Chapter 12, Problem 59GP

(a)

To determine

The credibility of the hypothesis (along with uncertainties) that the balloon is slowly leaking to explain the phenomena that when Jeff and Natalie inflate a rubber balloon in a warm room, shrinks when they take it to the garden on a cold winter day based on the following data recorded by their series of experiments including uncertainties:

$\begin{array}{cccc}\text{Experiment}& \text{Location}& \text{Temperature}& \text{Volume of the balloon}\\ \text{1}& \text{Room}& \text{26}\text{.2 °C ± 0}\text{.1 °C}& {\text{7500 cm}}^{\text{3}}{\text{ ± 400 cm}}^{\text{3}}\\ \text{2}& \text{Garden}& -\text{15}\text{.3 °C ± 0}\text{.1 °C}& {\text{6400 cm}}^{\text{3}}{\text{ ± 400 cm}}^{\text{3}}\\ \text{3}& \text{Room}& \text{26}\text{.2 °C ± 0}\text{.1 °C}& {\text{7300 cm}}^{\text{3}}{\text{ ± 400 cm}}^{\text{3}}\end{array}$

(b)

To determine

The credibility of the hypothesis (along with uncertainties) that the air inside the balloon is undergoing an isobaric compression to explain the phenomena that when Jeff and Natalie inflate a rubber balloon in a warm room, shrinks when they take it to the garden on a cold winter day based on the following data recorded by their series of experiments including uncertainties:

$\begin{array}{cccc}\text{Experiment}& \text{Location}& \text{Temperature}& \text{Volume of the balloon}\\ \text{1}& \text{Room}& \text{26}\text{.2 °C ± 0}\text{.1 °C}& {\text{7500 cm}}^{\text{3}}{\text{ ± 400 cm}}^{\text{3}}\\ \text{2}& \text{Garden}& -\text{15}\text{.3 °C ± 0}\text{.1 °C}& {\text{6400 cm}}^{\text{3}}{\text{ ± 400 cm}}^{\text{3}}\\ \text{3}& \text{Room}& \text{26}\text{.2 °C ± 0}\text{.1 °C}& {\text{7300 cm}}^{\text{3}}{\text{ ± 400 cm}}^{\text{3}}\end{array}$