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doing a physics review guys need some help thanks!! By what factor must the abso

ID: 1316563 • Letter: D

Question

doing a physics review guys need some help thanks!!

By what factor must the absolute temperature of a gas be increased to triple the rms (v2) speed of its molecules?

A thermistor is a solid-state device widely used in a variety of engineering applications. Its primary characteristic is that its electrical resistance varies greatly with temperature. Its temperature dependence is given approximately by R=R0eBTwhere R is in ohms ?, T is in kelvins, and R0 and B are constants that can be determined by measuring R at calibration points such as the ice point and the steam point. Calculate dRdT!
-(RBT);

T2RB;

-RBT2;

-RBT;

Explanation / Answer

(a)
vrms = sqrt(3RT/M)
From the above the formula, it is clear that in order to triple the rms velocity, the temperature must be NINE TIMES the previous value.

(b)
R = RoeB/T
dR/dT = (-B/T2) * RoeB/T
dR/dT = -BR/T2