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Chapter 18, Problem 76P

The adiabatic lapse rate is the rate at which air cools as it rises and expands adiabatically in the atmosphere (see Application: Smog Alert, on page 324). Express dT in terms of dp for an adiabatic process, and use the hydrostatic equation (Equation 15.2) to express dp in terms of dy. Then, calculate the lapse rate dT/dy. Take air’s average molecular weight to be 29 u and γ = 1.4, and remember that the altitude y is the negative of the depth h in Equation 15.2.

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Chapter 18 Solutions

Essential University Physics: Volume 1; Mastering Physics with Pearson eText -- ValuePack Access Card -- for Essential University Physics (3rd Edition)

Ch. 18 - Figure 18.18 shows two processes, A and B. that...Ch. 18 - When you let air out of a tire, the air seems...Ch. 18 - Blow on the back of your hand with your mouth wide...Ch. 18 - You boil water in an open pan. Of which of the...Ch. 18 - Three identical gas-cylinder systems are...Ch. 18 - Prob. 13FTDCh. 18 - In what sense can a gas of diatomic molecules be...Ch. 18 - Prob. 15ECh. 18 - Prob. 16ECh. 18 - A 40-W heat source is applied to a gas sample for...Ch. 18 - Find the rate of heat flow into a system whose...Ch. 18 - In a certain automobile engine, 17% of the total...Ch. 18 - An ideal gas expands from the state (p1, V1) to...Ch. 18 - Repeat Exercise 20 for a process that follows the...Ch. 18 - A balloon contains 0.30 mol of helium. It rises,...Ch. 18 - The balloon of Exercise 22 starts at 100 kPa...Ch. 18 - How much work does it take to compress 2.5 mol of...Ch. 18 - By what factor must the volume of a gas with =...Ch. 18 - Prob. 26ECh. 18 - A carbon-sequestration scheme calls for...Ch. 18 - A gas mixture contains 2.5 mol of O2 and 3.0 mol...Ch. 18 - A mixture of monatomic and diatomic gases has...Ch. 18 - What should be the approximate specific-heat ratio...Ch. 18 - Prob. 31ECh. 18 - An ideal gas expands to 10 times its original...Ch. 18 - During cycling, the human body typically releases...Ch. 18 - A 0.25-mol sample of ideal gas initially occupies...Ch. 18 - As the heart beats, blood pressure in an artery...Ch. 18 - It takes 1.5 kJ to compress a gas isothermally to...Ch. 18 - A gas undergoes an adiabatic compression during...Ch. 18 - A gas with = 1.40 occupies 6.25 L when its at...Ch. 18 - A gas sample undergoes the cyclic process ABCA...Ch. 18 - Prob. 40PCh. 18 - A gasoline engine has compression ratio 8.5 (sec...Ch. 18 - By what factor must the volume of a gas with =...Ch. 18 - Volvos B5340 engine, used in the V70 series cars,...Ch. 18 - A research balloon is prepared for launch by...Ch. 18 - Prob. 45PCh. 18 - By what factor does the internal energy of an...Ch. 18 - An ideal monatomic gas is compressed to half its...Ch. 18 - A gas expands isothermally from state A to state...Ch. 18 - A 3.50-mol sample of ideal gas with molar specific...Ch. 18 - Prove that the slope of an adiabat at a given...Ch. 18 - An ideal gas with = 1.67 starts at point A in...Ch. 18 - The gas of Example 18.4 starts at state A in Fig....Ch. 18 - The gas of Example 18.4 starts at state A in Fig....Ch. 18 - A 25-L sample of ideal gas with = 1.67 is at 250...Ch. 18 - Prob. 55PCh. 18 - A 25-L sample of ideal gas with = 1.67 is at 250...Ch. 18 - Youre the product safety officer for a company...Ch. 18 - Figure 18.22 shows data and a fit curve from an...Ch. 18 - External forces compress 21 mol of ideal monatomic...Ch. 18 - A gas with = 7/5 is at 273 K when its compressed...Ch. 18 - An ideal gas with = 1.3 is initially at 273 K and...Ch. 18 - The curved path in Fig. 18.23 lies on the 350-K...Ch. 18 - Repeat part (a) of Problem 62 for the path ACDA in...Ch. 18 - A gas mixture contains monatomic argon and...Ch. 18 - How much of a triatomic gas with Cv = 3R would you...Ch. 18 - An 8.5-kg rock at 0C is dropped into a...Ch. 18 - A piston-cylinder arrangement containing 0.30 mol...Ch. 18 - Experimental studies show that the pV curve for a...Ch. 18 - Show that the application of Equation 18.3 to an...Ch. 18 - A horizontal piston-cylinder system containing n...Ch. 18 - Prob. 71PCh. 18 - The table below shows measured values of pressure...Ch. 18 - In a reversible process, a volume of air V0= 17 m3...Ch. 18 - A real gas is more accurately described using the...Ch. 18 - Repeat Exercise 20 for an expansion along the path...Ch. 18 - The adiabatic lapse rate is the rate at which air...Ch. 18 - The nuclear power plant at which youre the public...Ch. 18 - Prob. 78PCh. 18 - One scheme for reducing greenhouse-gas emissions...Ch. 18 - Warm winds called Chinooks (a Native-American term...Ch. 18 - Warm winds called Chinooks (a Native-American term...Ch. 18 - Warm winds called Chinooks (a Native-American term...Ch. 18 - Warm winds called Chinooks (a Native-American term...

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