Question

The gravity of electrolyte in lead acid battery is an important battery parameter. It was measured that at 0% DOD and 75% DOD, the specific gravity was 1.280 and 1.190 g/ml, respectively. So for this battery, what is the specific gravity of the electrolyte at 50% DOD?

A. 1.160;
B. 1.220;
C. 1.210;
D. 1.230;
E. 1.240;

Answer 1

The specific gravity of the electrolyte in a lead-acid battery at 50% DOD is approximately 1.235 g/ml.

Step-by-step explanation:

The specific gravity of the electrolyte in a lead-acid battery is 1.280 g/ml at 0% DOD (depth of discharge) and 1.190 g/ml at 75% DOD. To find the specific gravity at 50% DOD, we can calculate the average of these two values.

Specific Gravity = (Specific Gravity at 0% DOD + Specific Gravity at 75% DOD) / 2

Specific Gravity = (1.280 + 1.190) / 2 = 1.235 g/ml

Therefore, the specific gravity of the electrolyte at 50% DOD is approximately 1.235 g/ml.

Answer 2

The specific gravity of the electrolyte in a lead-acid battery at 50% depth of discharge is estimated to be 1.220 g/ml through linear interpolation. So the correct option is B.

Step-by-step explanation:

The question relates to the specific gravity of the electrolyte in a lead-acid battery at various depths of discharge (DOD). To find the specific gravity at 50% DOD, we can assume a linear relationship between the specific gravities given at 0% DOD (1.280 g/ml) and 75% DOD (1.190 g/ml). We can apply simple linear interpolation to estimate the specific gravity at 50% DOD.

The range from 0% to 75% DOD represents a change in specific gravity of 1.280 - 1.190 = 0.090. As 50% DOD is ⅓ of the way from 0% to 75% DOD, we can calculate the change in specific gravity for 50% DOD as 0.090 × (50/75) = 0.060. Subtracting this from the initial specific gravity at 0% DOD, we get 1.280 - 0.060 = 1.220 g/ml.

Therefore, the estimated specific gravity of the electrolyte at 50% DOD for this battery is 1.220 g/ml, which corresponds to option B.