# 名詞解釋與計算參考:

$C_v$:定容比熱

$C_p$:定壓比熱

$\Delta H$:焓變化

$\Delta U$:內能變化

$q$:熱

$W$:功

$\Delta S$:熵變化

氣體常數 ( gas constant ):$R = 0.08314 \frac{\text{bar} \cdot \text{L}}{\text{mol} \cdot \text{K}} = 8.314 \frac{\text{kPa} \cdot \text{L}}{\text{mol} \cdot \text{K}} = 8.314 \frac{\text{J}}{\text{mol} \cdot \text{K}}$

$\ln 2 = 0.693, \quad \ln 3 = 1.099, \quad \ln 4 = 1.386, \quad \ln 5 = 1.609, \quad \ln 10 = 2.303$

$10^{5/2} = 316.2, \quad 10^{2/5} = 2.511, \quad 10^{5/3} = 46.42, \quad 10^{3/5} = 3.98$

凡得瓦方程式 (van der Waals equation) 之維里 (Virial) 形式:

$$\frac{P \overline{V}}{R T} = 1 + \frac{b - \frac{a}{R T}}{\overline{V}} + \frac{b^2}{\overline{V}^2} + \frac{b^3}{\overline{V}^3} + \dots$$

克勞西斯-克拉泊壞方程式 ( Clausius-Clapeyron equation ):$\ln \frac{P_2}{P_1} = \frac{\Delta H_{vap}(T_2 - T_1)}{R T_1 T_2}$

1. 理想氣體氬氣在定壓下由 $20^{\circ}\text{C}$ 加熱至 $200^{\circ}\text{C}$,則其最後體積為原先體積的若干倍?

(A) 0.62

(B) 1.61

(C) 5

(D) 10