International Journal of Materials Lifetimec, 2015, Vol. 2, No. 1, 30-37
Available online at http://pubs.sciepub.com/ijml/2/1/5
© Science and Education Publishing
DOI:10.12691/ijml-2-1-5
Functional Influence Evaluation of Copper Addition and
Pb-Sb-Cu Alloy Melting Temperature on the Alloy
Electrical Conductivity
C. I. Nwoye
1,*
, S. O. Nwakpa
1
, V. U. Nwoke
1
, D. D. Abubakar
1,2
, C. C. Nwangwu
1
, I. Obuekwe
1,3
1
Department of Metallurgical and Materials Engineering, Nnamdi Azikiwe University, Awka, Nigeria
2
Ajaokuta Steel Company, Kogi State, Nigeria
3
Scientific Equipment Development Institute, Enugu, Nigeria
*Corresponding author: nwoyennike@gmail.com
Received March 19, 2015; Revised June 17, 2015; Accepted June 22, 2015
Abstract Studies were carried out to evaluate the functional influence of copper addition and Pb-Sb-Cu alloy
melting temperature on the alloy electrical conductivity. The alloy was cast by pouring a stirred mixture of heated
Pb-Sb alloy and powdered copper into a sand mould and then furnace cooled. Results of electrical test carried out
indicate that the electrical conductivity of the Pb-Sb-Cu alloy increases with increase in the melting temperature of
the Pb-Sb-Cu alloy. This invariably implied decrease in the electrical resistance and resistivity of the alloy with
increase in the melting temperature, in accordance with findings that the minimum additional energy (energy gap)
which a bonding electron must acquire to conduct electricity, decreases with decrease in the electrical resistance,
resistivity and with increasing temperature. Increased copper addition (5- 45g) to the base alloy (Pb-Sb) was
discovered to increase correspondingly the electrical conductivity. This is attributed to the increased melting
temperature of the alloy as a result of increased impurity atoms in the alloys in the form of copper. In order to
complement the experimental result, a model was derived and used as a tool for evaluating the functional influence
of the two process parameters; copper input and alloy melting temperature on the electrical conductivity of Pb-Sb-
Cu alloy. The derived model is expressed as; α = 0.0074 ɤ
2
- 0.0031ɤ + 0.0325 T
2
– 26.9945 T + 5693.357 The
validity of the two-factorial model was found to be rooted on the expression 1.756 x 10
-4
α - 1= 1.3 x 10
-6
ɤ
2
+ 5.71 x
10
-6
T
2
– 5.44 x 10
-7
ɤ – 4.74 x10
-3
T where both sides of the expression are correspondingly approximately equal.
Statistical analysis of the derived model-predicted, regression model-predicted and experimental results for each
value of copper mass-input and alloy melting temperature considered shows standard errors of 3.0470, 0.0002 &
4.3231% and 2.7140, 0.0004 & 2.2943% respectively. Furthermore, electrical conductivity per unit copper mass-
input as obtained from derived model-predicted, regression model-predicted and experimental results are 0.7862,
0.7025 and 0.835 (Ωm)
-1
g
-1
respectively. Similarly, electrical conductivity per unit rise in the alloy melting
temperature as obtained from derived model-predicted, regression model-predicted and experimental results are
2.0966, 2.2086 and 2.2267 (Ωm)
-1
/
0
C respectively. Deviational analysis indicates that the maximum deviation of
derived model-predicted electrical conductivity from experimental results is less than 4%; implying over 96% viable
model operational confidence level.
Keywords: influence evaluation, copper addition, Pb-Sb-Cu alloy, melting temperature and alloy electrical
conductivity
Cite This Article: C. I. Nwoye, S. O. Nwakpa, V. U. Nwoke, D. D. Abubakar, C. C. Nwangwu, and I.
Obuekwe, “Functional Influence Evaluation of Copper Addition and Pb-Sb-Cu Alloy Melting Temperature on the
Alloy Electrical Conductivity.” International Journal of Materials Lifetime, vol. 2, no. 1 (2015): 30-37. doi:
10.12691/ijml-2-1-5.
1. Introduction
Studies [1,2,3] have been carried out to improve the
electrical conductivity of Pb-Sb alloy used as wet cell
battery heads. Blumenthal [1] discovered that addition of
cadmium enhances the electrical conductivity of Pb-Sb
alloy tremendously. It was however, stated that the alloy
cannot find application in battery heads and plates because
Cd is very radioactive and causes a volatile and explosive
reaction when in contact with sulphuric acid for a long
time.
Rollason and Hysel [2] reported that addition of silver
to Pb-Sb alloy increases very significantly the electrical
conductivity of the alloy. It was however, stated that this
increase does not give a stable value due to impurities in
the Ag. It was stated that these impurities are Au, As, Sn,
Cu and S. He further posited that these impurities create
an unstable electrical field in the alloy of Pb-Sb-Ag. It is