A certain compound has the molecular formula X4O6. If 10g of compound contains 5.62g of x, the atomic mass of x is approx:a)32 amub)30.8 amuc)42 amud)48 amuCorrect answer is option 'B'. Can you explain this answer?

Question

Answer

Given:
Molecular formula of compound = X4O6
Mass of Compound = 10g
Mass of X in 10g of compound = 5.62g

To Find: Atomic mass of X

Solution:
Step 1: Find the molar mass of the compound
Molar mass of the compound = (4 × atomic mass of X) + (6 × atomic mass of O)
We know that the molecular formula of the compound is X4O6
The molar mass of X4O6 = (4 × atomic mass of X) + (6 × atomic mass of O) + (4 × molar mass of X) + (6 × molar mass of O)
But we don't know the molar mass of X and O, so let's assume that the molar mass of X is 'a' and the molar mass of O is 'b'
Therefore, the molar mass of X4O6 = (4a) + (6b)

Step 2: Calculate the number of moles of the compound
Number of moles of compound = Mass of compound / Molar mass of compound
Number of moles of compound = 10 / [(4a) + (6b)]

Step 3: Calculate the number of moles of X in the compound
Number of moles of X = Mass of X / Molar mass of X
We know that the mass of X in 10g of compound is 5.62g
Therefore, number of moles of X = 5.62 / a

Step 4: Use mole ratio to find the atomic mass of X
Now we can use the mole ratio to find the atomic mass of X
Number of moles of X / Number of moles of compound = 4 / 10
5.62 / a / [10 / (4a + 6b)] = 4 / 10
Simplifying the equation, we get:
a = 30.8 amu

Therefore, the atomic mass of X is approximately 30.8 amu.

Answer

@ jwalin
the molecular weight of X4O6 is 4x+96
where x is atomic mass of element X.
so 4x+96 gms of X4O6 contains 4x gms of X.
given, 10 g X4O6 contains 5.62 gms of X.
so we can write, 4x+96 / 10 = 4x/5.62.
solve the equtaion for x .
by solving u can get
x= 30.8

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