Physics, asked by dileepmaturi, 1 year ago

the absolute temperature of a gas is increased 3 times

Answers

Answered by Swebo
1
The root-mean-square speed urms of gas particles is given by the equation

urms=√3RTMM

where

R is the universal gas constant, for this case 8.314kg⋅m2s2⋅mol⋅K

T is the absolute temperature of the system, in K

MM is the molar mass of the gas, in kgmol

The question is nonspecific for which gas, but we're just asked to find what generally happens to the r.m.s. speed if only the temperature changes, so we'll call the quantity 3RMM a constant, k:

urms-1=√kT

If the temperature is tripled, then this becomes

urms-2=√3kT

To find what happens, let's divide this value by the original equation:

urms-2urms-1=√3kt√kt=√3

Thus, if the temperature is tripled, the root-mean-square speed of the gas particles increases by a factor of √3.

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