Lesson 1, Topic 3
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# Experiment to Determine Apparent Cubic Expansivity of Liquid

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#### Topic Content:

• Experiment to Determine Apparent Cubic Expansivity of Liquid

### Experiment to Determine Apparent Cubic Expansivity of Liquid:

• Weigh a clean dry density bottle and record mass, M1.

• Fill the bottle with liquid whose apparent cubic expansivity is required, replace the stopper, and dry

• Weigh the bottle and liquid, M2

• Suspend the density bottle in a water bath and record the initial temperature of the water bath,  $$\scriptsize \theta_1$$

• Heat the water until it reaches boiling point, some liquid will be expelled through the orifice (opening) of the bottle stopper.

• Continue heating the water bath until no liquid is expelled from the space around the stopper.

• Note and record the final temperature of the water bath, $$\scriptsize \theta_2$$

• Remove the bottle from the bath and reweigh, M3

The Apparent cubic expansivity is calculated as follows:

Mass of empty bottle = M1
Mass of bottle and liquid = M2
Final mass of bottle and liquid = M3
Initial temperature of water =  $$\scriptsize \theta_1$$
Final temperature of water =  $$\scriptsize \theta_2$$
Mass of liquid expelled = M2 – M3
Mass of remaining liquid = M3 – M1
Apparent expansivity = $$\scriptsize Î³_Î±$$

$$\scriptsize Î³_a = \normalsize \frac {volume\: of\: liquid\: expelled}{volume\: of\: liquid\: remaining \: \times \:temperature\: rise}$$

Since mass is proportional to volume,

Apparent cubic expansivity,

$$\scriptsize Î³_a = \normalsize \frac {mass\: of\: liquid\: expelled}{mass\: of\: liquid\: remaining \: \times \:temperature\: rise}$$

$$Î³_a = \frac {M_2 \:- \:M_3}{(M_3\: – \:M_1) \: \times \: (\theta_2\: – \:\theta_1) }$$

### Example 1.3.1:

A density bottle contains 44.25 g of a liquid at 0Â°C and 42.02 g at 50Â°C. Calculate the real cubic expansivity of the liquid. (Linear expansivity of glass = 1.0 Ã— 10-5K-1)

Solution

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#### Responses

1. can someone please explain the third example, its very confusing

2. This is very helpful and I aced my test

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