question archive 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