A researcher conducts electrochemical machining (ECM) on

A researcher conducts electrochemical machining (ECM) on a binary alloy (density 6000 kg/m3) of iron (atomic weight 56, valency 2) and metal P (atomic weight 24, valency 4). Faraday's constant = 96500 coulomb/mole. Volumetric material removal rate of the alloy is 50 mm3/s at a current of 2000 A. The percentage of the metal P in the alloy is closest to

Given data:
ρ = 6000 kg /m³ = 6 gm/cc.
MRR (Q) = 50 mm³ /s
50 × 10^–3 CC/S

MRR =	eI
	ρZF

50 × 10^–3 =	e × 2000
	96500 × 6

e = 14.475
and for Iron Atomic weight
A_FE = 56, Valency: r_Fe = 2
For metal P, at weight
(A_t)_p = 24, Valency r_p = 4
Now, let% of P in alloy = x.

1	=	x	×	V_P	+	100 − x	×	V_Ft
e	=	100	×	A_P	+	100	×	A_Fet

1	=	x	×	4	+	2		100 − x
14.75		100		27		56		100

x = 24.48 ≈ 25