States of Matter - Result Question 52

52. Match the gases under specified conditions listed in Column I with their properties/laws in Column II.

Column I Column II
A. Hydrogen gas $(p=200 \hspace {1mm} atm$, $T=273 K)$ p. Compressibility factor $\neq 1$
B. Hydrogen gas $(p \sim 0, T=273 \hspace {1mm} K)$ q. Attractive forces are dominant
C. $CO _2(p=1 \hspace {1mm} atm, T=273 \hspace {1mm} K)$ r. $p V=n R T$
D. Real gas with very large molar volume s. $p(V-n b)=n R T$

$(2007,6 M)$

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Answer:

Correct Answer: 52. $(A \rightarrow p,s; \hspace{1mm} B \rightarrow r;\hspace{1mm} C \rightarrow p,q; \hspace{1mm} D \rightarrow r)$

Solution:

A. At $p=200 \hspace {1mm} atm$, very high pressure, $Z>1$. Also, at such a high pressure, the pressure correction factor $\left(\dfrac{n^{2} a}{V^{2}}\right)$ can be ignored in comparison to $p$.

B. At $P \sim 0$, gas will behave like an ideal gas, $p V=n R T$.

C. $CO _2(p=1 \hspace {1mm} atm, T=273 K), Z<1$.

D. At very large molar volume, real gas behaves like an ideal gas.