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A mixture of NH4NO3 and (NH4)2HPO4 contain 30.40% mass percent of nitrogen. What is the mass ratio of the two components in the mixture?

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A mixture of NH4NO3 and (NH4)2HPO4 contain 30.40% mass percent of nitrogen. What is the mass ratio of the two components in the mixture?

(a) 2 : 1

(b) 1 : 2

(c) 3 : 4

(d) 4 : 1

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Correct answer: (a) 2 : 1

Explanation:

Let wt. of NH4NO3 and (NH4)2HPO4 are x and y gram respectively

\(\frac{\frac{x}{80}\times 2 \times 14 + \frac{y}{132} \times 2 \times 14}{x+y}\)x 100

= 30.4

x : y = 2 : 1

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