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Chapter 11: Problem 39

"The older I get, the fewer hairs I have on my head." What kind of relationship (proportion or inverse proportion) exists between this gentleman's age and his hair? Explain your answer.

Short Answer

Expert verified
The relationship between the gentleman's age and the number of hairs on his head is an inverse proportion, as his age increases, the number of hairs decreases at a constant rate.

Step by step solution

01

Understanding the relationship

In general, a direct proportion (or proportion) means that as one variable increases, the other variable also increases at a constant rate. On the other hand, an inverse proportion means that as one variable increases, the other variable decreases at a constant rate. In this case, the gentleman's age is increasing, and the number of hairs on his head is decreasing. Therefore, we can conclude that this relationship is an inverse proportion.

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Most popular questions from this chapter

Rewrite the ideal gas law solving for \(T\). Also show how all units cancel to leave you with just units of temperature.

A sample of hydrogen gas, \(\mathrm{H}_{2}\), is in an outdoor 1000.0-gallon tank. It is winter, and the temperature is \(-4.50^{\circ} \mathrm{C}\). A pressure gauge indicates that the pressure inside the tank is \(32.6\) atm. How many pounds of hydrogen are left in the tank? (Hint: Examine the solution to Problem 11.9.)

What is the value of normal atmospheric pressure in millimeters of mercury? In atmospheres?

Suppose you want to carry out the chemical reaction: \(\mathrm{H}_{2}(g)+\mathrm{Cl}_{2}(g) \rightarrow 2 \mathrm{HCl}(g)\) and you have 1 mole of \(\mathrm{Cl}_{2}\) gas. (a) What volume in liters of \(\mathrm{H}_{2}\) gas would you need in order to have 1 mole of \(\mathrm{H}_{2}\), given that the \(\mathrm{H}_{2}\) pressure and temperature are \(1.00 \mathrm{~atm}\) and \(22.5^{\circ} \mathrm{C}\) ? (b) What would the volume of the product be if it were collected at \(1.00 \mathrm{~atm}\) and \(22.5^{\circ} \mathrm{C}\) ?

Describe how a mercury barometer works.
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