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Chapter 1: Q. 1.19 (page 13)
Suppose you have a gas containing hydrogen molecules and oxygen molecules, in thermal equilibrium. Which molecules are moving faster, on average? By what factor?
Hydrogen molecule will be moving faster
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Calculate the heat capacity of liquid water per molecule, in terms of K . Suppose (incorrectly) that all the thermal energy of water is stored in quadratic degrees of freedom. How many degrees of freedom would each molecule have to have?
Put a few spoonfuls of water into a bottle with a tight lid. Make sure everything is at room temperature, measuring the temperature of the water with a thermometer to make sure. Now close the bottle and shake it as hard as you can for several minutes. When you're exhausted and ready to drop, shake it for several minutes more. Then measure the temperature again. Make a rough calculation of the expected temperature change, and compare.
When you're sick with a fever and you take your temperature with a thermometer, approximately what is the relaxation time?
Your cup of tea is boiling-hot. About how much ice should you add to bring it down to a comfortable sipping temperature of ? (Assume that the ice is initially at . The specific heat capacity of ice is .)
Problem 1.49. Consider the combustion of one mole of with mole of under standard conditions, as discussed in the text. How much of the heat energy produced comes from a decrease in the internal energy of the system, and how much comes from work done by the collapsing atmosphere? (Treat the volume of the liquid water as negligible.)
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