The van der Waals equation reduces itself to the ideal gas equation at (A) high pressure and low temperature (B) - Chemistry - General Principles and Processes of Isolation of Elements

Question

The van der Waals equation reduces itself to the ideal gas equation
at (A) high pressure and low temperature (B) high pressure and high
temperature (C) low pressure and low temperature (D) low pressure
and high temperature

Jaya Bansal · Accepted Answer

Dear student,
At high temperature and low pressure , the Van der
Waal's equation is reduced to Ideal gas equation since the Vander
Waal's equation can be written as:

At low pressure, V increases ( P and V are inversely proportional
to each other) therefore the value of b ( correction in V will be
negligible as V is high) and a/V2 ( V is as denominator
so a/V2 will be very small) become negligible that
modified the Vander Waals equation as:

PV = nRT

Similarly, at high T, V increases as V is directly proportional to
T therfore the value of b and a/V2 become negligible
that modified the Vander Waals equation as:

PV = nRT

Hence option D is correct

Regards

The van der Waals equation reduces itself to the ideal gas equation at (A) high pressure and low temperature (B) high pressure and high temperature (C) low pressure and low temperature (D) low pressure and high temperature

At high temperature and low pressure , the Van der Waal's equation is reduced to Ideal gas equation. since the Vander Waal's equation can be written as: