Question:
When 1 mol gas is heated at constant volume temp. is raised from 298 to 308 K. Heat supplied to the gas is 500 J. Then which statement is correct : -
When 1 mol gas is heated at constant volume temp. is raised from 298 to 308 K. Heat supplied to the gas is 500 J. Then which statement is correct : -
Updated On: Sep 16, 2024
- q = w = 500 J, ∆U = 0
- q = ∆U = 500J, w = 0
- q = w = 500 J, ∆U = 0
- ∆U = 0, q = w = – 500 J
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The Correct Option is B
Solution and Explanation
The correct options is(B): q = ΔU = 500 J, w = 0.
This is because, in a process conducted at constant volume (isochoric process), no work is done (w = 0), and the heat added to the system (q) directly contributes to the change in internal energy (ΔU) of the gas.
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Concepts Used:
Specific Heat Capacity
Specific heat of a solid or liquid is the amount of heat that raises the temperature of a unit mass of the solid through 1°C.
Molar Specific Heat:
The Molar specific heat of a solid or liquid of a material is the heat that you provide to raise the temperature of one mole of solid or liquid through 1K or 1°C.
Specific Heat at Constant Pressure or Volume:
The volume of solid remains constant when heated through a small range of temperature. This is known as specific heat at a constant volume. It is denoted as CV.
The pressure of solid remains constant when heated through a small range of temperature. This is known as specific heat at constant pressure which can be denoted as CP.