Calculating a particles most probable speed

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Homework Help Overview

The discussion revolves around calculating the most probable speed of diatomic carbon dioxide gas (CO2) given its molar mass and temperature. The problem involves understanding the application of the relevant equation in the context of gas properties.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to apply the equation for most probable speed but questions the correct mass to use, considering both molar mass and individual particle mass. Some participants clarify the need to convert molar mass to the mass of a single particle.

Discussion Status

Participants are actively discussing the correct interpretation of mass in the equation, with some guidance provided on converting units. There is an acknowledgment of the need to clarify the mass used in calculations, but no consensus has been reached on the final approach.

Contextual Notes

The problem does not specify the number of moles, leading to questions about whether the mass should refer to an individual particle or a mole of particles. This ambiguity is a point of discussion among participants.

TFM
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[SOLVED] Calculating a particles most probable speed

Homework Statement



Diatomic carbon dioxide gas (CO2) has molar mass of 44.0 g/mol is at a temperature of 281 Kelvin.

Calculate the most probable speed .

Homework Equations



[tex]V_m_p = \sqrt{\frac{2*k_B*t}{m}}[/tex]

The Attempt at a Solution



[tex]V_m_p = \sqrt{\frac{2*(1.3807*10^-^2^3)*281}{44}}[/tex]

I have also tried with

[tex]V_m_p = \sqrt{\frac{2*(1.3807*10^-^2^3)*281}{0.044}}[/tex]

with m in kg/mol, but to no avail. I am sure this is the right equation,

TFM
 
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The m stands for mass, not mass per mol!

Convert the 44g/mol to kg first.
 
It doesn't specify the number of moles, so is it the mass of an individual particle?

TFM
 
I've just checked and it is.

thanks Nick89 :smile:
 

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