4.2 \times 10^{- 3} M$

Using,

$pH = - \log [H_{3} O^{+}]$

$pH = - \log (4.2 \times 10^{- 3}) p H = 2.38$

Explanation Part (c)

We know,

$[H_{3} O^{+}] = 0.0001 M$

Using,

$pH = - l o g [H_{3} O^{+}]$

$pH = - \log (0.0001) p H = 4$

Explanation Part (d)

We know,

$O H^{-} = 8.5 \times 10^{- 9}$

Calculating $H_{3} O^{+}$ ,

$[H_{3} O^{+}] = \frac{1 \times 10^{- 14}}{[{OH}^{-}]} = \frac{1 \times 10^{- 14}}{8.5 \times 10^{- 9}} = 1.17 \times 10^{- 6} M$

Using,

$pH = - \log [H_{3} O^{+}]$

$pH = - \log (1.17 \times 10^{- 6}) p H = 5.93$

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Determine the pH for the following solutions:
a. $[{OH}^{-}] = 1.0 \times 10^{- 7} M$
b. $[H_{3} O^{+}] = 4.2 \times 10^{- 3} M$
c. $[H_{3} O^{+}] = 0.0001 M$
d. $[{OH}^{-}] = 8.5 \times 10^{- 9} M$

Short Answer

Step by step solution

Given Information (Part a)

Explanation Part (a)

Explanation Part (b)

Explanation Part (c)

Explanation Part (d)

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Determine the pH for the following solutions:a.OH−=1.0×10−7Mb.H3O+=4.2×10−3Mc.H3O+=0.0001Md.OH−=8.5×10−9M

Short Answer

Step by step solution

Given Information (Part a)

Explanation Part (a)

Explanation Part (b)

Explanation Part (c)

Explanation Part (d)

One App. One Place for Learning.

Most popular questions from this chapter

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Inorganic Chemistry

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Study anywhere. Anytime. Across all devices.

Determine the pH for the following solutions:
a. $[{OH}^{-}] = 1.0 \times 10^{- 7} M$
b. $[H_{3} O^{+}] = 4.2 \times 10^{- 3} M$
c. $[H_{3} O^{+}] = 0.0001 M$
d. $[{OH}^{-}] = 8.5 \times 10^{- 9} M$