9. The temperature dependence of the molar constant-pressure heat capacity of any gas may be represented by the expression where , and are constants. For (ideal gas), , and . Calculate the amount of heat required to raise the temperature of 1 of gas from 300 K to 1000 K at constant pressure.
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The total number of degrees of freedom for a linear molecule is 5 so its internal energy is U = 5/2 RT, its molar heat capacity at constant volume is Cv = 5/2 R and its molar heat capacity at constant pressure will be Cp = 7/2 R.
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