Molar specific heat capacities for gases

In summary, molar specific heat capacity for gases is the heat energy required to raise the temperature of one mole of a gas by one degree Celsius. It differs from other types of specific heat capacities by being specific to gases and based on the concept of moles. It is measured through experiments and can be affected by factors such as the type of gas, temperature, pressure, and other substances in the gas mixture. Molar specific heat capacity for gases is used in practical applications such as designing industrial processes, engines, and heating and cooling systems, as well as understanding the behavior of gases in different environments.
  • #1
saubhik
31
0
For an isochoric process,
dV = 0
therefore dW=0
So from 1st of Thermodynamics,
dQ = dU + 0
or, n*Cp*dT = n*Cv*dT (Cp and Cv denote molar heat capacities of the gas at const pressure and volume resp.)

therefore we get Cp = Cv .(how can this be possible once we know Cp - Cv = R ?)
 
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  • #2
If you are heating at constant volume, how does dQ=ncpdT?

If dQ=dU

and dU/dT = cv, then you'll just get Q= ncvΔT
 

1. What is the definition of molar specific heat capacity for gases?

Molar specific heat capacity for gases is the amount of heat energy required to raise the temperature of one mole of a gas by one degree Celsius.

2. How is molar specific heat capacity for gases different from other types of specific heat capacities?

Molar specific heat capacity for gases is specific to gases and is based on the concept of moles, while other types of specific heat capacities may be specific to solids or liquids and are based on mass or volume.

3. How is molar specific heat capacity for gases measured?

Molar specific heat capacity for gases is measured by conducting experiments in which the temperature of a gas sample is raised by a known amount and the heat energy required is measured. This data is then used to calculate the molar specific heat capacity.

4. What factors can affect the molar specific heat capacity for gases?

The molar specific heat capacity for gases can be affected by various factors such as the type of gas, temperature, pressure, and the presence of other substances in the gas mixture.

5. How is molar specific heat capacity for gases used in practical applications?

Molar specific heat capacity for gases is used in various practical applications, such as in the design of industrial processes, engines, and heating and cooling systems. It is also important for understanding and predicting the behavior of gases in different environments.

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