Question:
A certain metal sulphide, M\(_2\)S\(_2\), is used extensively as a high temperature lubricant. If M\(_2\)S\(_2\) is 40.06 % by mass sulphur, the atomic mass of metal M is:
A certain metal sulphide, M\(_2\)S\(_2\), is used extensively as a high temperature lubricant. If M\(_2\)S\(_2\) is 40.06 % by mass sulphur, the atomic mass of metal M is:
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In % composition problems, use the given mass % of an element to form an equation involving the molar masses of the compound and its elements. This will help determine the atomic mass of the unknown element.
Updated On: Mar 24, 2025
- 160 u
- 64 u
- 40 u
- 96 u
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The Correct Option is D
Solution and Explanation
\[
MS - 2 = M + 32 \times 2 = M + 64
\]
\[
\% { of sulphur} = \left( \frac{64}{M + 64} \right) \times 100 = 40.06
\]
\[
M + 64 = \frac{6400}{40.06}
\]
\[
M + 64 = 160
\]
\[
M = 160 - 64 = 96u
\]
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