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What is the difference between milk and lime and lime water?

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Answer
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Hint: Before we address this question, it's important to remember that a chemical reaction is a phase in which one or more substances, known as reactants, are transformed into one or more different substances, known as products. Chemical elements or compounds are examples of substances.

Complete answer:
Milk is a heterogeneous mixture that can be characterised as a complex chemical substance in which fat is emulsified as globules, major milk protein (casein), and some mineral matters are colloidal, and lactose is in the form of true solution with some minerals and soluble whey proteins.
Lime: Lime (calcium oxide) is a white solid with a high level of basicity. Slaked lime, which is the chemical compound calcium hydroxide, is formed when lime reacts readily with water. Limewater is an alkaline solution made from calcium hydroxide that is sparingly soluble in water.
Lime water: Lime water is an alkaline solution of calcium hydroxide in water that becomes milky when exposed to carbon dioxide. It is also called slaked lime, \[Ca{\left( {OH} \right)_2}\], water reacts with calcium oxide to produce this substance. When lime is combined with water, only a small portion of it dissolves, forming limewater, while the remainder remains as a suspension known as milk of lime. Limewater is a common ingredient in science experiments and is simple to produce at home.

Note:
As carbon dioxide reacts with a calcium hydroxide solution, it forms a white calcium carbonate precipitate. Limewater is a calcium hydroxide solution. Lime Water becomes milky or cloudy white when carbon dioxide is bubbled into it.