# Problem: Distribution of molecular speeds for nitrogen gas. (a) The effect of temperature on molecular speed. The relative area under the curve for a range of speeds gives the relative fraction of molecules that have those speeds. (b) Position of most probable (ump), average (uav ), and root-mean-square (urms) speeds of gas molecules. The data shown here are for nitrogen gas at 0 °C. Estimate the fraction of molecules at 100 °C with speeds less than 300 m/s.a) about a quarter b) about a third c) about a half d) about one-sixth

###### FREE Expert Solution

Using the plot, we will estimate the fraction of molecules moving at speeds less than 300 m/s at 100°C (red line).

• x-axis  = speed in m/s
• y-axis =  fraction of molecules
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###### Problem Details

Distribution of molecular speeds for nitrogen gas. (a) The effect of temperature on molecular speed. The relative area under the curve for a range of speeds gives the relative fraction of molecules that have those speeds. (b) Position of most probable (ump), average (uav ), and root-mean-square (urms) speeds of gas molecules. The data shown here are for nitrogen gas at 0 °C.

Estimate the fraction of molecules at 100 °C with speeds less than 300 m/s.