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Chapter 1: Problem 45

\(0.5\) moles of a salt contains "3N" oxygen atoms. Identify the formula of the salt. (a) \(\mathrm{MXO}_{3}\) (b) \(\mathrm{MX}_{2} \mathrm{O}_{3}\) (c) \(\mathrm{M}_{2} \mathrm{XO}_{3}\) (d) \(\mathrm{M}\left(\mathrm{XO}_{3}\right)_{2}\)

Short Answer

Expert verified
Question: Determine the correct formula of a salt, given that 0.5 moles of the salt contains 3N oxygen atoms. Answer: (b) MX₂O₃

Step by step solution

01

Calculate the number of oxygen atoms in one mole of the salt

We are given that 0.5 moles of a salt contain 3N oxygen atoms. To find the number of oxygen atoms in one mole of the salt, we will multiply the given number by 2: Number of oxygen atoms in 1 mole = (3N) × 2 = 6N.
02

Identify the formula with the correct number of oxygen atoms

Now, let's compare the number of oxygen atoms in 1 mole of each formula with the calculated number (6N). (a) \(\mathrm{MXO}_{3}\): In this formula, there are 3 oxygen atoms per mole. This is not equal to 6N. (b) \(\mathrm{MX}_{2} \mathrm{O}_{3}\): In this formula, there are 2 × 3 = 6 oxygen atoms per mole. This is equal to 6N. (c) \(\mathrm{M}_{2} \mathrm{XO}_{3}\): In this formula, there are 1 × 3 = 3 oxygen atoms per mole. This is not equal to 6N. (d) \(\mathrm{M}\left(\mathrm{XO}_{3}\right)_{2}\): In this formula, there are 2 × 3 = 6 oxygen atoms per mole. This is equal to 6N.
03

Determine the correct formula

We found that the formulas (b) \(\mathrm{MX}_{2} \mathrm{O}_{3}\) and (d) \(\mathrm{M}\left(\mathrm{XO}_{3}\right)_{2}\) both have 6N oxygen atoms in one mole. However, the question states that the salt "contains" 3N oxygen atoms, not that it "is composed of" 3N oxygen atoms. Based on this interpretation, we can conclude that the correct formula is: (b) \(\mathrm{MX}_{2} \mathrm{O}_{3}\).

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Most popular questions from this chapter

Select the correct alternative from the given choices. When one mole each of \(\mathrm{CO}\) and \(\mathrm{O}_{2}\) are made to react at STP, the total number of moles at the end of the reaction is (a) \(1.5\) moles (b) 1 mole (c) 4 moles (d) 2 moles

Fill in the blanks. The volume of \(\mathrm{CO}_{2}\) liberated at \(\mathrm{STP}\) is on thermal decomposition of \(84 \mathrm{~g}\) of sodium bicarbonate.

\(23 \mathrm{~g}\) of \(\mathrm{NO}_{2}\) contains same number of molecules as (a) \(8 \mathrm{~g}\) of oxygen (b) \(28 \mathrm{~g}\) of carbon monoxide (c) \(16 \mathrm{~g}\) of \(\mathrm{SO}_{2}\) (d) \(22 \mathrm{~g}\) of \(\mathrm{CO}_{2}\)

Fill in the blanks. The number of oxygen molecules required for the complete combustion of 5 moles of methane is

Fill in the blanks. The ratio of the gram atomic weight of nitrogen and oxygen is __
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