Exciting Exploration of Ideal Gas Expressions!

Do you know the correct expressions for an ideal gas?

Let's dive into the world of ideal gas expressions and identify the incorrect ones together. Choose the expressions that are incorrect for an ideal gas:

a) du=Cv​dT for an isobaric process
b) Cv​=f(T,v)
c) dh=Cv​dT for an isobaric process
d) Cp​/Cv​ is a function of temperature
e) δw=pdv

The incorrect expressions for an ideal gas among the given options are b) Cv = f(T,v) and c) dh = Cv dT for an isobaric process.

For an ideal gas, it is crucial to understand the correct expressions to work with the properties of gases accurately. Let's break down the incorrect expressions mentioned:

a) du = Cv dT for an isobaric process:

This expression is correct as during an isobaric process, the change in internal energy (du) is equal to the specific heat at constant volume (Cv) multiplied by the change in temperature (dT).

b) Cv = f(T,v):

This expression is incorrect as the specific heat at constant volume (Cv) is not generally a function of temperature (T) and volume (v) for an ideal gas. Cv is a constant value for ideal gas under normal conditions.

c) dh = Cv dT for an isobaric process:

This expression is also incorrect because, during an isobaric process, the change in enthalpy (dh) is equal to the specific heat at constant pressure (Cp) times the change in temperature (dT), not Cv dT.

d) Cp/Cv is a function of temperature:

This statement is false because Cp and Cv are properties of the substance and do not vary with temperature. They remain constant for a specific gas under ideal conditions.

e) δw = pdv:

This expression is valid as it represents the work done in an infinitesimal process for the general case, not limited to ideal gases. It captures the work done during a small change in volume at constant pressure.

Understanding the correct expressions for ideal gases is essential for various applications in thermodynamics and chemistry. It allows scientists and engineers to predict and analyze gas behavior accurately, leading to advancements in numerous industries. Dive deeper into the world of ideal gas expressions to enhance your knowledge and problem-solving skills!

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