Which of the following is an inexact differential?

Therefore, internal energy is a state function (i.e. exact differential), while heat and work are path functions (i.e. inexact differentials) because integration must account for the path taken.

Is dQ an inexact differential?

dU, dG, dH etc are all exact differentials and the variables themselves are known as state functions because they only depend on the state of the system. However, dq and dw for example, are inexact differentials.

Which of the following is exact differential in thermodynamics?

In thermodynamics, when dQ is exact, the function Q is a state function of the system. Generally, neither work nor heat is a state function. An exact differential is sometimes also called a ‘total differential’, or a ‘full differential’, or, in the study of differentialgeometry, it is termed an exact form. Q3.

What is perfect and imperfect differentials?

The definition of the perfect and imperfect differentials are as follow – Perfect differentials – In multivariate calculus, a differential is said to be perfect, as contrasted with an inexact differential, if it is of the form dQ, for some differentiable function Q. It is also called exact differentials.

Is temperature exact or inexact?

The conversions between Celsius, Fahrenheit, and Kelvin temperatures are exact. This means the fractions (5/9 or 9/5) and the number 32 are exact. The number 273.15, in the Celsius to Kelvin temperature conversion, is also exact.

How do you find the exact and inexact differential?

Determine whether the following differential is exact or inexact. If it is exact, determine z=z(x,y). If this equality holds, the differential is exact. Therefore, dz=(2x+y)dx+(x+y)dy is the total differential of z=x2+xy+y2/2+c.

Why is heat not an exact differential?

Heat is an inexact differential in thermodynamics because it is a path dependent not state dependent i.e . it is a path funcion not state function just the work.

Why heat is an inexact differential?