A thermodynamic process undergoes a cyclic process ABCDEBFGA as shown in the figure. Find the quantity of heat supplied to the system over one complete cycle.

Options

A. `(pi)/(4)`
B. `(3pi)/(2)`
C. `2 pi`
D. `(5 pi)/(2)`

Answer

C

Explanation

`Delta Q = Delta U + Delta W = Delta W`
[ `:. Delta U = 0` (cyclic process) ]
`= [pi ((3)/(2))^(2) - pi ((1)/(2))^(2)] = (pi)/(4) (9 - 1) = 6.28 J`