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Assertion Molar heat capacity cannot be ...

Assertion Molar heat capacity cannot be defined for isothermal process.
Reason In isothermal prcess p-V versus T graph is a dot.

A

Both assertion and reson are true and reason is the correct explanation of assertion

B

Both assetion and reason are true but reason is not the correct explanation of assertion

C

Assertion is true but reason is false

D

Both assetion and reason are flase

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AI Generated Solution

The correct Answer is:
To solve the given assertion and reason question, we will analyze both statements step by step. ### Step 1: Understand the Assertion The assertion states that "Molar heat capacity cannot be defined for isothermal process." - **Molar Heat Capacity**: This is defined as the amount of heat required to change the temperature of one mole of a substance by one degree Celsius (or one Kelvin). - **Isothermal Process**: In this process, the temperature of the system remains constant throughout the process. Since molar heat capacity requires a change in temperature to be defined, and in an isothermal process, the temperature does not change, we can conclude that the assertion is correct. ### Step 2: Understand the Reason The reason states that "In isothermal process, the p-V versus T graph is a dot." - **p-V vs. T Graph**: In an isothermal process for an ideal gas, the product of pressure (P) and volume (V) remains constant (PV = nRT, where n is the number of moles and R is the gas constant). - Since the temperature (T) is constant, the graph of pressure-volume (P-V) versus temperature (T) will not show a range of values but rather a single point (dot) at that constant temperature. Thus, the reason is also correct. ### Step 3: Analyze the Relationship Between Assertion and Reason While both the assertion and the reason are correct, the reason does not provide a correct explanation for the assertion. The assertion is about the definition of molar heat capacity, while the reason discusses the nature of the P-V vs. T graph in an isothermal process. ### Conclusion Both the assertion and reason are true, but the reason is not the correct explanation of the assertion. Therefore, the answer is: **Both assertion and reason are true, but reason is not the correct explanation of assertion.** ### Final Answer The correct option is: **B** (Both assertion and reason are true, but reason is not the correct explanation of assertion). ---
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The molar heat capacity for a gas at constant T and P is

(p - V) diagram of (n) moles of an ideal gas is as shown in figure. Find the maximum temperature between (A) and (B). . How to proceed For given number of moles of a gas, T prop pV (p V = nRT) Although (p V)_A = (p V)_B = 2p_0 V_0 or T_A = T_B , yet it is not an isothermal process. Because in isothermal process (p- V) graph is a rectangular hyperbola while it is a straight line. So, to see the behaviour of temperature, First we will find either (T - V) equation or (T _ p) equation and from that equation we can judge how the temperature baries. From the graph, first we will write )p V) equation, then we will convert it either in (T - V) equation or in (T - p) quation with the help of equation, (pV = nRT).

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