Final answer:
The concentration of the analyte is calculated by dividing the number of equivalents of the base used at the equivalence point by the volume of analyte, resulting in a concentration of 4 N for the analyte.
Step-by-step explanation:
To calculate the concentration of the analyte, we use the concept of a titration, where a known concentration of a titrant reacts with an analyte until the equivalence point is reached. Given that 0.4 liters of a 2 N (Normal) base solution is used to reach the equivalence point with 0.2 liters of the analyte, we can first find the number of equivalents of the base:
# equivalents of base = Volume × Normality = 0.4 L × 2 N = 0.8 equivalents
At the equivalence point, the number of equivalents of the acid (analyte) will equal the number of equivalents of the base. Therefore, the analyte also has 0.8 equivalents. To find the concentration in normality (N) of the analyte, we divide the number of equivalents by the volume of the analyte in liters:
Normality of analyte = # equivalents / Volume = 0.8 equivalents / 0.2 L = 4 N
The concentration of the analyte is 4 N. Since the question does not specify the type of acid or base involved, we assume a 1:1 reaction ratio for the titration.