Let f: N->Z be a function defined as f(x)=x-1000. Show that f is an into function.

Although heat is a path function but heat absorbed by the system under certain specific conditions is independent of path. What are those conditions ? Explain.

Consider the following statements and arrange in the order of true/false as given in the codes. S_(1) : Change in state function between two states is a definite quantity and does not depend on path. S_(2) : Intensive properties can't be algebraically added or subtracted. S_(3) : Ration of two extensive properties always result into a parameter that depends on amount of substance. S_(4) : Molar heat capacity is a path function. The correct order of True//false of the above statement is :

Using first law of thermodynamics show that Q and W are path functions.

Statement-1: If the pressure and temperature of a gas sample are doubled then the volume of the gas will remain unchanged. Statement-2: Molar specific heat for an adiabatic process is zero. Statement-3: Heat energy is a path function.

show that the constant function is always differentiable .

Which of the following is a path function

Identify the state functions and path functions out of the following enthalpy, entropy, heat, temperature, work, free energy

Which among the following is a path function?

Categorize these properties into state and path functions. (a) Internal energy , (b) Volume , (c ) Heat , (d) Enthalpy (e) Temperature , (f) Work , (g) Molar heat capacity