Show your work and include units with your answers for full credit. An narrow cy

Question

Show your work and include units with your answers for full credit. An narrow cylindrical jar (diameter = 4.0 cm) is filled to a height of 10.0 cm with molasses ( = 1400 kg/m3). Assume the top of the jar is open to the atmosphere. (a) What is the mass of the molasses? (b) What is the absolute pressure at the bottom of the jar? Give at least five significant figures in your answer. (c) A wider jar of diameter 8.0 cm is also filled to a height of 10.0 cm with molasses. What is the absolute pressure at the bottom of this container? Give at least five significant figures in your answer.

Explanation / Answer

here

dia = 4 cm = 0.04 m
radius = 0.04/2 = 0.02 m
h = 10 cm = 0.10 m

Vlumeof cyclinder = pi * r^2 * h
v = 3.14 * 0.02^2 * 0.10
v = 1.26*10^-4 m^3

mass of mollases = density * volume
M = 1400 *1.26*10^-4
M = 0.1764 kg

Pressure due to mollases :
P1 = rho * g * H
P1 = 1400 * 9.8 * 0.10
P1 = 1372 pascal

Absolute pressure at bottom of jar :

P = Patm + P1
P = 101325 + 1372
P = 102697 pascal or 1.013 atm

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