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Question

We plot the density of water as we heat a sample of ice till it melts, and keep increasing the temperature. Which of these statements is/are incorrect?


A

It is possible for 1 kg of liquid water to occupy the same volume at two different temperatures.

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B

A glass of water is heaviest when the water is at 4C.

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C

As you heat water from 1C to 10C, in a ceramic beaker, assuming the beaker does not expand, the water level will be the lowest at 4C.

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D
The temperature at the bottom of a lake in Russia, which is frozen at the surface, will be the same in the case of a similar lake in Canada.
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Solution

The correct option is B

A glass of water is heaviest when the water is at 4C.


(a) We define density as mass per unit volume. From the graph, it is clear that water can have the same density at two different temperatures. This mean, 1 kg of water can have the same volume at two different temperatures. Given one of those temperatures is below 4C, and the other higher.

(b) This statement does not make much sense without information about volume. The "density” of water is highest at 4C. A glass of water weighing 200 gms at 90C will still weigh 200 gms at 4C, but a 1 cm3 sample from water at 4C will be heavier than the former.

(c) As we heat the sample of water we do not change the quantity or mass of the water. But given a fixed mass, since water reaches highest density at 4C, it will occupy the least volume, hence the water level will be lowest at 4C.

(d) The bottoms of all frozen lakes are at the same temperature of 4C. This is because as the cold temperature of the air starts cooling the water on the surface, the moment it reaches 4C, its density takes the highest possible value (for water), and settles at the bottom of the lake. You will encounter this phenomenon in greater detail in later units.


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