Read the assertion and reason carefully to mark the correct option out of the option given below. (a) If both assertion and reason are true and the reason is the correct explanation of the reason. (b) If both assertion and reason are true but reason is not the correct explanation of the assertion. (c) If assertion is true but reason is false. (d) If the assertion and reason both are false. (e) If assertion is false but reason is true. Assertion: The molecules of \(0^{\circ} \mathrm{C}\) ice and $0^{\circ} \mathrm{C}$ water will have same potential energy. Reason: Potential energy depends only on temperature of the system. (A) a (B) \(b\) (C) \(\mathrm{c}\) (D) d (E) e

Step by step solution

01

Understand the assertion

The given assertion states that "The molecules of \(0^{\circ} \mathrm{C}\) ice and \(0^{\circ}\mathrm{C}\) water will have the same potential energy." We need to determine if this assertion is true or false.

02

Understand the reason

The given reason is that "Potential energy depends only on the temperature of the system." We need to determine if this reason is true or false and if it provides the correct explanation for the assertion.

03

Evaluate the assertion

The assertion is false. Although the ice and water might have the same temperature, the potential energy of their molecules is not the same. In ice, the water molecules are held together in a rigid lattice structure, and a certain amount of energy is required to break these bonds and change the state from solid to liquid. This implies that the potential energy of the molecules in ice is higher than that of liquid water at the same temperature.

04

Evaluate the reason

The given reason is also false. Though temperature is directly related to the kinetic energy of the molecules in a system, potential energy is a result of the interaction between molecules in the given substance. Factors responsible for varying potential energy can include state of matter, presence of strong/weak intermolecular forces, and other factors not correlated to temperature.

05

Choose the correct option

Since the assertion is false and the reason is also false, the correct option is (D): "If the assertion and reason both are false."

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