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Chapter 5: Problem 1
A typical textbook may have a mass of \(1 \mathrm{~kg}\), and thus a weight of about \(10 \mathrm{~N}\). How high could the textbook be lifted (against the force of gravity) by supplying one Joule of energy?
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If we have \(6 \times 10^{23}\) molecules, \(^{53}\) and each molecule releases \(1 \mathrm{eV}\) in a chemical reaction, how many kJ (per mole, as it turns out) is this reaction?
Heating a typical house might require something like \(200 \mathrm{~W}\) of power for every degree Celsius difference between inside and outside temperatures. If the inside temperature is kept at \(20^{\circ} \mathrm{C}\) and the outside temperature holds steady all day and night at \(0^{\circ} \mathrm{C}_{t}\) how much power is required to maintain the temperature?
A smaller or less active person may require only \(1,300 \mathrm{kcal}\) per day of food intake, while a larger or more active person might demand \(3,000 \mathrm{kcal}\) per day. Approximately what range of power does this spread translate to, in Watts?
A refrigerator cycles on and off. Let's say it consumes electrical power at a rate of \(150 \mathrm{~W}\) when it's on, and (essentially) \(0 \mathrm{~W}\) when it's off. If it spends half of its time in the on-state, what is its average power? How much energy does it consume in a 24 -hour day, in kWh? At a typical electricity cost of \(\$ 0.15\) per \(\mathrm{kWh}\), about how much does it cost per year to run the refrigerator?
How many kcal will it take to heat 1 liter of water (e.g., in a pot) from room temperature \(\left(20^{\circ} \mathrm{C}\right)\) to boiling \(\left(100^{\circ} \mathrm{C}\right) ?\) How many Joules is this?
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