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The compound [tex]A_2X[/tex] is 35.8% [tex]A[/tex] by mass. What mass of the compound contains 55.1 g of [tex]A[/tex]?

A) 308 g
B) 154 g
C) 19.7 g
D) 35.8 g

Answer :

The mass of compound containing 55.1g of A is 154g. Correct option is B.

To find the mass of the compound containing 55.1g of A, we can use the given percentage of A in the compound. Since the compound A2X is 35.8% A by mass, this means that for every 100g of the compound, 35.8g is A. To find the mass of the compound containing 55.1g of A, we can set up a proportion:

35.8g A / 100g compound = 55.1g A / x g compound

Cross-multiplying gives:

(35.8g A) * (x g compound) = (55.1g A) * (100g compound)

Simplifying, we get:

x g compound = (55.1g A) * (100g compound) / (35.8g A)

Calculating the value of x gives:

x g compound = 154g

Therefore, the correct answer is B) 154g.

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