Final answer:
The sample with the greatest average kinetic energy of water molecules is 10g of water at 55°C.
Step-by-step explanation:
The average kinetic energy of water molecules is directly related to their temperature. It can be calculated using the formula KE = 1/2 * m * v^2, where KE is the kinetic energy, m is the mass, and v is the velocity of the water molecules.
In this case, each sample has the same mass of 10g or 100g, so we can ignore the mass term in the equation. The sample with the highest temperature will have the highest average kinetic energy because temperature is directly proportional to the velocity of the water molecules.
Therefore, the sample with the greatest average kinetic energy of water molecules is 10g of water at 55°C.