Question 1

Multiple choiceMedium1 mark

During a 10.0 min interval, a sample is melting at constant temperature. A 400 W heater is on for a total of 5.0 min; assume all energy supplied while it is on enters the sample. Which row gives the energy supplied by the heater and the particle behaviour during melting?

Show answer and explanation

Answer: B. The energy supplied is E=PtE=Pt using the time for which the heater is on: E=(400 W)(5.0×60 s)=1.2×105 J=120 kJE=(400\ \text{W})(5.0\times60\ \text{s})=1.2\times10^5\ \text{J}=120\ \text{kJ} During melting, the energy changes particle behaviour and arrangement while the average kinetic energy, and therefore the temperature, remains constant.
A: treats 5.0 min as 5.0 s, giving 2.0 kJ.
C: calculates the energy correctly but applies the temperature-rise model instead of recognizing a phase change.
D: uses the full 10.0 min interval as the heater-on time, giving 240 kJ.
Remember: energy can be transferred during a phase change without increasing the temperature.

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