The pressure in interplanetary space is estimated to be...

The pressure in interplanetary space is estimated to be approximately 10-14 Pa. If one assumes a temperature of 50 K and space gas to be H2, calculate: the average number of molecules per cubic centimeter; the intermolecular collision frequency the mean free path in miles

Transcript

00:01 Hello students, we are given by a question in which we have the temperature 50 kelvin and the radius of the hydrogen is 1 .20 angstrom at the pressure 10 % to the 5 .14 pasters.

00:14 The atomic mass of the hydrogen gas is 2 into 10 .m.

00:19 Minus 3 kilogram.

00:20 We have to find the mean free path and the collision frequency.

00:24 So, firstly we start with the mean free path.

00:29 It is very.

00:30 Represented by lambda and its formula is kb t divided by root 2 5 t square into p where kb is the bolt and constant t is the temperature pi is the value that is 3 .14 t is the diameter of the radius of hydrogen and p is the pressure now we have to find the diameter so diameter is equal to we have the formula that diameter is equal to 2 into radius of the hydrogen so it is equal to 2 multiply by radius of hydrogen is 1 .20 angusrum and when we calculate it it is equal to 2 .40 angusdum now we have to put the values in the formula so kb is the bolshek constant and its value is 1 .38 into 10 rich to the power minus 23 into temperature is 50 kelvin divided by 2 into pi is 3 .14 into diameter is 2 .40 and we have to convert angostrom into the meter so that is 10 rations to power minus 10 meters and diameter square into pressure is 10 risk to power minus 14 pascal now we have to calculate this value and when we calculate this value the mean free path is found to be it is equals to lambda is equal to 2 .698 into 10 rich to the power 11 meters but we have to convert the lambda that is the mean free path into the miles so that is equals to 167645947 .9 .7 miles.

02:28 So the final answer is that the mean free path, mean free path is equal to 1676459594 7 .76 miles...

Question

The pressure in interplanetary space is estimated to be approximately 10-14 Pa. If one assumes a temperature of 50 K and space gas to be H2, calculate: the average number of molecules per cubic centimeter; the intermolecular collision frequency the mean free path in miles

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