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Question

Match the List-I with List-II: 
List-I  List-II
(a) The highest temperature at which liquid $$CO_2$$ exists (p) $$\frac{V_{real}}{V_{ideal}}$$
 (b) 8a / 27 Rb(q) Critical temperature 
(c) Compressibility factor Z = 3/8 at(r) Ideal gas 
(d) Compressibility factor Z = 1 for(s) $$30.98^oC$$


Solution

$$a.$$ Highest temperature at which liquid $$CO_2$$ exists is $$30.98°C$$ and pressure of at least  $$5-2$$ bar.
$$b.$$ Formula for critical temperature $$(T_C)$$ is given by $$T_C=\cfrac{8a}{27Rb}$$ $$[\text{Maximum temperature at which gas can be liquefied}]$$
$$c.$$ At critical state, $$z=\cfrac{V_{real}}{V_{ideal}}\Longrightarrow z=\cfrac{P_CV_C}{RT_C}$$
as we know critical constants $$V_C=3b,T_C=\cfrac{8a}{27Rb},P_C=\cfrac{a}{27b^2}$$
$$\Longrightarrow z=\cfrac{3}{8}$$
$$d.$$ Compressibility factor $$z=1$$ for ideal gas.
ideal gas has no deviation from $$z=1.$$

Chemistry

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