The most appropriate method for separating a mixture of sodium chloride (table salt) and ammonium chloride is sublimation.
Here's how the process works:
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Sublimation of Ammonium Chloride: Ammonium chloride is a volatile compound that can easily sublimate when heated. When you heat the mixture, ammonium chloride will change from a solid to a gas and then can be condensed back into a solid upon cooling.
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Separation: As ammonium chloride sublimes, it leaves behind the non-volatile sodium chloride. The gaseous ammonium chloride can be collected by cooling the vapor in a separate container, allowing it to re-solidify.
This method is effective because sodium chloride does not sublime and remains as a solid during the process. Thus, sublimation allows for the effective separation of these two compounds from their mixture.