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Express your answernumerically in liters. Natural gas (mostly methane, sigma CHs

ID: 687123 • Letter: E

Question


Express your answernumerically in liters. Natural gas (mostly methane, sigma CHsigma4) is very abundant in manyMiddle Eastern oil fields. However, the costs of shipping the gasto markets in other parts of the world are high because it isnecessary to liquefy the gas, which has a boiling pointof -164 ^sigmacirc sigma C. One possible strategyis to oxidize the methane (in a 1:1 mole ratio) tomethanol, sigma CHsigma3OH, which has a boilingpoint of 65 ^sigmacirc sigma C and can thereforebe shipped more readily. What volume of methanol isformed if 3.141011 L of methane at standardatmospheric pressure and 25 ^sigmacirc sigma C is oxidized tomethanol? The density of sigma CHsigma3OH is0.791 sigma g/mL. Assume that the oxidationof methane to methanol occurs in a 1:1stoichiometry. Express your answernumerically in liters.

Explanation / Answer

3.14×1011 is litres soyou can used PV=nRT to find n with T as25 converted to kelvins. (298.15 kelvin) Once you know moles of methane (n), the moles of methanol isalso known (the oxidationof methane to methanol occurs in a 1:1 stoichiometry). As this is a liquid, find its molecular weight(12.00+1.01+1.01+1.01+16.00+1.01 g=32.04 g mol1)using the mass of 1 mole of methanol. Then use the density to find the volume, by the definition ofdensity. Density=(mass)/(volume) From this, you should be able to find your answer. Hope this is of some help.

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