a scientist has two samples of a substance. both samples have the same temperature. one sample has a mass of 10 g. the other sample has a mass of 20 g. compare the average kinetic energy and total kinetic energy of the particles in each sample.

To compare the average and total kinetic energy of the particles in each sample, we need to understand the formula for kinetic energy.

The formula for kinetic energy (KE) is given by:

KE = 0.5 * m * v^2

Where:
- KE is the kinetic energy
- m is the mass of the object
- v is the velocity of the object

In this scenario, the samples have the same temperature, meaning they both have the same average kinetic energy per particle. Therefore, the average kinetic energy of the particles in each sample is the same.

However, the total kinetic energy will differ since it depends on both mass and velocity. Let's break down the comparison:

1. Sample with 10 g mass:
Since both samples have the same temperature, the average kinetic energy per particle remains the same. Let's assume the velocity of the particles in this sample is v1.
Therefore, the total kinetic energy (TKE1) of the particles in this sample can be calculated as:
TKE1 = number of particles * KE1
= number of particles * (0.5 * 10 g * v1^2)

2. Sample with 20 g mass:
Similarly, let's assume the velocity of the particles in this sample is v2.
The total kinetic energy (TKE2) of the particles in this sample can be calculated as:
TKE2 = number of particles * KE2
= number of particles * (0.5 * 20 g * v2^2)

As we can see, the total kinetic energy of the particles in each sample will differ due to the different masses of the samples, assuming the velocity of the particles remains the same in both samples.

Note: The exact values for the total kinetic energy can only be determined if the velocities of the particles are known.