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Question 21M.2.SL.TZ1.c

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Date May 2021 Marks available [Maximum mark: 3] Reference code 21M.2.SL.TZ1.c
Level SL Paper 2 Time zone TZ1
Command term Determine Question number c Adapted from N/A
c.
[Maximum mark: 3]
21M.2.SL.TZ1.c

A mass of 1.0 kg of water is brought to its boiling point of 100 °C using an electric heater of power 1.6 kW.

The heater is removed and a mass of 0.30 kg of pasta at −10 °C is added to the boiling water.

Determine the equilibrium temperature of the pasta and water after the pasta is added. Other heat transfers are negligible.

Specific heat capacity of pasta = 1.8 kJ kg−1 K−1
Specific heat capacity of water = 4.2 kJ kg−1 K−1

[3]

Markscheme

use of mcΔT 

0.86 × 4200 × (100 – T) = 0.3 × 1800 × (T +10)

Teq = 85.69«°C» ≅ 86«°C» 

Accept Teq in Kelvin (359 K).