X = 0.444*Y
X = 2.96*12
Y = ?
1 mole of element x has mass, 0.444 times the mass of 1mole of element Y. one average atom of element x has mass 2.96 times the mass of one atom of ^12c. what is the atomic wt. of Y?
3 answers
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Sorry, I made a mistake in my previous response. Let's correct it.
Given:
1 mole of element X has a mass that is 0.444 times the mass of 1 mole of element Y.
An average atom of element X has a mass that is 2.96 times the mass of one atom of ^12C.
Let's assume the atomic weight of Y is A, and the atomic weight of X is B.
From the first statement, we have:
B = 0.444A (equation 1)
From the second statement, we have:
B/M(Na) = 2.96 (equation 2)
Where M(Na) is the molar mass of ^12C.
We can solve this system of equations to find the atomic weight of Y (A).
Substituting equation 1 into equation 2:
0.444A/M(Na) = 2.96
Simplifying:
A(M(Na)) = 2.96/0.444
A(M(Na)) = 6.667
A = 6.667/M(Na)
Now, the molar mass of ^12C (M(Na)) is 12 g/mol.
Substituting the value of M(Na):
A = 6.667/12
A ≈ 0.555 g/mol
Therefore, the atomic weight of Y is approximately 0.555 g/mol.
Given:
1 mole of element X has a mass that is 0.444 times the mass of 1 mole of element Y.
An average atom of element X has a mass that is 2.96 times the mass of one atom of ^12C.
Let's assume the atomic weight of Y is A, and the atomic weight of X is B.
From the first statement, we have:
B = 0.444A (equation 1)
From the second statement, we have:
B/M(Na) = 2.96 (equation 2)
Where M(Na) is the molar mass of ^12C.
We can solve this system of equations to find the atomic weight of Y (A).
Substituting equation 1 into equation 2:
0.444A/M(Na) = 2.96
Simplifying:
A(M(Na)) = 2.96/0.444
A(M(Na)) = 6.667
A = 6.667/M(Na)
Now, the molar mass of ^12C (M(Na)) is 12 g/mol.
Substituting the value of M(Na):
A = 6.667/12
A ≈ 0.555 g/mol
Therefore, the atomic weight of Y is approximately 0.555 g/mol.