To determine how many kilograms of mercury are needed to fill a 250ml container, the density of mercury is essential. The correct density of mercury is 13,534 kg/m^3, not 0.0136 kg/m^3. Using the relationship between density, mass, and volume, the mass can be calculated by multiplying the volume by the density. Therefore, the mass of mercury required for the container can be accurately calculated using the correct density value. Understanding these concepts is crucial for solving the problem effectively.