Because Cp has two functions:- 1-To change the internal energy dU. 2-To do work dW in expanding the gas. Where as Cv has only one function of changing the internal energy of the gas....by Hamoud Seif
1.005
The equation Cp - Cv = R is derived from the first law of thermodynamics applied to an ideal gas process. It relates the specific heat capacities at constant pressure (Cp) and constant volume (Cv) of an ideal gas to the universal gas constant (R). This relationship is based on the assumption that the internal energy of an ideal gas depends only on its temperature.
Cv is a for a constant volume, and there is therefore no work done in the expansion whereas as Cp accounts for the work done by the gas during its expansion, as well as the change in its internal energy. Thusly Cp is generally bigger than Cv. Intuitively this would be very simple to work out yourself. We used to have to work this out ourselves back in my day, not just resort to cheap answers on the interweb.
No, the relation Cp - Cv = R does not hold true for solids and liquids. This relation is specific to ideal gases and is known as the Mayer relation. In solids and liquids, the heat capacities are influenced by factors like molecular interactions and phase changes, leading to different relationships between Cp, Cv, and R.
= 1 - qout/qin = 1 - cv(T4-T1)/(cv(Tx-T2)+cp(T3-Tx))
The values of cp (specific heat at constant pressure) and cv (specific heat at constant volume) are different for different gases because the way gases store and release heat energy varies depending on their molecular structure and behavior. Gases with different molecular compositions have different ways of transferring and storing energy, leading to variations in their specific heat capacities.
To find the atomicity of an ideal gas you can use γ = Cp/Cv.
The general gas equation, PV = nRT, is used in the proof of the specific heat capacities relationship (Cp - Cv = R) because it helps relate the pressure, volume, and temperature of a gas to its moles and universal gas constant, allowing for the derivation of Cp and Cv in terms of these properties. This relationship is then utilized to show that the difference between the specific heat capacities at constant pressure and constant volume is equal to the universal gas constant.
When goods are normal, CV > EV.
Wilbert Frederick Koehler has written: 'The ratio of the specific heats of gases, Cp/Cv, by a method of self-sustained oscillations' -- subject(s): Heat, Gases
The coefficient of variation (CV) is a measure of relative variability, indicating the degree of dispersion of a distribution relative to its mean. A high CV value suggests greater variability, while a low CV value suggests more consistency. It is useful for comparing the variability of different datasets with differing units of measurement.