In this experiment you will determine an approximate value for the density of the glass from which a test-tube is made. You are provided with: • a test-tube • a 250 cm³ glass beaker containing water • a 30 cm ruler • a 100 cm³ measuring cylinder • 2 rectangular blocks of wood • access to a balance. The height h and the external diameter d of the test-tube are shown in Fig. 1.1. [Figure 1.1]
- (a)(i)Use the balance to measure the mass m of the test-tube. Record your answer to the nearest gram. m = ..................................................... g [1][1]
- (a)(ii)Measure the height h of the test-tube. Record your answer to the nearest 0.1 cm. h = ..................................................... cm [1][1]
- (a)(iii)Measure and record the external diameter d of the test-tube. Use the two wooden blocks to help you. d = ..................................................... cm [1][1]
- (a)(iv)Draw a diagram to show how you use the wooden blocks to help you obtain your measurement of d in (iii). [1][1]
- (b)The shape of the test-tube is approximately a cylinder. Calculate the external volume VE of the test-tube using the equation: VE = 0.79 d² h VE = ..................................................... cm³ [1][1]
- (c)Fill the test-tube to the top with water. Pour the water carefully from the test-tube into the measuring cylinder. Read and record the volume of water VI in the measuring cylinder. This is the internal volume of the test-tube. VI = ..................................................... cm³ [1][1]
- (d)Calculate the volume of the glass VG in the test-tube using the equation: VG = VE - VI VG = ..................................................... cm³ [1][1]
- (e)Suggest one source of inaccuracy in measuring the internal volume of the test-tube VI. [1][1]
- (f)Use your results from (a)(i) and (d) to calculate the density ρ of the glass from which the test-tube is made. Use the equation: ρ = m/VG Give the unit for your answer. ρ = ..................................................... unit ..................... [2][2]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2024). The mark or mark type is shown in brackets.
- [1] m recorded to the nearest gram
- [1] h recorded in centimetres to the nearest millimetre
- [1] d recorded in centimetres to the nearest millimetre
- [1] test-tube between blocks and touching blocks along length (with rule across blocks)
- [1] VE calculation correct
- [1] VI recorded to nearest cm³ (and less than VE)
- [1] VG correctly calculated
- [1] cannot tell when test-tube is full / can overfill the test-tube / water spilled on transfer / measuring cylinder only reads to nearest 1 cm³ / water stuck to the side of the measuring cylinder / beaker
- [1] density calculation correct using candidate values
- [1] g/cm³
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