Specific Heat Capacity and Latent Heat

1.   In an experiment, you heat up an iron rod on a bunsen burner and then transfer the rod to a calorimeter filled with water. Throughout the course of the experiment, all types of measurements are made and the object is to calculate the heat lost, gained, and change. Can another liquid be used in the calorimeter instead of water? Why or why not?

2.   What is the relation between Fahrenheit and Celsius?

Jillian heats up her bath water by adding hot water at 800C to 9 times that amount of water already in the bath, at 300C. The best estimate for the final temperature of the water is:
A 350C B 400C C 450C D 500C

3.   Mechanical thermostats for home heating, and flasher units for car turn-signals (and Christmas tree lights!) often use this principle: Two strips, copper and iron, are bonded together, side by side. They share the same elastic properties (e.g., Young’s modulus), and the same length l, and diameter d. They don't have the same linear thermal-expansion coefficient, though — if we heat them both to a higher temperature, one expands more than the other, and they bend. If the change in temperature is delta T and the linear thermal-expansion coefficients (alpha Fe) and (alpha Cu) , find the angle of deflection.

4.   Sam likes to enjoy a tall glass of cold lemonade on a hot summer day. He would like to know in advance how much ice he’ll need to put into a pitcher of lemonade in order to lower its temperature by the desired amount.

Calculate the volume of water Sam needs to freeze in order to make ice enough to lower the temperature of a litre of room-temperature lemonade by 10 °C. The temperature of the freezer Sam uses to make the ice is –10 °C. Assume the lemonade is initially at room temperature (20 °C), and is basically water, and that all the ice has melted before the temperature of the lemonade is measured.

densitywater = 998 kgm–3
densityice = 917 kgm–3

specific heat cwater = 4190 Jkg–1K–1
specific heat cice = 2220 Jkg–1K–1

latent heat Hf (ice) = 333000 Jkg–1

A substance is heated at a constant rate. The graph (click here to see the graph) shows how the temperature of the substance varies with time.
Which one of the graphs shown, A, B, C or D (click here to see the graphs) best shows how the temperature varies with time if half the mass of the substance is now heated from the same starting temperature and at the same rate?

A sample of lead has a mass of 0.50 kg and a temperature of 270C. Energy is supplied to the lead at the rate of 1.5 kW. After 0.2 minutes of heating it reaches its melting point temperature of 327 0C. After heating for a further 3 minutes all the lead has become liquid.

Calculate a value for the:
Specific heat capacity of lead. (3 marks)
Latent heat of fusion of lead. (2 marks).
State any assumption(s) you've made ( 1 mark)
Energy continues to be supplied to the lead. Make a rough graph to sketch how the temperature of the lead will vary with time from the start of heating to some 5 minutes after the time when all the lead has become liquid. Indicate on the graph the time at which it starts to melt and the time when it has become liquid. Make sure you label the axes. ( 2 marks)