Chapter 10: Problem 35
Describe the difference between force and pressure.
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Chapter 10: Problem 35
Describe the difference between force and pressure.
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Scuba Diving A scuba diver is at a depth of \(50 \mathrm{m}\), where the pressure is 5.0 atm. What should be the mole fraction of \(\mathrm{O}_{2}\) in the gas mixture the diver breathes to achieve the same \(P_{\mathrm{O}_{2}}\) as at sea level?
Oxygen is generated by the thermal decomposition of potassium chlorate: $$2 \mathrm{KClO}_{3}(s) \rightarrow 2 \mathrm{KCl}(s)+3 \mathrm{O}_{2}(g)$$ How many grams of \(\mathrm{KClO}_{3}\) are needed to generate \(200.0 \mathrm{L}\) of oxygen at 0.85 atm and \(273 \mathrm{K} ?\)
Enriching Uranium The two isotopes of uranium, \(^{238} \mathrm{U}\) and \(^{235} \mathrm{U},\) can be separated by diffusion of the corresponding UF \(_{6}\) gases. What is the ratio of the root-mean-square speed of \(^{238} \mathrm{UF}_{6}\) to that of \(^{235} \mathrm{UF}_{6}\) at constant temperature?
Using Wetlands to Treat Agricultural Waste Wetlands can play a significant role in removing fertilizer residues from rain runoff and groundwater. One way they do this is through denitrification, which converts nitrate ions to nitrogen gas: \(2 \mathrm{NO}_{3}^{-}(a q)+5 \mathrm{CO}(g)+2 \mathrm{H}^{+}(a q) \right-arrow \mathrm{N}_{2}(g)+\mathrm{H}_{2} \mathrm{O}(\ell)+5 \mathrm{CO}_{2}(g)\) Suppose \(200.0 \mathrm{g}\) of \(\mathrm{NO}_{3}^{-}\) flows into a swamp each day. a. What volume of \(\mathrm{N}_{2}\) would be produced at \(17^{\circ} \mathrm{C}\) and 1.00 atm if the denitrification process were complete? b. What volume of \(\mathrm{CO}_{2}\) would be produced? c. Suppose the gas mixture produced by the decomposition reaction is trapped in a container at \(17^{\circ} \mathrm{C} ;\) what is the density of the mixture, assuming \(P_{\text {total }}\) \(=1.00\) atm?
On October \(26,2014,\) Alan Eustace set a record for the highest parachute jump when he dropped from a balloon at an altitude of \(41,419 \mathrm{m},\) where the atmospheric pressure is only \(5.6 \mathrm{mmH} \mathrm{g}\) a. What is the density of air at this height? b. Is the mean free path of a gas molecule longer or shorter at this altitude than at sea level?
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