A fertiliser sample is 90% pure ammonium sulfate, (NH4)2SO4 (H = 1, N = 14, O = 16, S = 32). Calculate the mass of nitrogen (in g) in 250 g of this fertiliser, to one decimal place.

JEE Main levelNumerical answerDifficulty 2 of 3mc027

A fertiliser sample is $90%$ pure ammonium sulfate, $(NH X_{4}) X_{2} SO X_{4}$ (H = 1, N = 14, O = 16, S = 32). Calculate the mass of nitrogen (in g) in $250 g$ of this fertiliser, to one decimal place.

Numerical answer type, answer in g, tolerance 0.05.

Pure salt

= 0.90 \times 250 = 225

M = 132

, nitrogen per mole

= 28

. Mass of N

= 225 \times 28/132 = 47.7 g