JAMB Physics 1987 Question 19

Question 19

Gas Laws

As a result of air at the top of a barometer, the height of the mercury column is 73.5 cm when it should be 75.0 cm; the volume of the space above the mercury is 8.0 cm3. Calculate the correct barometric height when the barometer reads 74.0 cm and the volume of the space above the mercury is 6.0 cm3.

  1. A.72.0 cm
  2. B.74.5 cm
  3. C.75.1 cm
  4. D.76.0 cm.
Show the answer and explanation

Answer: D (76.0 cm.)

Explanation

The trapped air's pressure is first 75.0 − 73.5 = 1.5 cmHg. Boyle's law: 1.5 × 8 = p × 6, so p = 2 cmHg. True height = 74.0 + 2 = 76.0 cm.