Find Specific Heat at Constant Pressure of Gas with Molar Mass M

In summary, the conversation discusses finding the specific heat at constant pressure for a gas with a molar mass of M and a specific heat ratio of y. The correct equation for C_p is C_p=\frac{Ry}{M(y-1)} due to the incorrect dimensions in the proposed solution. The mistake may be found by checking the units and making sure they are consistent.
  • #1
chaoseverlasting
1,050
3

Homework Statement


For a gas of molar mass M, Cp/Cv=y. Find specific heat at constant pressure.



The Attempt at a Solution



[tex]C_p=\frac{Pdv}{ndt}+C_v[/tex]
PV=nRT,
P=constant
[tex]\frac{P}{n} \frac{dv}{dt}=R[/tex]

Substituting in the above equation:
[tex]C_p(\frac{y-1}{y})=R[/tex]
[tex]C_p=\frac{Ry}{y-1}[/tex]

This isn't the answer though, the given answer is [tex]C_p=\frac{Ry}{M(y-1)}[/tex]. Why? How does M come into the picture?
 
Physics news on Phys.org
  • #2
Anybody? Please?
 
  • #3
Have you checked your units ? Your proposed answer has the wrong dimensions.
 
  • #4
Where have I made the mistake? What am I doing wrong?
 

Related to Find Specific Heat at Constant Pressure of Gas with Molar Mass M

1. What is the formula for finding specific heat at constant pressure of a gas?

The formula for finding specific heat at constant pressure of a gas is cp=R/M, where cp is the specific heat at constant pressure, R is the gas constant, and M is the molar mass of the gas.

2. How do you calculate the molar mass of a gas?

The molar mass of a gas can be calculated by dividing the mass of the gas by its number of moles. This can be obtained through the ideal gas law equation, PV=nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature.

3. Why is it important to know the specific heat at constant pressure of a gas?

Knowing the specific heat at constant pressure of a gas is important because it helps determine the amount of energy required to raise the temperature of the gas. This is crucial in various industrial and scientific processes, such as in designing engines and in studying the behavior of gases under different conditions.

4. How does the specific heat at constant pressure of a gas differ from the specific heat at constant volume?

The specific heat at constant pressure of a gas is the amount of energy required to raise the temperature of the gas while keeping the pressure constant. On the other hand, the specific heat at constant volume is the amount of energy required to raise the temperature of the gas while keeping the volume constant. This means that the specific heat at constant pressure is generally higher than the specific heat at constant volume for most gases, as it takes more energy to increase the temperature of a gas while also increasing its volume.

5. Can the specific heat at constant pressure of a gas vary?

Yes, the specific heat at constant pressure of a gas can vary depending on the properties of the gas, such as its molar mass and chemical composition. It can also vary with changes in pressure and temperature. Therefore, it is important to consider these factors when calculating the specific heat at constant pressure of a gas.

Similar threads

  • Introductory Physics Homework Help
Replies
4
Views
1K
Replies
5
Views
2K
  • Introductory Physics Homework Help
Replies
3
Views
243
  • Introductory Physics Homework Help
Replies
2
Views
790
  • Introductory Physics Homework Help
Replies
1
Views
1K
  • Introductory Physics Homework Help
Replies
4
Views
2K
  • Introductory Physics Homework Help
Replies
1
Views
538
  • Introductory Physics Homework Help
Replies
3
Views
869
  • Classical Physics
Replies
6
Views
875
  • Introductory Physics Homework Help
Replies
10
Views
1K

Back
Top