Is the gas monatomic or diatomic?

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In summary, the conversation discusses the calculation of molar heat capacity at constant pressure and constant volume for an ideal gas that has been supplied with 130 J of energy as heat at constant pressure. The resulting temperature increase of 4.00 K is used to determine the molar heat capacity at constant pressure and constant volume, with the equations Cp = Q/T, Cp = Cv + nR, and Cp,m = Cv,m + R. The gas is also identified as being monatomic or diatomic based on its molar heat capacity. The conversation also delves into the formula for calculating molar heat capacity, which involves the rate of change of volume with respect to temperature.
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imy786
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Homework Statement



130 J of energy is supplied as heat to 3.00 moles of an ideal gas at constant pressure, the temperature rises by 4.00 K.

Calculate the molar heat capacity at constant pressure, CP,m and the molar heat capacity at constant volume, CV,m for the gas.

Is the gas monatomic or diatomic?


Homework Equations



Cp= Q/ T

Cp= Cv + nR

Cp,m = Cv,m +R

The Attempt at a Solution



Cp= Q/ T
= 130/ 4= 32.5

Cp= Cv + nR
32.5 = Cv +3 (8.314)

Cv= 7.558

heat capacity at constant pressure Cp = 32.5
at capacity at constant volume Cv = 7.558

how do i go from here to calculate molar heat capacity..
 
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  • #2
Divide Cp by the number of moles. Generally speaking, [tex]Cp=\frac{pdv}{ndt}+Cv[/tex] where Cp and Cv are molar heat capacities at constant pressure and volume.
 
  • #3
Cp = nR + Cv

is nR= pdv/ ndt

what is dv/dt that u have in your formula...is the rate of change of volume...

or volume / temperautre?
 
  • #4
Volume by temperature. You can use the ideal gas equation, PV=nRT, to find it under what ever conditions that are imposed on your system.
 

1. What is the difference between monatomic and diatomic gases?

Monatomic gases, such as noble gases, consist of single atoms that are not bonded to each other. Diatomic gases, such as oxygen and nitrogen, consist of two atoms bonded together.

2. How can you determine if a gas is monatomic or diatomic?

The easiest way to determine if a gas is monatomic or diatomic is by looking at its molecular formula. If the formula has only one element, it is a monatomic gas. If the formula has two elements with a subscript of 2, it is a diatomic gas.

3. Are all noble gases monatomic?

Yes, all noble gases (helium, neon, argon, krypton, xenon, and radon) are monatomic gases.

4. Can a gas be both monatomic and diatomic?

No, a gas can only be classified as either monatomic or diatomic based on its molecular formula. However, some elements, such as oxygen and nitrogen, can exist in both monatomic and diatomic forms depending on their temperature and pressure.

5. Why is it important to know if a gas is monatomic or diatomic?

Knowing if a gas is monatomic or diatomic is important because it affects the gas' physical and chemical properties. For example, monatomic gases have lower melting and boiling points compared to diatomic gases. Additionally, the reactivity and bonding behavior of a gas can also differ depending on whether it is monatomic or diatomic.

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