Interpretation:
The set of equations (or a small program) to evaluate the constant-volume heat capacity for a moleculeis to be stated. The graph of the result is to be plotted. The trend for the same is to be stated. The heat capacity versus temperature (say from
Concept introduction:
The heat capacity at constant volume for nonlinear polyatomic molecule is given by the formula,
Where,
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Answer to Problem 18.59E
The set of equations (or a small program) to evaluate the constant-volume heat capacity for a molecule are,
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The plot between
The plot between
Explanation of Solution
The heat capacity at constant volume for nonlinear polyatomic molecule is given by the formula,
The set of equations(or a small program) to evaluate the constant-volume heat capacity for a molecule are shown below.
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The vibrational temperatures for
Substitute the value of vibrational temperatures for
The value of
The plot between
Figure 1
The three vibrational temperatures for
Substitute the value of vibrational temperatures for
The value of
The plot between
Figure 2
The set of equations (or a small program) to evaluate the constant-volume heat capacity for a molecule are,
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•
The plot between
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Chapter 18 Solutions
Physical Chemistry
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- When 178 J of energy is supplied as heat at constant pressure to 1.9 mol of gas molecules, the temperature of the sample increases by 1.78 K. Calculate the molar heat capacities at constant volume and constant pressure of the gas.arrow_forwardA linear molecule may rotate about two axes. If the molecule consists of N atoms, then there are 3N- 5 vibrational modes. Use the equipartition theorem to estimate the total contribution to the molar internal energy from translation, vibration, and rotation for (a) carbon dioxide, CO2, and (b) dibromoethyne, C2Br2, at 2000 K. In contrast, a nonlinear molecule may rotate about three axes and has 3N- 6 vibrational modes. Estimate the total contribution to the molar in ternal energy from translation, vibration, and rotation for (c) nitrogen dioxide, NO2, and (d) tetrabromoethene, C2Br4,at 2000 K. In each case, first assume that all vibrations are active; then assume that none is.arrow_forwardThe specific heat capacities of Li(s), Na(s), K(s), Rb(s),and Cs(s) at 25°C are 3.57, 1.23, 0.756, 0.363, and0.242 J K-1 g-1 , respectively. Compute the molar heatcapacities of these elements and identify any periodictrend. If there is a trend, use it to predict the molar heatcapacity of francium, Fr(s).arrow_forward
- Physical ChemistryChemistryISBN:9781133958437Author:Ball, David W. (david Warren), BAER, TomasPublisher:Wadsworth Cengage Learning,