Prob. 1 In a sample of nitrogen molecules at 20 degrees Celcius, the molecules h
ID: 1986951 • Letter: P
Question
Prob. 1
In a sample of nitrogen molecules at 20 degrees Celcius, the molecules have an rms (root-mean-square) speed of Vrms = 514 m/s.
a.) What is the mass of a nitrogen molecule?
b.) What is the rms speed of the molecules when the temperature is raised to 100 degrees Celcius?
Prob. 2
Given a 50g sample of ice at -5.0 degrees Celcius,
a.) How much heat is required to convert this sample of 50g of ice at 0 degrees Celcius?
b.) How much less heat is required to convert 50g of ice at 0 degrees celcius to 50g of water at 0 degrees Celcius? The specific heat of ice is 2100 J/kgK.
Thnx
Explanation / Answer
Vrms = (3kT/M)
So 514 = (3x 1.3806503 × 10-23 x293/M)
M = 4.59352758 × 10-26 kg
(b) New Vrms = (3 x 1.3806503 × 10-23 x 373 / M) = 336 331.427 m/s
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