115年 - 115 國立宜蘭大學_碩士班考試入學招生試題_化學工程與材料工程學系：物理化學 (含熱力學與動力學)#147913

(a) the gas is ideal. (5%)

(b) the equation of state of the gas is P(Vm-b) = RT, with b=0.03 dm3 mol-1. (5%)

(a) w (5%)

(b) q (5%)

(c) ΔH (5%)

(d) ΔS (5%)

(e) ΔG (5%)

(f) ΔA (5%)

(a) Using the Gibbs-Helmholtz equation, calculate the Gibbs energy of reaction (ΔG) at 450 K.Assume that the reaction enthalpy ΔH remains constant over this temperature range. (5%)

(b) Is the decomposition of Ag2O spontaneous under conditions at 450 K? Explain why. (5%)

(c) Calculate the decomposition temperature, defined as the temperature at which ΔG becomeszero. (5%)

第 4 題
0.135 g of an organic nonelectrolyte is dissolved in enough water to make 205 mL of solution at22.4 °C. The osmotic pressure of the solution is 25.6 Torr. Calculate the molar mass of theorganic compound in g per mole. (R = 0.082 L atm/ mol K) (5%)

(a) What is the amount of solid and liquid phase inpercentage? (10%)

(b) Calculate the composition of the solid that separatesand that of the liquid that remains. (10%)

第 6 題(a) Derive the half-life of a first-order reaction is \( t_{1/2} = \frac{\ln 2}{k} \). (5%)

(b) The decay of Iodine-131 (¹³¹I) follows first-order kinetics and has a half-life of 8.0 days.What is the rate constant for the decay process? (5%)

第 7 題
A chemical reaction doubles in speed for every 10 K increase in absolute temperature from roomtemperature (about 295 K). What is the activation energy of the chemical reaction? (5%)