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Chapter 1: Problem 10

How are the key elements of scientific thinking used in the following scenario? While making toast, you notice it fails to pop out of the toaster. Thinking the spring mechanism is stuck, you notice that the bread is unchanged. Assuming you forgot to plug in the toaster, you check and find it is plugged in. When you take the toaster into the dining room and plug it into a different outlet, you find the toaster works. Returning to the kitchen, you turn on the switch for the overhead light and nothing happens.

Short Answer

Expert verified
The scenario uses observation, hypothesis formation, testing, and conclusion to identify a faulty kitchen outlet.

Step by step solution

01

- Observation

Notice the initial problem: The toast fails to pop out of the toaster, and the bread remains unchanged. Pay attention to details such as the bread not being toasted.
02

- Hypothesis

Formulate a hypothesis: The spring mechanism in the toaster might be stuck.
03

- Testing the Hypothesis

Test the initial hypothesis by examining the spring mechanism. Observe that the bread remains unchanged, indicating the toaster may not be receiving power.
04

- Alternative Hypothesis

Develop an alternative hypothesis: The toaster might not be plugged in, resulting in no power.
05

- Verification

Verify the alternative hypothesis by checking if the toaster is plugged in. Discover that it is indeed plugged in, disproving your alternative hypothesis.
06

- Further Testing

Conduct further testing by plugging the toaster into a different outlet in the dining room. The toaster works, suggesting the problem might be with the kitchen outlet.
07

- Conclusion

Form a conclusion based on experiments and observations. Since the toaster works in the dining room but not the kitchen and the kitchen light doesn't turn on, conclude that the kitchen outlet or circuit is faulty.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Observation
Observations are the first step in the scientific method. In this scenario, you notice that the toaster fails to pop out the toast and the bread remains unchanged. These initial details are crucial as they set the stage for further investigation. Always pay close attention to all elements of the situation. Make notes of anything unusual, like the bread not being toasted and the toaster mechanism possibly being stuck.
Hypothesis Testing
Hypothesis testing is an essential phase where you propose potential explanations. Here, you initially hypothesize that the spring mechanism is stuck. To test this, observe whether fixing the mechanism changes anything. When it doesn't, it indicates that the toaster isn't receiving power. Always test your hypotheses methodically and change or refine them based on what you learn. Developing different hypotheses - such as thinking the toaster might not be plugged in - is part of the process.
Experimental Verification
To verify your hypotheses, you must conduct experiments. In our scenario, you check if the toaster is plugged in, which it is. You then plug the toaster into a different outlet, which works. Through these experiments, you gather evidence that the issue is possibly the kitchen outlet. Verify your hypotheses through steps and tests, and adjust your understanding based on the results you obtain. This step involves a lot of trial and error but is crucial for confirming or disproving your ideas.
Faulty Circuit Hypothesis
After multiple observations and tests, you might form the hypothesis that there is a fault in the kitchen circuit. Here, since the kitchen light also fails to turn on, you can reasonably conclude the kitchen outlet is faulty. Use all information gathered from your tests and observations to reach a rational conclusion. Conclude based on experiments and data, and understand that sometimes the simplest explanations (like checking if something is plugged in) don't solve the issue, prompting more complex diagnostics.

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Most popular questions from this chapter

1.51 Round off each number to the indicated number of significant figures (sf): (a) 231.554 (to \(4 \mathrm{sf}\); (b) 0.00845 (to \(2 \mathrm{sf}\) ); (c) 144,000 (to 2 sf \()\)

Carry out each calculation, paying special attention to significant figures, rounding, and units: (a) \(\frac{4.32 \times 10^{7} \mathrm{~g}}{\frac{4}{3}(3.1416)\left(1.95 \times 10^{2} \mathrm{~cm}\right)^{3}}\) (The term \(\frac{4}{3}\) is exact.) (b) \(\frac{\left(1.84 \times 10^{2} \mathrm{~g}\right)(44.7 \mathrm{~m} / \mathrm{s})^{2}}{2}\) (The term 2 is exact.) (c) \(\frac{\left(1.07 \times 10^{-4} \mathrm{~mol} / \mathrm{L}\right)^{2}\left(3.8 \times 10^{-3} \mathrm{~mol} / \mathrm{L}\right)}{\left(8.35 \times 10^{-5} \mathrm{~mol} / \mathrm{L}\right)\left(1.48 \times 10^{-2} \mathrm{~mol} / \mathrm{L}\right)^{3}}\)

Carry out each calculation, paying special attention to significant figures, rounding, and units \((J=\) joule, the \(S I\) unit of encrgy; mol = mole, the SI unit for amount of substance): (a) \(\frac{\left(6.626 \times 10^{-34} \mathrm{~J} \cdot \mathrm{s}\right)\left(2.9979 \times 10^{8} \mathrm{~m} / \mathrm{s}\right)}{489 \times 10^{-9} \mathrm{~m}}\) (b) \(\frac{\left(6.022 \times 10^{23} \text { molecules } / \mathrm{mol}\right)\left(1.23 \times 10^{2} \mathrm{~g}\right)}{46.07 \mathrm{~g} / \mathrm{mol}}\) (c) \(\left(6.022 \times 10^{23}\right.\) atoms \(\left./ \mathrm{mol}\right)\left(1.28 \times 10^{-18} \mathrm{~J} /\right.\) atom \()\left(\frac{1}{2^{2}}-\frac{1}{3^{2}}\right)\) where the numbers 2 and 3 in the last term are exact

Liquid nitrogen is obtained from liquefied air and is used industrially to prepare frozen foods. It boils at \(77.36 \mathrm{~K}\). (a) What is this temperature in \({ }^{\circ} \mathrm{C} ?\) (b) What is this temperature in \({ }^{\circ} \mathrm{F}\) ? (c) At the boiling point, the density of the liquid is \(809 \mathrm{~g} / \mathrm{L}\) and that of the gas is \(4.566 \mathrm{~g} / \mathrm{L}\). How many liters of liquid nitrogen are produced when \(895.0 \mathrm{~L}\) of nitrogen gas is liquefied at \(77.36 \mathrm{~K} ?\)

At room temperature \(\left(20^{\circ} \mathrm{C}\right)\) and pressure, the density of air is \(1.189 \mathrm{~g} / \mathrm{L}\). An object will float in air if its density is less than that of air. In a buoyancy experiment with a new plastic, a chemist creates a rigid, thin-walled ball that weighs \(0.12 \mathrm{~g}\) and has a volume of \(560 \mathrm{~cm}^{3}\). (a) Will the ball float if it is evacuated? (b) Will it float if filled with carbon dioxide \((d=1.830 \mathrm{~g} / \mathrm{L}) ?\) (c) Will it float if filled with hydrogen \((d=0.0899 \mathrm{~g} / \mathrm{L}) ?\) (d) Will it float if filled with oxygen \((d=1.330 \mathrm{~g} / \mathrm{L}) ?\) (e) Will it float if filled with nitrogen \((d=1.165 \mathrm{~g} / \mathrm{L}) ?\) (f) For any case in which the ball will float, how much weight must be added to make it sink?
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