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Assertion: The isothermal curves interse...

Assertion: The isothermal curves intersect each other at a certain point.
Reason: The isothermal changes takes place rapidly, so the isothermal curves have very little slope.

A

If both assetion and reason are true and reaasons is the correct expanation of assetion

B

If both assetion and reason are tur but reason is not the correct explanation of assetion

C

If assertion is true but reason is false

D

If both assertion and reason are false.

Text Solution

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The correct Answer is:
To solve the question, we need to analyze both the assertion and the reason provided. ### Step 1: Understand the Assertion The assertion states that "The isothermal curves intersect each other at a certain point." - **Isothermal Process Definition**: An isothermal process is a thermodynamic process in which the temperature of the system remains constant. For an ideal gas, this means that the product of pressure (P) and volume (V) is constant (PV = constant). - **Isothermal Curves**: These curves represent the relationship between pressure and volume at constant temperature. For different temperatures, the isothermal curves will be hyperbolas in the PV diagram. ### Step 2: Analyze the Assertion - **Do Isothermal Curves Intersect?**: Isothermal curves for different temperatures do not intersect. Each curve corresponds to a specific temperature, and since the temperature is constant along each curve, they cannot meet at a single point without violating the laws of thermodynamics. Therefore, the assertion is **false**. ### Step 3: Understand the Reason The reason states that "The isothermal changes take place rapidly, so the isothermal curves have very little slope." - **Nature of Isothermal Changes**: Isothermal processes occur very slowly to ensure that the temperature remains constant. This means that the system is in thermal equilibrium with its surroundings, allowing heat to flow in or out as necessary. - **Slope of Isothermal Curves**: The slope of the isothermal curves in a PV diagram is determined by the relationship between pressure and volume. Since isothermal processes occur slowly, the slope is not "very little" but rather reflects the nature of the gas behavior under constant temperature. ### Step 4: Analyze the Reason - **Isothermal Changes**: Since isothermal processes occur slowly, the statement that they take place rapidly is incorrect. Thus, the reason is also **false**. ### Conclusion Both the assertion and the reason are false. ### Final Answer The correct option is that both the assertion and the reason are false. ---
To solve the question, we need to analyze both the assertion and the reason provided. ### Step 1: Understand the Assertion The assertion states that "The isothermal curves intersect each other at a certain point." - **Isothermal Process Definition**: An isothermal process is a thermodynamic process in which the temperature of the system remains constant. For an ideal gas, this means that the product of pressure (P) and volume (V) is constant (PV = constant). - **Isothermal Curves**: These curves represent the relationship between pressure and volume at constant temperature. For different temperatures, the isothermal curves will be hyperbolas in the PV diagram. ...
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