Chapter 10: Problem 39
What is the average kinetic energy of a molecule of oxygen at a temperature of \(300 \mathrm{~K}\) ?
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Chapter 10: Problem 39
What is the average kinetic energy of a molecule of oxygen at a temperature of \(300 \mathrm{~K}\) ?
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\(M\) The active element of a certain laser is made of a glass rod \(30.0 \mathrm{~cm}\) long and \(1.50 \mathrm{~cm}\) in diameter. Assume the average coefficient of linear expansion of the glass is \(9.00 \times 10^{-6}\left({ }^{\circ} \mathrm{C}\right)^{-1}\). If the temperature of the rod increases by \(65.0^{\circ} \mathrm{C}\), what is the increase in (a) its length, (b) its diameter, and (c) its volume?
The density of gasoline is \(7.30 \times 10^{2} \mathrm{~kg} / \mathrm{m}^{3}\) at \(0^{\circ} \mathrm{C}\). Its average coefficient of volume expansion is \(9.60 \times 10^{-4}\left({ }^{\circ} \mathrm{C}\right)^{-1}\), and note that \(1.00 \mathrm{gal}=0.00380 \mathrm{~m}^{3}\). (a) Calculate the mass of \(10.0 \mathrm{gal}\) of gas at \(0^{\circ} \mathrm{C}\). (b) If \(1.000 \mathrm{~m}^{3}\) of gasoline at \(0^{\circ} \mathrm{C}\) is warmed by \(20.0^{\circ} \mathrm{C}\), calculate its new volume. (c) Using the answer to part (b), calculate the density of gasoline at \(20.0^{\circ} \mathrm{C}\). (d) Calculate the mass of \(10.0\) gal of gas at \(20.0^{\circ} \mathrm{C}\). (e) How many extra kilograms of gasoline would you get if you bought \(10.0\) gal of gasoline at \(0^{\circ} \mathrm{C}\) rather than at \(20.0^{\circ} \mathrm{C}\) from a pump that is not temperature compensated?
Gas is confined in a tank at a pressure of \(11.0 \mathrm{~atm}\) and a temperature of \(25.0^{\circ} \mathrm{C}\). If two-thirds of the gas is withdrawn and the temperature is raised to \(75.0^{\circ} \mathrm{C}\), what is the new pressure of the gas remaining in the tank?
In a period of \(1.0 \mathrm{~s}, 5.0 \times 10^{23}\) nitrogen molecules strike a wall of area \(8.0 \mathrm{~cm}^{2}\). If the molecules move at \(300 \mathrm{~m} / \mathrm{s}\) and strike the wall head-on in a perfectly elastic collision, find the pressure exerted on the wall. (The mass of one \(\mathrm{N}_{2}\) molecule is \(4.68 \times 10^{-26} \mathrm{~kg}\).)
Show that if the temperature on the Celsius scale changes by \(\Delta T_{C}\), the Fahrenheit temperature changes by \(\Delta T_{F}=\frac{9}{5} \Delta T_{C}\)
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