question archive 1) Given dU = CvdT, show (in three or more steps) that ΔU = CvΔT

1) Given dU = CvdT, show (in three or more steps) that ΔU = CvΔT

Subject:ChemistryPrice: Bought3

1) Given dU = CvdT, show (in three or more steps) that ΔU = CvΔT. All steps must be mathematically correct.

2. Given dH = CpdT, show (in three or more steps) that ΔH = CpΔT. All steps must be mathematically correct.

3. Given dH = Cp,mdT, show (in three or more steps) the expression for ΔH. All steps must be mathematically correct. Cp,m = a+bT+c/T2.

4. For a linear molecule, the molar heat capacity at constant volume is given by Cv,m = (∂Um/∂T)v. Calculate the value of Cv,m  (J/moleK).

Given f(x,y) = ax3y + by2

5. Derive (∂f/∂x)y.

6. Derive (∂f/∂y)x.

7. Write the expression for df.

8. Show the f(x,y) is a state function.

9. For the reaction CaCl2(s) ? Ca2+(aq) +  Cl-(aq)

Balance the equation.

10. Using the data in Table 1, Calculate ΔrH?(kJ)      .

 

Table 1 

Species                       ΔfH?(kJ/Mole)                         

CaCl2(s)                     -795.8                        

Ca2+(aq)                      -542.83                       

Cl-(aq)                        -167.16       

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