Question

Cp=6.97cal/mol/°c and cv=4.98cal/mol/°c for oxygen.What is rms velocity of its molecules at 27°c

Answer 1

Those whoch i have blocked are formulae.

Plss feel free to ask more doubts

Answer 2

Concept:

• Root mean square velocity
• Specific heat at constant volume
• Specific heat at constant pressure
• The amount of heat needed to raise a substance's temperature by one degree Celsius per gramme is known as its specific heat.

Given:

• Specific heat at constant pressure Cp = 6.97 cal/mol/°c
• Specific heat at constant volume Cv = 4.98 cal/mol/°c
• Temperature = 27 °C = 300 K

Find:

• The RMS velocity of the oxygen molecules

Solution:

R = Cp - Cv = 6.97- 4.98 = 1.99 cal/mol/k = 8.314 J/K mol

Vrms = √3RT/M

R = 8.314 J/K mol

T = 300 K

M = 32 g = 0.032 kg

Vrms = √3*8.314*300/0.032 = 483 m/s

The RMS velocity of the molecules is 483 m/s.

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