A gas at 350K and 15bar has molar volume 20 percent smaller than that for an ideal gas under the same conditions. The correct option about the gas and its compressibility factor (Z) is:
- AZ>1 and attractive forces are dominant
- BZ>1 and repulsive forces are dominant
- CZ<1 and attractive forces are dominant
- DZ<1 and repulsive forces are dominant
Solution & Step-by-step Explanation
Compressibility factor Z=
V
ideal
V
real
.
Given V
real
is 20% smaller than V
ideal
⟹V
real
=0.8V
ideal
.
Z=0.8, so Z<1.
When Z<1, it means the gas is more compressible than expected, which indicates that attractive forces are dominant between the gas molecules.
V
ideal
V
real
.
Given V
real
is 20% smaller than V
ideal
⟹V
real
=0.8V
ideal
.
Z=0.8, so Z<1.
When Z<1, it means the gas is more compressible than expected, which indicates that attractive forces are dominant between the gas molecules.