A refrigerator requires 10 J of work and exhausts 65 J of heat per cycle. What is the refrigerator's coefficient of performance

The refrigerator's coefficient of performance is 5.5.

Explanation:

Given;

work required, W = 10 J

heat exhausts per cycle, Q = 65 J

determine the energy removed from the cold reservoir, which is inside the refrigerator;

10 = 65 - Qc

Qc = 65 - 10

Qc = 55

The coefficient of performance of heat pump used for cooling id given by;

Therefore, the refrigerator's coefficient of performance is 5.5.

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .