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Chapter 13: Q16Q (page 359)
Question 16: Can you determine the temperature of a vacuum? Explain.
No, the temperature of a perfect vacuum cannot be determined because it does not contain any particles.
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Question: (II)Show that for a mixture of two gases at the same temperature, the ratio of their rms speeds is equal to the inverse ratio of the square roots of their molecular masses,\(\frac{{{{\bf{v}}_{\bf{1}}}}}{{{{\bf{v}}_{\bf{2}}}}}{\bf{ = }}\sqrt {\frac{{{{\bf{M}}_{\bf{2}}}}}{{{{\bf{M}}_{\bf{1}}}}}} \).
Question: Name several properties of materials that could be used to make a thermometer.
A concrete building is built of slabs 12 m long\({\rm{(15^\circ C)}}\). How wide should the expansion cracks between the slabs the at \({\rm{(15^\circ C)}}\) to prevent buckling if the range of temperature is \( - 30{\rm{^\circ C}}\)to \(50^\circ {\rm{C}}\)
Question: (II)Two isotopes of uranium,\({}^{{\bf{235}}}{\bf{U}}\)and\({}^{{\bf{238}}}{\bf{U}}\)(the superscripts refer to their atomic masses), can be separated by a gas diffusion process by combining them with fluorine to make the gaseous compound\({\bf{U}}{{\bf{F}}_{\bf{6}}}\). Calculate the ratio of the rms speeds of these molecules for the two isotopes, at constant T. Use Appendix B for masses.
Question: (II)Show that the rms speed of molecules in a gas is given by\({{\bf{v}}_{{\bf{rms}}}}{\bf{ = }}\sqrt {{\bf{3P/\rho }}} \)where P is the pressure in the gas and\({\bf{\rho }}\)is the gas density.
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