Solution: Mars has an atmosphere composed almost entirely of carbon dioxide, with an average temperature of -63°C.What is the rms speed of a molecule in Mars' atmosphere? Assume  R = 8.315 J/mol•K.Express your answer to two significant figures and include the appropriate units.

Problem

Mars has an atmosphere composed almost entirely of carbon dioxide, with an average temperature of -63°C.

What is the rms speed of a molecule in Mars' atmosphere? Assume  R = 8.315 J/mol•K.

Express your answer to two significant figures and include the appropriate units.

Solution

The root mean square (rms) speed predicts the speed of gaseous molecules with a certain kinetic energy at a specific temperature




Where: R is the universal gas constant (8.315 J/mol-K)

           T is the temperature in Kelvin

           M is the molar mass of the gas (in kg/mol)


We are asked to determine the urms of carbon dioxide in Mars where the temperature is -63°C.


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