1 . A U-tube contains liquid of unknown density. An oil of density 750 kg/m is p
ID: 1289269 • Letter: 1
Question
1. A U-tube contains liquid of unknown density. An oil of density 750 kg/m is poured into one arm of the tube until the oil column is 14.5 cm high. The oil-air interface is then 8.0 cm above the liquid level in the other arm of the U-tube. Find the density of the liquid.
kg/m
2. A helium balloon can just lift a load of 700 N. The skin of the balloon has a mass of 1.20 kg. What is the volume of the balloon?(the density of air is 1.29 kg/m and the density of helium is 0.179 kg/m)
m
Explanation / Answer
Q-1 Pressure on each side of the tube are same.
?gh = ? ' g h '
?h = ? ' h ' ---( 1)
From problem , density of oil ? = 750 kg / m ^ 3
height h = 14.5 cm
height of the column in liquid side h ' = 8 cm
from eq ( 1 ) density of liquid ? ' = ?h/ h '
= 750*14.5 / 8
= 1359.4 kg / m ^ 3 --> Answer to Q-1)
Q-2)
Weight of balloon + weight of load + weight of helium = weight of air displaced.
1.2 * 9.80 + 700 + density of helium * volume * g = density of air * volume * g
711.76 + 0.179 * V * 9.80 = 1.29 * V *9.80
711.76 + 1.7542 V = 12.642 V
711.76 = 10.8878 V
V = 65.4 m3 --> Answer to Q-2)
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