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Statement-1: Specific heat capacities of...

Statement-1: Specific heat capacities of all substance approach zero as `T to O`
Statement-2: Molecular motion ceases at very low temperature.

A

a. Statement-1 is true, statement-2 is true, statement-2 is a correct explanation for statement-1

B

b. Statement-1 is true, statement-2 is true, statement-2 is not a correct explanation for statement-1

C

c. Statement-1 is true, statement-2 is false

D

d. Statement-1 is false, statement-2 is true

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the statements given in the question, we will break down each statement and assess their validity step by step. ### Step 1: Analyze Statement-1 **Statement-1:** "Specific heat capacities of all substances approach zero as T tends to 0." - **Explanation:** The specific heat capacity of a substance is defined as the amount of heat required to raise the temperature of a unit mass of the substance by one degree Celsius. As the temperature approaches absolute zero (0 Kelvin), the molecular motion of the particles in a substance decreases significantly. At absolute zero, the particles are in their lowest energy state, and thus, the amount of heat required to change their temperature becomes negligible. Therefore, the specific heat capacity approaches zero. ### Step 2: Analyze Statement-2 **Statement-2:** "Molecular motion ceases at very low temperature." - **Explanation:** At very low temperatures, the kinetic energy of the molecules decreases, leading to reduced molecular motion. According to the third law of thermodynamics, as the temperature approaches absolute zero, the entropy of a perfect crystal approaches zero, which implies that molecular motion effectively ceases. Thus, this statement is also true. ### Step 3: Conclusion Both statements are true. Furthermore, Statement-2 provides a valid explanation for Statement-1. The decrease in molecular motion at low temperatures leads to a decrease in specific heat capacity as the temperature approaches zero. ### Final Answer Both Statement-1 and Statement-2 are correct, and Statement-2 is the correct explanation for Statement-1. ---
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