A gas is heated at constant pressure. The fraction of heat energy used to increase the internal

step 1 It is told that a gas is heated at a constant pressure and we have to find the fraction of heat

A gas is heated at constant pressure. The fraction of heat...

Key Concepts

Relationship between Cp and Cv

For an ideal gas, the difference between Cp and Cv is constant and equal to the gas constant R. The ratio ? (gamma), defined as Cp/Cv, is a fundamental quantity that helps determine the fraction of heat that increases internal energy versus that which does work during a process.

Internal Energy

Internal energy is the total energy contained within a system due to the microscopic motions and interactions of its molecules. In the case of an ideal gas, it depends solely on temperature. Its change is directly related to the heat supplied at constant volume and serves as a baseline for energy partitioning during thermodynamic processes.

First Law of Thermodynamics

This law states that energy is conserved in a system, meaning the heat added to a system is equal to the increase in internal energy plus the work done by the system. It provides the framework for analyzing how energy input divides between changing a system’s internal energy and doing work during processes such as constant-pressure heating.

Specific Heat Capacities (Cp and Cv)

Specific heat capacities are properties that describe the amount of heat required to change the temperature of a substance by a unit degree. Cp, the heat capacity at constant pressure, accounts for heat used to both raise temperature and do work due to volume expansion, while Cv, at constant volume, relates solely to the change in internal energy.

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