The atmospheric pressure is 75cm of hg. Express it in N/m² (density of hg = 13.6×10³ kg/m³ and g=9.8 m/s²)
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Answer:
The height of mercury column in a barometer in a Calcutta laboratory was recorded to be 75 cm. Calculate this pressure in SI and CGS units using the following data : Specific gravity of mercury = 13.6, Density of water =10
3
kg/m
3
,g=9.8m/s
2
at Calcutta.Pressure=hpg in usual symbols.
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ANSWER
Height of the Mercury Column in a Barometer = 75 cm.
For Finding the Pressure in S.I. System, Changing 75 cm into meter.
∴ Height of the Mercury column(h) = 75 cm.
= 0.75 m.
Acceleration due to gravity(g) = 9.8m/s
2
Density of the Water =10 3
kg/m 3
.
=1000kg/m 3
Specific Gravity of the Mercury = 13.6
Specific Gravity of the Substance is the Ratio of the Density of the Substance to the Density of the Water.
∴ Specific Gravity = Density of the Substance /Density of the Water.
⇒ Density of the Mercury(ρ) = 1.3×1000
= 1300kg/m 3
.Now,
Using the Formula,
Pressure(P) = hρg
= 0.75×1300×9.8
= 9555 Pa.
Hence, the Pressure is 9555 Pa.
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