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Chapter 3: Problem 97

The atomic mass of element \(X\) is 33.42 amu. A 27.22-g sample of X combines with 84.10 g of another element \(Y\) to form a compound XY. Calculate the atomic mass of \(Y\).

Short Answer

Expert verified
The atomic mass of element Y is approximately 103.17 amu.

Step by step solution

01

Calculate the ratio of mass

First, calculate the ratio of the masses of X and Y in the compound. This is done by dividing the mass of Y by the mass of X, which is \( \frac{84.10g}{27.22g} \)
02

Perform the calculation

Perform the division to get the mass ratio. The value obtained will be approximately 3.089.
03

Calculate the atomic mass of Y

To calculate the atomic mass of Y, multiply the atomic mass of X by the mass ratio. This gives \(33.42 amu \times 3.089\).
04

Perform the final calculation

Perform the multiplication to get the atomic mass of Y, which is approximately 103.17 amu.

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