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In an experiment, 172.1 g of gypsum, CaSO₄·2H₂O (M = 172.1 g mol⁻¹), was heated to constant mass in a large crucible - VCE - SSCE Chemistry - Question 13 - 2011 - Paper 1

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Question 13

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In an experiment, 172.1 g of gypsum, CaSO₄·2H₂O (M = 172.1 g mol⁻¹), was heated to constant mass in a large crucible. The loss in mass of the crucible and contents w... show full transcript

Worked Solution & Example Answer:In an experiment, 172.1 g of gypsum, CaSO₄·2H₂O (M = 172.1 g mol⁻¹), was heated to constant mass in a large crucible - VCE - SSCE Chemistry - Question 13 - 2011 - Paper 1

Step 1

Identify the Reaction

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Answer

When gypsum (CaSO₄·2H₂O) is heated, it undergoes a dehydration reaction, releasing water (H₂O) vapor. In this case, the correct representation of the reaction at elevated temperatures is:

ext{CaSO}_4 ullet 2 ext{H}_2 ext{O}(s) ightarrow ext{CaSO}_4(s) + 2 ext{H}_2 ext{O}(g)

Step 2

Calculate the Mass Loss

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Answer

The mass loss observed in the experiment was given as 27.0 g. This mass directly correlates to the water released when gypsum is heated. The reaction equation shows that 2 moles of water are produced for every mole of gypsum.

Given:

  • Molar mass of CaSO₄·2H₂O = 172.1 g/mol
  • Mass loss = 27.0 g

To find the moles of water lost:

ext{Moles of water} = rac{ ext{mass lost}}{ ext{Molar mass of water}} = rac{27.0 g}{18.02 g/mol} \ ext{ approximately equals } 1.5 ext{ moles}

Step 3

Select the Correct Answer

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Answer

Based on the above analysis, the correct answer is:

B. 2CaSO₄·2H₂O(s) → CaSO₄·H₂O(s) + 3H₂O(g)

This option correctly represents the loss of water when gypsum is heated.

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