Question

identifying the relationship between mass and thermal energy transfer
which graph best demonstrates the general relationship between mass and temperature, similar to the trend of thermal energy absorbed by your sand and water samples?

Explanation:

Step1: Recall heat - transfer formula

The formula for heat transfer is $Q = mc\Delta T$, where $Q$ is the heat energy, $m$ is the mass, $c$ is the specific - heat capacity, and $\Delta T$ is the change in temperature. Assuming the same heat energy $Q$ is absorbed (constant $Q$) and the same material (constant $c$), we can rewrite the formula as $\Delta T=\frac{Q}{mc}$. So, $\Delta T$ is inversely proportional to $m$.

Step2: Analyze the graphs

The first graph shows a negative slope, which means as mass increases, temperature decreases. This is consistent with the inverse - relationship between mass and temperature when heat energy is constant. The second graph shows a constant temperature with increasing mass, which is not correct according to the heat - transfer formula. The third graph shows a positive slope, which is also incorrect as the relationship should be inverse.

Answer:

The first graph (the one with a negative slope)