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Effect of Pressure on Matter

The barometri...

Question

The barometric height of a mercury barometer at sea level is 76 cm. Calculate the atmospheric pressure at sea level (density of mercury =13600 kg/m³and g=9.8 m/s²)

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Solution

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$p r e s s u r e = p r e s s u r e a t t h e b o t t o m o f b a r r o m e t e r b y h e i g h t o f 76 c m o f H g p r e s s u r e = h ρ g h e r e h = 76 c m = 0.76 m ρ = 13.6 * 10^{3} k g / m^{3} g = 9.8 m / s^{2} s o P = 0.76 * 13.6 * 10^{3} * 9.8 = 1.01 * 10^{5} N / m^{2}$

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