?The density of a substance can change with temperature. The graph that follows displays

Chapter 1, Problem 155

(choose chapter or problem)

The density of a substance can change with temperature. The graph that follows displays the density of water from \(-150^{\circ} \mathrm{C}\) to \(100^{\circ} \mathrm{C}\). Examine the graph and answer the questions.

                 

a. Water undergoes a large change in density at \(0^{\circ} \mathrm{C}\) as it freezes to form ice. Calculate the percent change in density that occurs when liquid water freezes to ice at \(0^{\circ} \mathrm{C}\).

\(\left(\text { Hint: } \% \text { change }=\frac{\text { final value }-\text { initial value }}{\text { initial value }} \times 100 \%\right)\)

b. Calculate the volume \(\left(\text { in } \mathrm{cm}^{3}\right)\) of 54 g of water at \(1^{\circ} \mathrm{C}\) and the volume of the same mass of ice at \(-1^{\circ} \mathrm{C}\). What is the change in volume?

c. Antarctica contains 26.5 million cubic kilometers of ice. Assume the temperature of the ice is \(-20^{\circ} \mathrm{C}\). If all of this ice were heated to \(1^{\circ} \mathrm{C}\) and melted to form water, what volume of liquid water would form?

d. A 1.00-L sample of water is heated from \(1^{\circ} \mathrm{C}\) to \(100^{\circ} \mathrm{C}\). What is the volume of the water after it is heated?

Text Transcription:

-150^circ C

100^circ C

0^circ C

0^circ C

(Hint: % change = frac  final value - initial value / initial value times 100%)

(in cm^3)

1^circ C

-1^circ C

-20^circ C

1^circ C

1^circ C

100^circ C