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NEET CHEMISTRYSome Basic Concepts of ChemistryMedium

Question

Suppose that the elements XX and YY combine to form two compounds XY2XY_2 and X3Y2X_3Y_2. If 0.1 mole0.1 \text{ mole} of XY2XY_2 weighs 10 g10 \text{ g} and 0.05 mole0.05 \text{ mole} of X3Y2X_3Y_2 weighs 9 g9 \text{ g}, the atomic weight of XX and YY, respectively, will be:

A

40, 30

B

60, 40

C

20, 30

D

30, 20

Step-by-Step Solution

Let the atomic weight of element XX be xx and that of element YY be yy. The molar mass of a substance is the mass of one mole of that substance. For XY2XY_2: Molar mass =x+2y= x + 2y We are given that 0.1 mole0.1 \text{ mole} of XY2XY_2 weighs 10 g10 \text{ g}. Therefore, the mass of 1 mole1 \text{ mole} of XY2=100.1=100 gXY_2 = \frac{10}{0.1} = 100 \text{ g}. So, x+2y=100x + 2y = 100 --- (Equation 1)

For X3Y2X_3Y_2: Molar mass =3x+2y= 3x + 2y We are given that 0.05 mole0.05 \text{ mole} of X3Y2X_3Y_2 weighs 9 g9 \text{ g}. Therefore, the mass of 1 mole1 \text{ mole} of X3Y2=90.05=180 gX_3Y_2 = \frac{9}{0.05} = 180 \text{ g}. So, 3x+2y=1803x + 2y = 180 --- (Equation 2)

Subtracting Equation 1 from Equation 2: (3x+2y)(x+2y)=180100(3x + 2y) - (x + 2y) = 180 - 100 2x=80    x=402x = 80 \implies x = 40

Substituting the value of xx in Equation 1: 40+2y=100    2y=60    y=3040 + 2y = 100 \implies 2y = 60 \implies y = 30

Therefore, the atomic weights of XX and YY are 4040 and 3030 respectively.

Exam Context & Concepts Covered

This question aligns with the NEET CHEMISTRY syllabus, specifically targeting concepts from Some Basic Concepts of Chemistry. Mastering this topic is crucial for scoring well in the upcoming medical entrance examinations. Solving conceptually related problems will help you understand the nuances of these concepts and improve your problem-solving speed.

CHEMISTRYSome Basic Concepts of Chemistrysupposeelementscombinecompoundsweighs

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