Prove That ∆H = CP∆T​

tiwarihimanshu791 tiwarihimanshu791

• 26.09.2020
• Physics
• Secondary School

answered Prove that ∆H = CP∆T​ See answer leemashah666 leemashah666

Answer:

From the equation q = n C ∆T, we can say:

At constant pressure P, we have

qP = n CP∆T

This value is equal to the change in enthalpy, that is,

qP = n CP∆T = ∆H

Similarly, at constant volume V, we have

qV = n CV∆T

This value is equal to the change in internal energy, that is,

qV = n CV∆T = ∆U

We know that for one mole (n=1) of an ideal gas,

∆H = ∆U + ∆(pV ) = ∆U + ∆(RT) = ∆U + R ∆T

Therefore, ∆H = ∆U + R ∆T

Substituting the values of ∆H and ∆U from above in the former equation,

CP∆T = CV∆T + R ∆T

CP = CV + R

CP – CV = R

Explanation:

The formula q = n C ∆T represents the heat q required to bring about a ∆T difference in temperature of one mole of any matter. The constant C here is called the molar heat capacity of the body. Thus, the molar heat capacity of any substance is defined as the amount of heat energy required to change the temperature of 1 mole of that substance by 1 unit. It depends on the nature, size, and composition of the system.

In this article, we will discuss two types of molar heat capacity – CP and CV and derive a relationship between Cp and Cv.

New questions in Physics

physics answers what are land and sea breezes explain the formation​ 30. At what height from the earth's surface should an object of 10 kg mass be placed so that its potential energy is 200 J? (Take g = 10 ms ^-2)​ what is the formula of torque in translation emf​ A stone is thrown in a vertically upward direction with a velocity of 15 m/s. If the acceleration of the stone during its motion is 8m /s2 in the down … ward direction, what will be the height attained by the stone and how much time will it take to reach there?​ h. The expansion for the energy stored in a capacitor is i) ½ CV² iii) ½ c² v² ii) ½ QV² iv) ½ Q²v which option is correct ​ Previous Next