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Question: When copper oxide is strongly heated with hydrogen, it reduces to copper. The loss in its weight is ...

When copper oxide is strongly heated with hydrogen, it reduces to copper. The loss in its weight is 14.9 g and the weight of water formed was 16.78 g. What is the equivalent weight of oxygen, taking the equivalent weight of hydrogen as 1.008?

A

8.000

B

7.989

C

8.064

D

16.00

Answer

7.989

Explanation

Solution

The reaction is: CuO + H₂ → Cu + H₂O. The loss in weight of copper oxide is due to the removal of oxygen. Weight of oxygen removed = 14.9 g. The weight of water formed is 16.78 g. The mass of hydrogen that reacted to form water is the difference between the mass of water formed and the mass of oxygen: Mass of hydrogen = Weight of water - Weight of oxygen Mass of hydrogen = 16.78 g - 14.9 g = 1.88 g.

Using the law of equivalents: Mass of oxygenEquivalent weight of oxygen=Mass of hydrogenEquivalent weight of hydrogen\frac{\text{Mass of oxygen}}{\text{Equivalent weight of oxygen}} = \frac{\text{Mass of hydrogen}}{\text{Equivalent weight of hydrogen}} Let EOE_O be the equivalent weight of oxygen and EHE_H be the equivalent weight of hydrogen. 14.9 gEO=1.88 g1.008\frac{14.9 \text{ g}}{E_O} = \frac{1.88 \text{ g}}{1.008} Solving for EOE_O: EO=14.9 g×1.0081.88 gE_O = \frac{14.9 \text{ g} \times 1.008}{1.88 \text{ g}} EO=15.01921.88E_O = \frac{15.0192}{1.88} EO7.988936E_O \approx 7.988936 Rounding to three decimal places, the equivalent weight of oxygen is 7.989.