Question
Calculate the temperature at which the root mean square speed of hydrogen and oxygen molecules will be equal to their escape velocities from the earth's gravitational field. The radius of the earth is 6400 km.
Take NA=6x1026 mol-1, g-9.8ms-2, kg-1.38x1023JK-1
Answer :
Word Count : 329
To find the temperature at which the root mean square (rms) speed of hydrogen (\(\text{H}_2\)) and oxygen (\(\text{O}_2\)) molecules is equal to their escape velocities from Earth, we use the following relations: ### Step 1: Equating RMS Speed to Escape Velocity The root mean square (rms) speed of a gas molecule is given by: \[ v_{\text{rms}} = \sqrt{\frac{3 k_B T}{m}} \] The escape velocity from ______ ________ ______ ____ ______ ______ ________ ____.
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To find the temperature at which the root mean square (rms) speed of hydrogen (\(\text{H}_2\)) and oxygen (\(\text{O}_2\)) molecules is equal to their escape velocities from Earth, we use the following relations: ### Step 1: Equating RMS Speed to Escape Velocity The root mean square (rms) speed of a gas molecule is given by: \[ v_{\text{rms}} = \sqrt{\frac{3 k_B T}{m}} \] The escape velocity from ______ ________ ______ ____ ______ ______ ________ ____.
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