Question

If A • B*2 = 1.8 x 10*-7, and C•B/D = 7.2 x 10*-4, find the value of A•D*2/C*2

Answer 1

Answer:

A*D²/C² = 0.347

Explanation:

A*B² = 1.8*10⁻⁷----- (1)

making A subject of formula; A = 1.8 * 10⁻⁷/B² ----(2)

C* B/D = 7.2*10⁻⁴ ----(3)

making C subject of formula; C = D * 7.2*10⁻⁴/B ----(4)

substituting the values of A and C in the equation A*D²/C²

A*D²/C² = (D² * 1.8 * 10⁻⁷/B²)/(D * 7.2*10⁻⁴/B)²

A*D²/C² = (D² * 1.8 * 10⁻⁷/B²)/(D² * 5.184*10⁻⁷/B²)

A*D²/C² = D² * 1.8 * 10⁻⁷/B² * B²/D² * 5.184*10⁻⁷

A*D²/C² = 1.8 * 10⁻⁷/5.184*10⁻⁷

A*D²/C² = 0.347