City Colleges of Chicago Physical Chemistry for Biochemists Questions

Chemistry 340 Physical Chemistry for Biochemists IFall 2022
This homework set is due on Friday, September 16, 2022
1. How high can a person (assume a weight of 70 kg) climb on one ounce of chocolate, if
the heat of combustion (628 kJ) can be converted completely into work of vertical
2. A mole of sodium metal is added to water. How much work is done on the atmosphere
by the subsequent reaction if the temperature is 25 °C?
3. Show that the function defined by df ( x, y ) =
( y 2 − xy ) dx − x 2 dy is inexact. Test the
integrating factor 1/ xy 2 to see whether it produces an exact differential.
An ideal gas is expanded reversibly and isothermally from 10 bar to 1 bar at 298.15 K.
What are the values of (a) w per mole, (b) q per mole, (c) ∆U , and (d) ∆H . (e) If the ideal
gas expands isothermally against a constant pressure of 1 bar, how much work is done on
the gas?
Calculate the temperature increase and final pressure of helium if a mole is compressed
adiabatically and reversibly from 44.8 L at 0 °C to 22.4 L.
A mole of argon is allowed to expand adiabatically and reversibly from a pressure of 10
bar and 298.15 K to 1 bar. What is the final temperature, and how much work is done on
the argon?
Calculate H °(2000 K) − H °(0 K) for H(g).
For a diatomic molecule the bond energy is equal to the change in internal energy for the
X 2 ( g) = 2X(g)
at 0 K. Of course, the change in internal energy and the change in enthalpy are the same
at 0 K. Calculate the enthalpy of dissociation of O2(g) at 0 K. The enthalpy of formation of
O(g) at 298.15 K is 249.173 kJ mol−1. In the range 0-298 K the average value of the heat
capacity of O2(g) is 29.1 J K −1 mol−1 and the average value of the heat capacity of O(g) is
22.7 J K −1 mol−1. What is the value of the bond energy in electron volts? (When the
changes in heat capacities in the range 0-298 K are considered, the enthalpy of
dissociation at 0 K is 493.58 kJ mol−1. )
9. The heat capacity of a gas may be represented by Cp =α + β T + γ T 2
For N=
26.984 J K −1 mol=
, β 5.910 ×10−3 J K −2 mol−1 , and
2 α
−3.377 ×10−7 J K −3 mol−1. How much heat is required to heat a mole of N2 from 300 K
to 1000 K?

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