5. The rms speed, vms of 1.0 mol of N2 molecules in a box is 1200 ms!. The molecular mass, M for N2 is 28.0 g/mol while its molar heat capacity at constant volume, C, is 20.76 J/mol.K. Assume N2 molecules follow the ideal gas law and there is no heat loss to the surrounding. The universal gas constant, R is 8.314 J/(K.mol). (a) What is the temperature inside the box? (b) What is the average translational kinetic energy of the molecules?

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5. The rms speed, vms of 1.0 mol of N2 molecules in a box is 1200 ms!. The molecular
mass, M for N2 is 28.0 g/mol while its molar heat capacity at constant volume, C, is
20.76 J/mol.K. Assume N2 molecules follow the ideal gas law and there is no heat loss to
the surrounding. The universal gas constant, R is 8.314 J/(K.mol).
(a) What is the temperature inside the box?
(b) What is the average translational kinetic energy of the molecules?
Transcribed Image Text:5. The rms speed, vms of 1.0 mol of N2 molecules in a box is 1200 ms!. The molecular mass, M for N2 is 28.0 g/mol while its molar heat capacity at constant volume, C, is 20.76 J/mol.K. Assume N2 molecules follow the ideal gas law and there is no heat loss to the surrounding. The universal gas constant, R is 8.314 J/(K.mol). (a) What is the temperature inside the box? (b) What is the average translational kinetic energy of the molecules?
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