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Chapter 18: Problem 46
By what factor must the volume of a gas with \(\gamma=1.4\) be changed in an adiabatic process if the pressure is to double?
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A 0.35-mol sample of ideal gas initially occupies 4.0 L. If it takes 68 J of work to compress the gas isothermally to 3.5 L, what鈥檚 the temperature?
One scheme for reducing greenhouse-gas emissions from coalfired power plants calls for capturing carbon dioxide and pumping it into the deep ocean, where the pressure is at least 350 atm. You're called to assess the energy cost of such a scheme for a power plant that produces electrical energy at the rate of \(1.0 \mathrm{GW}\) while at the same time emitting \(\mathrm{CO}_{2}\) at the rate of 1100 tonnes/hour. If \(\mathrm{CO}_{2}\) is extracted from the plant's smokestack at \(320 \mathrm{~K}\) and \(1 \mathrm{~atm}\) pressure and then compressed adiabatically to 350 atm, what fraction of the plant's power output would be needed for the compression? Take \(\gamma=1.3\) for \(\mathrm{CO}_{2}\). (Your answer is a rough estimate because \(\mathrm{CO}_{2}\) doesn't behave like an ideal gas at very high pressures; also, it doesn't include the energy cost of separating the \(\mathrm{CO}_{2}\) from other stack gases or of transporting it to the compression site.)
How much of a triatomic gas with \(C_{V}=3 R\) would you have to add to \(6.0 \mathrm{~mol}\) of a monatomic gas to get a mixture whose thermodynamic behavior was like that of a diatomic gas?
A power plant extracts thermal energy from its fuel at the rate of \(3810 \mathrm{MW}\) and produces electrical energy at the rate of \(1250 \mathrm{MW}\). There's a proposal to use the waste heat from this plant to heat nearby homes. If the average home requires \(43.2 \mathrm{GJ}\) of energy in a winter month, how many homes could be served if \(100 \%\) of the waste heat from the power plant were available for home heating?
Why is specific heat at constant pressure greater than at constant volume?
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