A Chemist was given four unidentified, water-insoluble cubes measuring 1*1*1 cm


Screenshot 2024 01 25 223025

Screenshot 2024 01 25 223025

Step 1 of 5

Given data: Four unidentified, water-insoluble cubes measuring 1×1×1cm labeled A, B, C, and D liquids, whose densities In g mL−1 at 20∘C are water 0.9982, nitromethane 1.1371, toluene 0.8669 and chloroform 1.4832.

Find: we have to arrange the four unknown substances in order of increasing density.

(1) Substance A sank in chloroform.

(2) Substance B floated in water but sank in toluene.

(3) Substance C sank in water but floated in chloroform and nitromethane.

(4) Substance D sank in nitromethane but did not sink as rapidly as Substance A did in nitromethane.

Explanation:

The four substances can be arranged in order of increasing density based on their behaviors in different liquids.

Step 2 of 5

To arrange the four unknown substances (labeled A, B, C, and D) in order of increasing density based on the given observations, we can analyze each observation and make deductions about the relative densities of the substances.

Observation 1: Substance A sank in chloroform.

This observation suggests that substance A has a higher density than chloroform. Therefore, substance A is denser than chloroform.

Explanation:

We can say that if substance A sank in chloroform then it is heavier than chloroform.

Step 3 of 5

Observation 2: Substance B floated in water but sank in toluene.

From this observation, we can infer that substance B has a lower density than water but a higher density than toluene. Therefore, the order of density is water > substance B > toluene.

Explanation:

We can say that substance B is lighter than water but heavier than toluene.

Step 4 of 5

Observation 3: Substance C sank in water but floated in chloroform and nitromethane.

Based on this observation, we can conclude that substance C has a higher density than water but a lower density than chloroform and nitromethane. Therefore, the order of density is chloroform > nitromethane > substance C > water.

Explanation:

We can say that substance C is heavier than water but lighter than chloroform and nitromethane.

Step 5 of 5

Observation 4: Substance D sank in nitromethane but did not sink as rapidly as Substance A did in nitromethane.

This observation suggests that substance D has a lower density than nitromethane but a higher density than substance A. Therefore, the order of density is substance D > nitromethane > substance A.

Explanation:

We can say that substance D is heavier than nitromethane.

Final solution

Based on these deductions, we can arrange the substances as:

Water < Substance B < Substance C < Nitromethane < Substance D < Chloroform < Substance A < Toluene.

Hence the substances can be arranged in the order of increasing density based on whether they sank or floated in various liquids. This is because density determines whether an object will sink or float.

The order based on the given observations is:

Substance B < Substance C < Substance D < Substance A

 

 

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