General Chemistry 4th Edition Map University Science Books presented by Sapling

Question

General Chemistry 4th Edition Map University Science Books presented by Sapling Leaming db Lithium nitride reacts with water to produce ammonia and lithium hydroxide according to the equation, Heavy water is water with the isotope deuterium in place of ordinary hydrogen, and its formula is D2O. The above reaction can be used to produce heavy ammonia, NDs(g), according to the equation, Li,Ns)+3D Calculate how many grams of heavy water are required to produce 185.0 mg of ND(g). The mass of deuterium, D, is 2.014 g/mol. Number s D,o

Explanation / Answer

The number of moles of heavy water and ND3 is

n(D2O)/3 = n(ND3)

The number of moles of ND3 is the ratio of the mass and the molar mass:

n(ND3) = mass/ molar mass

mass of ND3 = 185 mg =0.185 g

= 0.185/ (14.007 + 2.014 x 3)

= 0.185 / 20.049

  n(ND3) = 0.0092 mol

The number of moles of D2O is

n(D2O) = 3 x  n(ND3)

= 3 x 0.0092

  n(D2O) = 0.0276 mol

The mass of heavy water required to produce 0.185 g of ND3 is

m(D2O) =  n(D2O) x M(D2O)

= 0.0276 x ((2.014 x 2 )+ 15.999)

= 0.0276 x 20.027

m(D2O) = 0.5527 g

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