A chemical analysis of an inorganic compound shows that it contains 40\% of element P , 30\% of element Q , and 30\% of element R by mass. If the respective atomic masses of P, Q , and R are 40 u, 60 u , and 20 u , the

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Correct answer: C. P_2QR_3

Moles of element P = (40)/(40) = 1 Moles of element Q = (30)/(60) = 0.5 Moles of element R = (30)/(20) = 1.5 The molar ratio of P : Q : R is 1 : 0.5 : 1.5 To obtain the simplest whole number ratio, divide by the smallest value ( 0.5 ): P : Q : R = (1)/(0.5) : (0.5)/(0.5) : (1.5)/(0.5) = 2 : 1 : 3 The empirical formula of the compound is P_2QR_3 . Answer: P_2QR_3

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