Day 1 test the final temperature

This shows how we found uncertainties based on a set of data. We found the standard derivation, and the STD will be our uncertainty.

This picture shows how we found the final temperature when 2 different temperature water mix together. We need to know the initial temperature, the mass of the water and the specific heat. Then, we need to set up the equation based on the heat the cold water gain equals the heat the hot water lose.

we found that the temperature change is different is because of the specific heat. Again, we address that during thermal transaction, the energy (heat) is same but the temperature may not same. Temperature and heat are 2 different things. Same as the previous question, we set up the equation with mass, change of temperature and specific heat based on the heat gain and lose are same.

This graph shows the temperature change with respect to time when we mix 2 different temperature water together. (I'm not sure if that is water). We found that T(t) = (Ti -Tf)*e^(-at)+Ts;

for this experiment, the function and uncertainty is shown in the graph. 

we draw a conclusion that the rate of cooling is a matter of the material(conductivity), difference between the 2 objects' temperature, mass and cooling time.

We have the rate of heat transfer. dQ/dt = KAT/L, which shows that the rate of cooling is related on the area, conductivity(K) and the difference of temperature.

This question practices that for a system has more than 2 layers, the rate of cooling for each layer is equal, and equal to the rate of cooling of the whole system.

This graph shows the temperature and time increase in temperature when we turn on the immersion coil for 20 seconds to heat a room temperature water. 

This is for the same experiment, but we modify the graph into the heat transferred to with respect to temperature change, and we got a linear function.