The first law states that energy cannot be created or destroyed, only transferred from one form to another.
Specific heat capacity refers to the amount of heat needed to increase the temperature of a substance by a specific amount per unit mass.
Heat capacity is defined as the amount of heat required to raise the temperature of an object by a certain number of degrees Celsius.
Thermodynamics is the study of relationships involving heat, mechanical work, and other aspects of energy and energy transfer.
Thermodynamic processes are processes that involve changes in the state of thermodynamic systems.
A thermodynamic system can interact with its surroundings or environment in at least two ways, one of which is heat transfer.
The first law of thermodynamics is an extension of the principle of conservation of energy.
The principle includes energy exchange by heat transfer and by the performance of mechanical work and introduces the concept of the internal energy of the system.
In thermodynamics, the quantity of heat, Q, added to the system and the work, W, done by the system are used to describe the energy relations in any thermodynamic process.
Both Q and W may be positive, negative or zero.
The relation between volume and temperature changes for an infinitesimal adiabatic process in an ideal gas is dU = - dW.
For an ideal monoatomic gas, γ = 1.67.
The work done during an adiabatic process is W = - nCV(T1 – T2).
The molar heat capacities of gases at low pressure are shown in Table 6-1.
The gas in the constant-pressure and the constant-volume process is brought at the same temperature change so dU is the same for both processes, then nCpdT = nCVdT + nRdT.
For an ideal diatomic gas, γ = 1.41.
The ratio of heat capacities is defined as γ = Cp/CV.
For an ideal gas the internal energy change in any process is given by ΔU = nCVdT, whether the volume is constant or not.
In thermodynamics, heat flows into the system when Q = (+), and out of the system when Q = (–).
Work is done by the system against its surroundings when W = (+), and on the system by the surroundings when W = (–).
The work done by the system during a volume change is represented by the area under the curve of pressure versus volume between the limits V1 and V2.
If the pressure remains constant while the volume changes from V1 to V2, the work done by the system is W = p(V2 – V1).
In any system in which the volume is constant, the system does no work on the surroundings.
When both heat transfer and work occur, the total change in internal energy is U2 – U1 = ΔU = Q – W.
For a cyclic process, the final state is the same as the initial state, and so the total internal energy change must be zero; then U2 = U1 and Q = W.
For any process taking place in an isolated system, W = Q = 0.
The work done by the system during a transition between two states depends on the path chosen.
Equation (6-5) is the First Law of Thermodynamics, a generalization of the principle of conservation of energy to include energy transfer through heat as well as mechanical work.
In an isolated system, there is no work done on its surroundings and no heat flow to or from its surroundings.
When a thermodynamic system changes from initial state to a final state, it passes through a series of intermediate states known as a path.
When a quantity of heat Q is added to a system which does no work, its internal energy increases by an amount equal to Q; that is, ΔU = Q.
A process that eventually returns a system to its initial state is called a cyclic process.
The change in internal energy is independent of path, unlike Q and W which depend on the initial and final states and the path leading from one state to the other.
During a change of state of the system, the internal energy may change from an initial value U1 to a final value U2.
Internal energy U of a system is defined as the sum of the total kinetic energy of all of its constituent particles and all the total potential energy of interaction among these particles.
In an isolated system, the internal energy is constant.
When the system does work W by expanding against its surroundings and no heat is added during the process, energy leaves the system and the internal energy decreases; then ΔU = -W.
In a constant-volume process, if an infinitesimal quantity of heat dQ flows into the gas, its temperature increases by dT, therefore dQ = nCVdT.
The first law in differential form is given as dU = dQ – dW.