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If the temperature of an ideal gas is raised from 10 °C to 230 °C, how...

If the temperature of an ideal gas is raised from 10 °C to 230 °C, how many times faster is the new average (rms) speed of the gas molecules?

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Answer #1

rms velocity is directly proportional to square root of temperature

Vrms α √T

v1/v2 = √(T1/T2)                      ( T1 = 283 K             T2 = 503 K)

v2 = √(503/283) v1

v2 = 1.33v1

the new rms velocity becomes 1.33 times faster

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