This integral is the area under the graph off as a function of u and, except in special cases, has to be evaluated numerically by using mathematical software (Fig. 1B.5). The average value of a power of the speed, v", is calculated as (v") = ["v" f(v)dv In particular, integration with n = 2 results in the mean square speed, (²), of the molecules at a temperature T: (شروع) 3RT M Mean square speed ve speeds [KMT] (1B.6) (1B.7)
This integral is the area under the graph off as a function of u and, except in special cases, has to be evaluated numerically by using mathematical software (Fig. 1B.5). The average value of a power of the speed, v", is calculated as (v") = ["v" f(v)dv In particular, integration with n = 2 results in the mean square speed, (²), of the molecules at a temperature T: (شروع) 3RT M Mean square speed ve speeds [KMT] (1B.6) (1B.7)
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![This integral is the area under the graph of f as a function of v
meland, except in special cases, has to be evaluated numerically by
using mathematical software (Fig. 1B.5). The average value of a
power of the speed, v", is calculated as
(v") = ["v" f (v) dv
0
In particular, integration with n = 2 results in the mean square
speed, (²), of the molecules at a temperature T:
3RT
M
(1B.6)
Mean square speed
[KMT]
(1B.7)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdb688f85-aacf-4966-891c-9ccccc50e8d7%2Fe7d57e67-0e3c-481f-b323-274723964b06%2Fp5a8zo8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:This integral is the area under the graph of f as a function of v
meland, except in special cases, has to be evaluated numerically by
using mathematical software (Fig. 1B.5). The average value of a
power of the speed, v", is calculated as
(v") = ["v" f (v) dv
0
In particular, integration with n = 2 results in the mean square
speed, (²), of the molecules at a temperature T:
3RT
M
(1B.6)
Mean square speed
[KMT]
(1B.7)
Transcribed Image Text:Self-test 1B.1 Derive the expression for (v²) in eqn 1B.7 by
evaluating the integral in eqn 1B.6 with n = 2.
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