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Physics - Pressure and Volume

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1. Calculate the following.
a. 100 ml of liquid A has a mass of 250 g. What is its density, in kg/L? (Note: 1 L = 1000 ml = 0.001 m3)
b. Liquid B has a specific gravity of 0.98. How much does 1 L weigh, in an Earth-standard gravitational field?

2. The pipe shown above expands from an internal diameter of 3 cm to an internal diameter of 8 cm. Water (r = 1000 kg / m3) enters from the left with velocity V1 = 7 m/s and pressure p1 = 250 kPa. Assume (1) that water is inviscid and incompressible, and (2) that the flow is non-turbulent.
a. What is the flow rate F (in m3/s) through the pipe? Is it the same at both ends? Why?
b. What is the velocity V2 at the exit (right end)?
c. What is the static pressure p2 in the large section (right side)?

[See the attached questions file.]

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The pressure and volume calculations are determined. A neat and step-by-step solutions are provided.

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Calculate the following.
a. 100 ml of liquid A has a mass of 250 g. What is its density, in kg/L? (Note: 1 L = 1000 ml = 0.001 m3)
b. Liquid B has a specific gravity of 0.98. How much does 1 L weigh, in an Earth-standard gravitational field?

(a) Mass = 250 g = 0.25 kg and Volume = 100 mL = 0.1 L
Density = Mass/Volume = 0.25/0.1 kg/L = 2.5 kg/L.
(b) Specific weight of the liquid = Specific gravity * Specific weight of water
= 0.98 * 1000 kg/m^3 = 980 kg/m^3 = 980 kg/1000 L = 0.98 kg/L
One L of the liquid weighs 0.98 kg.
...

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