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Multiple Choice
If 53.2kJ of heat are added to a 15.5g ice cube at - 5.00 oC, what will be the resulting state and temperature of the substance?
A
322.5°C, gas
B
-3.70ºC, solid
C
98.82 ºC, liquid
D
222.5 ºC, gas
Verified step by step guidance
1
Determine the amount of heat required to raise the temperature of the ice from -5.00°C to 0°C using the formula q = m * c * ΔT, where m is the mass, c is the specific heat capacity of ice, and ΔT is the change in temperature.
Calculate the heat needed to melt the ice at 0°C into water using the formula q = m * ΔH_fus, where ΔH_fus is the heat of fusion for ice.
Determine the amount of heat required to raise the temperature of the resulting water from 0°C to 100°C using the formula q = m * c * ΔT, where c is the specific heat capacity of water.
Calculate the heat needed to convert the water at 100°C into steam using the formula q = m * ΔH_vap, where ΔH_vap is the heat of vaporization for water.
Compare the total heat required for each step with the given 53.2 kJ to determine the final state and temperature of the substance. If the heat is sufficient to reach a phase change, continue to the next phase; otherwise, calculate the final temperature within the current phase.