Hydrogen Gas Problem Using the Ideal Gas Law
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Consider a vehicle powered by hydrogen gas.
a. About 3.1 kg of H2 is required for a vehicle to have a 500 km range. Assume ideal gas behavior and a storage tank of 60 L (a comparable size to conventional gasoline vehicles). What tank pressure atm might one expect at 25 degrees celsius?
b. Since their discovery in 1991, tiny graphite-like cylinders known as nanotubes have been widely researched. These nanotubes (1-3 nm in diameter) have high tensile strength, high electrical conductivity, and a high surface area. Hydrogen can readily abosrb onto these carbon fibers. The textbook indicates that these nanotubes can absorb three times their weight in H2. What minimum amount of this carbon allotrope (g) would be needed to reduce the tank pressure in the above hydrogen-powered vehicle to 20.0 atm?
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(a) 3.1 kg of H2 is 3100 g of H2
moles = mass/molecular wt = 3100 g / 2.00 g/mol = 1550 mol
P = nRT/V = (1550 mol)(0.0821 L*atm/mol*K)(298 K)/60.0 L =
= 632 atm
(b) To get it down to 20 atm... subtract the 20 atm from the ...
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