In this experiment, you will determine the specific latent heat of fusion of ice. You have been provided with - a supply of ice, - a cup, - a supply of water at room temperature, - a measuring cylinder, - a plastic spoon, - a thermometer, - a stirrer, - some paper towels. (i) Measure $80\ \text{cm}^3$ of water from the supply, using the measuring cylinder. This water has a mass $m_w = 80\ \text{g}$. Pour the water into the cup. Measure the temperature $\theta_1$ of the…

Physics 5054/31 — October/November 2012

Cambridge O-Level · Practical Test · worked solutions for every part, with the mark scheme

questions

marks

120

minutes

Topics Observations and Measurements · Experimental Contexts · Analysis, Conclusions and Evaluation · Use of Techniques, Apparatus and Materials · Planning Experiments and Investigations

Q15MObservations and MeasurementsExperimental ContextsAnalysis, Conclusions and EvaluationFree sample

In this experiment, you will determine the specific latent heat of fusion of ice.

You have been provided with

a supply of ice,
a cup,
a supply of water at room temperature,
a measuring cylinder,
a plastic spoon,
a thermometer,
a stirrer,
some paper towels.

(a)

(i)

Measure $80\ \text{cm}^3$ of water from the supply, using the measuring cylinder. This water has a mass $m_w = 80\ \text{g}$ . Pour the water into the cup. Measure the temperature $\theta_1$ of the water.

$\theta_1$ = ______

(ii)

Take a spoonful of ice, pour off excess water and dry the ice with a paper towel. Place the ice into the cup. Stir the mixture and note the temperature when all the ice has melted. Continue adding spoonfuls of dried ice and stirring until the temperature of the water after the ice has melted is below $15\ ^\circ\text{C}$ . Record the final temperature $\theta_2$ of the water.

$\theta_2$ = ______

(b)

(i) Carefully pour the water from the cup into the empty measuring cylinder and determine the final volume of water.

final volume of water = ______

(ii) Calculate the volume of water produced from the melted ice.

volume of water from melted ice = ______

(iii) A volume of $1.0\ \text{cm}^3$ of water has a mass of $1.0\ \text{g}$ . Calculate the mass $m_i$ of ice that was added to the water.

$m_i$ = ______

(c)

(i) Calculate the thermal energy (heat) $Q_1$ lost by the water, initially at room temperature, using the relationship

Q_1 = m_w c_w (\theta_1 - \theta_2)

where $c_w = 4.2\ \text{J / (g }^\circ\text{C)}$ and $m_w = 80\ \text{g}$ .

$Q_1$ = ______ $\text{J}$

(ii) Using your value from (b)(iii), calculate the thermal energy $Q_2$ gained by the water formed from the melted ice, using the relationship

Q_2 = m_i c_w \theta_2

$Q_2$ = ______ $\text{J}$

(d)

Calculate the specific latent heat of fusion $L$ of ice using the relationship

L = \frac{(Q_1 - Q_2)}{m_i}

$L$ = ______

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