Methane clathrate also called methane hydrate is a form of ice in which methane
ID: 481963 • Letter: M
Question
Methane clathrate also called methane hydrate is a form of ice in which methane gas has been trapped inside the crystal structure. Methane hydrate has the formula CH_4 middot 5 3/4 H_2O or 4CH_4 middot 23H_2O. Large quantities of methane hydrate have been discovered in ocean sediments around the world. Mining these deposits to obtain methane (i.e. natural gas) has been discussed for years. Determine the percent water in methane hydrate. How many moles of methane could be recovered from 1.00 ton (2000 lbs) of methane hydrate? [1kg = 2.2 lbs]Explanation / Answer
1 ton = 2000 lbs
2000 lbs = 909.09 Kg = 909090 gms
1 mole of methane hydrate contains 23 moles of H2O [ 4CH3.23H2O]
Molar mass of H2O = 18
Molar mass of methane hydrate = 478 gms/mol
Percent of water = Mass of water*100 / Mass of methane hydrate = 18*[23]*100 / 478 = 86.61 %
Moles of methane hydrate = mass / Molar mass = 909090 / 478 = 1901.86
1 mole ofmethane hydrate contains 4 moles of methane
1901.86 moles of methane hydrate contain = 4*1901.86 = 7607.44 moles of methane
So; we can recover 7607.44 moles of methane from 1 ton of methane hydrate.