   Chapter 14, Problem 53E

Chapter
Section
Textbook Problem

# The pH of a sample of gastric juice in a person’s stomach is 2.1. Calculate the pOH, [H+], and [OH–] for this sample. Is gastric juice acidic or basic?

Interpretation Introduction

Interpretation:

• The pOH,[H+] and [OH] of the given sample of gastric juice is to be calculated.
• The classification of this sample as acidic or basic is to be stated.

Concept introduction:

The pH of a solution is define as a figure that expresses the acidity of the alkalinity of a given solution.  A logarithmic scale is used on which, the value 7 corresponds to a neutral species, a value less than 7 corresponds to an acid and a value greater than 7 corresponds to a base.

The pH of a solution is calculated by the formula, pH=log[H+]

The sum, pH+pOH=14

The equilibrium constant for water is denoted by Kw and is expressed as,

Kw=[H+][OH]

Explanation

To determine: The pOH,[H+] and [OH] of the given sample of gastric juice and the classification of this sample as acidic or basic.

The [H+] is 8.0×10-3M_ .

Given

pH=2.1

The pH of a solution is calculated by the formula,

pH=log[H+]

Rearrange the above expression to calculate the value of [H+] .

[H+]=10pH

Substitute the given value of pH in the above expression.

[H+]=102.1=8.0×10-3M_

Calculation of pOH of the sample

The pOH of the given sample is 11.9_ .

Given

pH=2.1

The sum, pH+pOH=14

Substitute the given value of pH in the above expression

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