Question

If the molar volume of a gas at 273 K and 1 atm pressure
is less than 22.4 L, then identify the correct option.
Z < 1, repulsive forces are dominant
Z < 1, attractive forces are dominant
Z > 1, repulsive forces are dominant
Z > 1, attractive forces are dominant​

Answer 1

If the molar volume of a gas at 273 K and 1 atm pressure is less than 22.4 L.

we have to find out the correct option.

1. Z < 1, repulsive forces are dominant
2. Z < 1, attractive forces are dominant
3. Z > 1, repulsive forces are dominant
4. Z >1 , attractive forces are dominant

we know, compressibility

$Z=\frac{V_{real}}{V_{real}}$

molar volume, n = 1 , T = 273K, P = 1 atm

$V_{ideal}=\frac{nRT}{P}$

= $\frac{1\times0.082\times273}{1}$

= 22.4L

but here

$V_{real}<22.4L$

so, Z < 1

we also know,

• Z < 1 then attractive forces . means the real gas occupies less space compared to the ideal gas.
• Z > 1 then repulsive forces, means the real gas occupies more space compared to the ideal gas.
• Z = 1 , no forces, it assumes as ideal gas.

hence for Z < 1, the attractive forces are dominant.

Therefore the correct option is (2) is correct.