A student investigates the rate of cooling of water in a beaker.
The table below shows the temperature θ\thetaθ of the water recorded at regular intervals of time ttt:
| t / st \text{ / s}t / s | θ / ∘C\theta \text{ / } ^\circ\text{C}θ / ∘C |
|---|---|
| 0 | 88 |
| 30 | 81 |
| 60 | 76 |
| 90 | 72 |
| 120 | 69 |
| 150 | 66 |
| 180 | 63 |
(i) Calculate the decrease in temperature Δθ1\Delta \theta_1Δθ1 of the hot water between times t=0 st = 0\text{ s}t=0 s and t=60 st = 60\text{ s}t=60 s. (ii) Calculate the average rate of cooling R1R_1R1 of the water during this interval using the equation:
R1=Δθ1Δt R_1 = \frac{\Delta \theta_1}{\Delta t} R1=ΔtΔθ1where Δt=60 s\Delta t = 60\text{ s}Δt=60 s. Include the unit.
(i) Calculate the decrease in temperature Δθ2\Delta \theta_2Δθ2 of the hot water between times t=120 st = 120\text{ s}t=120 s and t=180 st = 180\text{ s}t=180 s. (ii) Calculate the average rate of cooling R2R_2R2 of the water during this interval using the equation:
R2=Δθ2Δt R_2 = \frac{\Delta \theta_2}{\Delta t} R2=ΔtΔθ2where Δt=60 s\Delta t = 60\text{ s}Δt=60 s.
A student suggests that the rate of cooling is higher when the temperature of the water is higher. State and explain whether the results support this suggestion.
Suggest one suitable addition to the apparatus for an experiment designed to investigate:
301 exam-style questions on CIE IGCSE Physics 2.3 Transfer of thermal energy, covering 2.3.1a Thermal conductors and thermal insulators, 2.3.1b Explaining thermal conduction, 2.3.2 Convection, 2.3.3a Thermal radiation, 2.3.3b Surface colour and texture, 2.3.3c Rate of emission and absorption of radiation, and 2.3.4 Consequences of thermal energy transfer. Each one has a worked solution and a mark scheme showing where the marks go.