A mercury barometer like that of Fig. 3-12 is used to measure atmospheric pressu

Question

A mercury barometer like that of Fig. 3-12 is used to measure atmospheric pressure. The mercury column height is 72.9 cm. Unbeknownst to the engineer, air has leaked into the top part of the barometer so that instead of zero pressure, the pressure there is 2,510 pascals. What is the (incorrect) atmospheric pressure reading in kPa. assuming that nobody knows about the leak? What is the actual (correct) atmospheric pressure in kPa? Calculate the percentage error due to the air that leaked into the barometer.

Explanation / Answer

The diagram is not there. But still i will try. i) Incorrect reading = height *density of mercury * g = 97161.12 Pa = 97.12 kPa ii)Actual pressure = 97.12+2.51 = 99.67 kPa iii) Percentage error = (2.51*100/99.67)=2.518%

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