A student investigated the temperature change when different masses of ammonium nitrate were dissolved in water.
| Mass of ammonium nitrate added (g) | Lowest temperature of solution (∘C^{\circ}\text{C}∘C) |
|---|---|
| 5.05.05.0 | 18.518.518.5 |
| 10.010.010.0 | 15.015.015.0 |
| 15.015.015.0 | 11.511.511.5 |
| 20.020.020.0 | 8.08.08.0 |
| 25.025.025.0 | 4.54.54.5 |
Identify the independent variable and the dependent variable in this investigation.
Determine the initial temperature of the water by extrapolating the linear data back to a mass of 0 g0\text{ g}0 g.
State whether the dissolving of ammonium nitrate is exothermic or endothermic, and justify your answer.
The student repeated the experiment four times using 15.0 g15.0\text{ g}15.0 g of ammonium nitrate. The lowest temperatures recorded were 11.2 ∘C11.2\ ^{\circ}\text{C}11.2 ∘C, 11.8 ∘C11.8\ ^{\circ}\text{C}11.8 ∘C, 11.4 ∘C11.4\ ^{\circ}\text{C}11.4 ∘C, and 11.6 ∘C11.6\ ^{\circ}\text{C}11.6 ∘C. Calculate the mean lowest temperature and the uncertainty (using ±range2\pm \frac{\text{range}}{2}±2range). Express your final answer in the format mean±uncertainty\text{mean} \pm \text{uncertainty}mean±uncertainty.