How Do You Calculate the Kinetic Energy of CO, CO2, and SO3 at 276 K?

For CO, CO2 and SO3 at 276 K, the degrees of freedom are 5, 6, and 6 respectively. So, using the equation KE = (1/2)(mass)(velocity)^2, we can calculate the kinetic energy for each molecule. For CO, the kinetic energy is 5.215x10^-21 J, for CO2 it is 6.258x10^-21 J, and for SO3 it is 6.258x10^-21 J. In summary, to calculate the kinetic energy of CO, CO2, and SO3 at 276 K, we need to use the equation KE = (1/2)(mass)(velocity)^2, taking into account the
  • #1
SpottedGreen
1
0

Homework Statement



Calculate the kinetic energy of CO, CO2, and SO3 at 276 K .

Homework Equations



KE = (3/2) RT
KE= (1/2)(mass)(velocity)^2

The Attempt at a Solution


[/B]
For CO:
First attempt: KE=(3/2)(RT)=(3/2)(8.314 J/mol-K)(276K) = 3441.996 -- So that's wrong
Second attempt:
Relative Molecular Mass of CO= 28
6.02x10^23 molecules of CO= 28g
1 molecule of CO= 28/6.02x10^23
4.65x10^-23g
4.65x10^-26kg

Kinetic energy of CO= 1/2(4.65x10^-26)(490^2)
= 5.58x10^-21 J -- according to mastering this is also wrong Thank You
 
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  • #2
SpottedGreen said:
KE = (3/2) RT

I believe this equation applies only to monatomic ideal gases. For molecules, such as CO, CO2, and SO3, you need to calculate the number of degrees of freedom for each of these molecules.
 

Related to How Do You Calculate the Kinetic Energy of CO, CO2, and SO3 at 276 K?

1. What is average kinetic energy of gas?

The average kinetic energy of gas refers to the average energy of all the particles in a gas system. It is a measure of how fast the particles are moving and is directly related to the temperature of the gas.

2. How is average kinetic energy of gas calculated?

The average kinetic energy of gas is calculated using the equation KEavg = 3/2 * k * T, where k is the Boltzmann constant and T is the temperature in Kelvin. This equation is derived from the kinetic theory of gases.

3. What is the relationship between temperature and average kinetic energy of gas?

The average kinetic energy of gas is directly proportional to the temperature of the gas. As the temperature increases, the average kinetic energy of the gas particles also increases. This is because higher temperatures mean the particles are moving faster, resulting in a higher average kinetic energy.

4. How does the mass of gas particles affect the average kinetic energy?

The mass of gas particles does not affect the average kinetic energy of the gas. This is because the average kinetic energy is determined by the temperature of the gas, which is a measure of the average speed of the particles, not their mass.

5. What is the significance of average kinetic energy of gas?

The average kinetic energy of gas is important in understanding the behavior and properties of gases. It helps to explain the relationship between temperature and pressure, and is also used in various thermodynamic equations and calculations.

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