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Question

Question: Assertion In the pressure-temperature (P-T) phase diagram of water, the slope of the melting curve...

Assertion
In the pressure-temperature (P-T) phase diagram of water, the slope of the melting curve is found to be negative.
Reason
Ice contracts on melting to water.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
B Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion.
C. Assertion is correct but Reason is incorrect.
D. Both Assertion and Reason are incorrect.

Explanation

Solution

In this type of questions, we will first check if the assertion is correct. Then, we will check if the reason is correct. Then, we will find if the reason can be taken as a correct explanation for the assertion.

Complete answer:
The pressure-temperature (P-T) phase diagram of water is given below.

As we know, the supply of heat to ice results in the melting of ice to water. By supplying heat, we increase the temperature of ice. From the melting curve, it is clear that the pressure decreases with an increase in temperature during melting. Thus, the slope of the melting curve is negative. Hence, our assertion is proved to be true.

It is to be noted that the density of ice is lesser than water. We can easily prove it by taking a bottle full of water. We will freeze the bottle with the cap on it. If we take the bottle after one day of freezing, we will see a broken bottle. The bottle broke because the volume of ice exceeded the maximum volume the bottle could occupy. Hence, we conclude that when the same amount of water gets converted to ice, the volume increases. A high volume implies low density. Hence, ice has a lesser density than water. So, the distance separating the molecules of ice is greater than the distance separating the molecules of water. Therefore, as the ice melts into water, it contracts. So, the reason is true.

Since ice contracts on melting, it is clear to us that an increase in temperature will result in a reduction in the pressure during the melting process. Hence, the reason gives a proper explanation for the assertion.

Since, both assertion and reason are correct and reason is the correct explanation for assertion, option (A) is correct.

Note: Since ice is a solid substance and water is a liquid, we might think that ice expands on melting, which is wrong. While the majority of solids expand on heating, ice, cast iron and rubber contract on heating.