A sample of oxygen (O2) and another sample of nitrogen (N2) are at the same temp

ID: 2035896 • Letter: A

Question

A sample of oxygen (O2) and another sample of nitrogen (N2) are at the same temperature.

Part A

The rms speed of the nitrogen sample is ________ the rms speed of the oxygen sample.

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Part B

Calculate the ratio of the rms speed in the nitrogen sample to in the oxygen sample.

A sample of oxygen (O2) and another sample of nitrogen (N2) are at the same temperature.

Part A

The rms speed of the nitrogen sample is ________ the rms speed of the oxygen sample.

The rms speed of the nitrogen sample is ________ the rms speed of the oxygen sample. greater than the same as less than

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Part B

Calculate the ratio of the rms speed in the nitrogen sample to in the oxygen sample.

RMS speed of gases is given by:

Vrms = sqrt (3RT/Mw)

Molecular weight of O2 = 32

Molecular weight of N2 = 28

At constant temperature, We can see that Vrms is inversely proportional to the square root of molecular weight.

Since N2 has lower Mw than O2, So rms speed of N2 will be greater than rms speed of O2

Part B

Vrms_N2/Vrms_O2 = sqrt (Mw_O2/Mw_N2)

Vrms_N2/Vrms_O2 = sqrt (32/28) = 1.069

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