Chapter 9.4, Problem 43PPS

To determine

To solve: Name the substance which has greatest hydrogen ion concentration as mentioned in the problem and number of times the substance is as great as egg whites hydrogen ion concentration.

Answer to Problem 43PPS

The substance with greatest hydrogen ion concentration is coffee and coffee is ${10}^3$ times great as egg whites hydrogen ion concentration.

Explanation of Solution

Given information:

As mentioned in the problem the hydrogen ion concentration of coffee is ${10}^{-5}$ , hydrogen ion concentration of egg whites is ${10}^{-8}$ , hydrogen ion concentration of milk is ${10}^{-6}$ ,hydrogen ion concentration of purewater is ${10}^{-7}$ ,hydrogen ion concentration of baking soda is ${10}^{-9}$ .

Formula used:

If the base of the term is same then we subtract the exponents that is $\frac{a^b}{a^c}\Rightarrow a^{b-c}$ where $a$ is any integer.

Calculation:

Consider the statement hydrogen ion concentration of coffee is ${10}^{-5}$ , hydrogen ion concentration of egg whites is ${10}^{-8}$ , hydrogen ion concentration of milk is ${10}^{-6}$ , hydrogen ion concentration of pure water is ${10}^{-7}$ , hydrogen ion concentration of baking soda is ${10}^{-9}$ .

The greatest hydrogen ion concentration is coffee from the details mentioned above.

Recall that if the base of theterm is same then we subtract the exponents that is $\frac{a^b}{a^c}\Rightarrow a^{b-c}$ where $a$ is any integer.

Therefore number of times the hydrogen ion concentration of coffee than that of egg whites is $\frac{{10}^{-5}}{{10}^{-8}}\Rightarrow {10}^{-5+8}\Rightarrow {10}^3$ .

So, the hydrogen ion concentration of coffee is ${10}^3$ times as great as the hydrogen ion concentration of egg whites.