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JAMB Chemistry 2015 Paper

Question : 23

Total: 64

Solution:

Concept:

At constant pressure, the volume of a fixed mass of gas is directly proportional to its absolute (Kelvin) temperature.

Explanation:

Convert all temperatures from Celsius to Kelvin.

T_1 = 3^\circ\mathrm{C} + 273 = 276\,\mathrm{K}

T_2 = 18^\circ\mathrm{C} + 273 = 291\,\mathrm{K}

Use Charles's law:

\frac{V_1}{T_1} = \frac{V_2}{T_2}

Rearrange to find

V_2

V_2 = \frac{V_1 T_2}{T_1}

Substitute the values:

V_2 = \frac{92\,\mathrm{cm}^3 \times 291\,\mathrm{K}}{276\,\mathrm{K}}

V_2 = \frac{26772}{276}

V_2 = 97.0\,\mathrm{cm}^3

Answer:

The new volume is

97.0\,\mathrm{cm}^3

, which matches option D.

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