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 $(p=200 atm$,
$T=273 K)$
p. compressibility
factor $\neq 1$
B. Hydrogen gas $(p \sim 0, T=273 K)$ q. attractive forces
are dominant
C. $CO _2(p=1 atm, T=273 K)$ r. $p V=n R T$
D. Real gas with very large molar
volume
s. $p(V-n b)=n R T$

Fill in the Blanks

$(2007,6 M)$

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Solution:

  1. A. At $p=200 atm$, very high pressure, $Z>1$. Also, at such a high pressure, the pressure correction factor $\left(\frac{n^{2} a}{V^{2}}\right)$ 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. $CO _2(p=1 atm, T=273 K), Z<1$.

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



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