In the above question, maximum pressure attainable is

Options

A. `(3)/(4) (a^(5//3) R^(2//3) T^(2//3)_(0))2^(1//3)`
B. `(3)/(2) (a^(2//3) RT^(2//3)_(0))3^(1//2)`
C. `(3)/(2) (a^(1//2) R^(2//3) T^(3//4)_(0))4^(1//3)`
D. `(3)/(2) (a^(1//3) RT^(2//3)_(0))2^(1//3)`

Answer

D

Explanation

`P=R[(T_(0))/(V)+aV^(2)] and V=((T_0)/(2a))^(1//3)`
`implies P=3/2(a^(1)/(3)RT_(0)^(2/3))2^(1/3)`.