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26 September, 11:24

A 5.60 mol sample of solid A was placed in a sealed 1.00 L container and allowed to decompose into gaseous B and C. The concentration of B steadily increased until it reaches 1.40 M, where it remained constant. A (s) ↽--⇀B (g) + C (g) Then, the container volume was doubled and equilibrium was re‑established. How many moles of A remain?

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  1. 26 September, 11:50
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    The number of remaining moles of A = 2.80 moles

    Explanation:

    Step 1: Data given

    A (s) ⇆ B (g) + C (g)

    Number of moles of solid A = 5.60 mol

    Volume of the container = 1.00 L

    The concentration of B steadily increased until it reaches 1.40 M

    The container volume was doubled and equilibrium was re‑established.

    Step 2: Calculate concentration of solid A

    Concentration = Moles / Volume

    Concentration = 5.6 moles / 1.00 L

    Concentration = 5.6 M

    Step 3: Calculate moles of B

    Moles = Concentration * volume

    Moles = 1.40 M * 1.00 L = 1.40 moles

    Step 4: The volume gets doubled

    Moles B = 1.40M * 2.00 L = 2.80 moles

    Step 5: The balanced equation

    A (s) ⇆ B (g) + C (g)

    Initial concentration of A = 5.6M

    Initial concentration of B and C = 0 M

    Concentration of A at the equilibrium = 5.60 - 2.80 = 2.80

    Remaining moles of A = 2.80 moles

    The number of remaining moles of A = 2.80 moles
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