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31 August, 23:11

Cinnabar is an ore of mercury that contains only Hg and S. When a 0.350 g sample of cinnabar is heated in oxygen, the ore decomposes completely to yield 0.302 g Hg metal. What is the empirical formula of cinnabar?

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  1. 31 August, 23:35
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    HgS

    Explanation:

    In a 0.350g-sample there are 0.302 g of Hg. Then, there is 0.350 g - 0.302 g = 0.048 g of S. To calculate the empirical formula, we have to follow a series of steps.

    Step 1: Calculate the percent composition

    Hg: (0.302 g / 0.350 g) * 100% = 86.3%

    S: (0.048 g / 0.350 g) * 100% = 13.7%

    Step 2: Divide each percentage by the atomic mass of the element

    Hg: 86.3 / 200.59 = 0.430

    S: 13.7 / 32.07 = 0.427

    Step 3: Divide the numbers by the smallest one

    Hg: 0.430/0.427 ≈ 1

    S: 0.427/0.427 = 1

    The empirical formula is HgS.
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