DP Physics (first assessment 2025)

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Question EXE.2.SL.TZ0.4

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Date Example questions Example questions Marks available [Maximum mark: 6] Reference code EXE.2.SL.TZ0.4
Level SL Paper 2 Time zone TZ0
Command term Calculate, Estimate, Explain Question number 4 Adapted from N/A
4.
[Maximum mark: 6]
EXE.2.SL.TZ0.4

A sealed bottle contains 0.50 kg of water at an initial temperature of 60 °C. The bottle is made of glass of thickness 3.0 mm and thermal conductivity 0.90 W m−1 K−1.

(a)

The temperature of the air outside of the bottle is 20 °C. The surface area of the bottle is 4.0 × 10−2 m2. Calculate the initial rate of thermal energy transfer by conduction through the bottle.

[2]

Markscheme

0.90×4.0×10-2×60-200.003 ✓

480 «W» ✓

(b)

Explain why the rate calculated in part (a) is decreasing.

[2]

Markscheme

The temperature gradient decreases as the water cools down ✓

The rate of energy transfer is proportional to the temperature gradient ✓

(c)

Estimate the initial rate of the change of the temperature of the water in the bottle. State your answer in K s−1. The specific heat capacity of water is 4200 J kg−1 K−1.

[2]

Markscheme

480=4200×0.50×ΔTΔt ✓

ΔTΔt=0.23 «K s−1» ✓