Physics 5054 · O Level · Thermal properties and temperature

Thermal properties and temperature — practice question

A student is looking at how the temperature of a fixed amount of water changes when hotter water is added. $160\,\text{cm}^3$ of water at $20\,^{\circ}\text{C}$ is poured into a glass measuring cylinder. Fig. 1.1 shows the measuring cylinder.
(a)[2]

There is $160\,\text{cm}^3$ of water in the measuring cylinder. On Fig. 1.1, show the water level and include the meniscus.

(b(i))[2]

The student makes sure that the temperature of the water added on each occasion is $70\,^{\circ}\text{C}$. Suggest how this is done.

(b(ii))[2]

The student carries out the experiment again and gets three sets of readings, as shown in Table 1.1. Calculate the average temperature $\theta_{av}$ for a total volume of hot water added $V = 150\,\text{cm}^3$. Write your answer in Table 1.1 to a suitable number of significant figures.

(b(iii))[4]

On Fig. 1.2, plot $\theta_{av}$/^{\circ}C on the y-axis against $V/\text{cm}^3$ on the x-axis. Begin both axes at the origin $(0,0)$. Draw a smooth curved best-fit line.

(b(iv))[2]

Your graph indicates that $\theta_{av}$ is not directly proportional to $V$. Describe how your graph indicates this and suggest why $\theta_{av}$ is not directly proportional to $V$.

(c)[2]

The student repeats the experiment with insulation wrapped around the beaker. On your graph in Fig. 1.2, sketch a line to show the results with insulation around the beaker. Label this line A.

Worked solution & mark scheme

This 14-mark question has a full step-by-step worked solution and mark scheme. One marking point: Horizontal line at 160 cm^{3} through the centre

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