# Thermodynamics nitrogen molecules help

• houseguest
In summary, the conversation discussed the calculation of the rate of collisions for nitrogen molecules at 100 Celsius and a pressure of 2.0 atm, held in a container with a 10cm x 10cm square wall. The equation used for the rate of collisions was corrected to ask for v_x instead of v, and the relationship between v_x and v_rms was clarified. The final result obtained was 1.13 * 10^26, which was previously incorrect due to using the incorrect value for v.
houseguest

## Homework Statement

At 100 Celcius the rms speed of nitrogen molecules is 576 m/s. Nitrogen at 100 Celcius and a pressure of 2.0 atm is held in a container with a 10cm x 10cm square wall.

## Homework Equations

rate of collisions: N_coll/ $$\Delta$$t = (N*A*v_x)/(2V) (this is from my textbook)
ideal gas law: N = PV/k_bT (k_b == Boltzmann constant)

## The Attempt at a Solution

I took that equation and applied the ideal gas law to replace N,
number of collisions = (P*A*v_x)/(2*k_b*T)
= (2 * 101325 Pa)(.1*.1 m^2)(576m/s) / ( 2 * 1.38 * 10^-23 * (100+273.15) )

after plugging in the numbers I got 1.13 * 10^26, but that's wrong. I'm not sure why.

Thanks!

Last edited:
The equation that you use for the rate of collisions is asking for v_x, not v. v_rms is v. The relationship between the two is 3*v_x^2 = v_rms^2. This is because v_x^2+v_y^2+v_z^2=3*v_x^2=v^2.

Ooooh yeeeeeaaah.

THANKS!

## 1. What is thermodynamics?

Thermodynamics is the branch of physics that deals with the relationship between heat, work, temperature, and energy. It studies how energy is transferred and transformed between different forms, and how this affects the behavior of matter.

## 2. How do nitrogen molecules affect thermodynamics?

Nitrogen molecules play an important role in thermodynamics as they are one of the most abundant gases in the Earth's atmosphere and are often involved in chemical reactions and energy transfers. They also have a significant impact on the Earth's climate as they contribute to the greenhouse effect.

## 3. How does thermodynamics relate to the nitrogen cycle?

The nitrogen cycle is a complex biogeochemical cycle that involves the processes of nitrogen fixation, nitrification, denitrification, and ammonification. These processes are driven by thermodynamics, as they involve energy transfers and transformations between different forms of nitrogen.

## 4. Can nitrogen molecules be used to generate energy?

Yes, nitrogen molecules can be used to generate energy through the process of combustion. When nitrogen combines with oxygen in the air, it releases a significant amount of energy, which can be harnessed for various purposes such as powering engines or producing electricity.

## 5. How does thermodynamics explain the behavior of nitrogen molecules at different temperatures?

Thermodynamics helps us understand the behavior of nitrogen molecules at different temperatures through the laws of thermodynamics, which describe how energy is transferred and transformed between different forms. For example, the ideal gas law can be used to predict the behavior of nitrogen molecules at different temperatures and pressures.

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