Heat - What is the temperature of this object?

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To determine the final temperature of 1 kilogram of solid X at -20°C gaining 40 kilojoules of energy, the specific heat and heat of fusion must be considered. The melting point of the solid is -20°C, meaning any energy input will first be used to change the phase rather than increase temperature. The calculations suggest that the energy provided is insufficient to raise the temperature to a liquid state, as indicated by the confusion over the resulting temperature of 230°C. Additionally, to identify the phase of a substance, one can analyze a temperature-time diagram, noting that temperature remains constant during phase changes. Understanding these principles is crucial for accurately determining phase and temperature changes in substances.
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If 1 kilogram of solid X at -20C gains 40 kilojoules of energy, its temperature will be ____
1) -120 2) -80 3) -20 4) 80
Given: Specific heat of solid: 0.4, heat of fusion: 60, melting point:-20,
So I did: mL+40=0.4(T+20) --> 60+40=0.4(T+20), T=230. But no choice for that.

Then I have one question, is there any way to tell if a substance is solid or liquid or gas, in other words, what phase? because there is a diagram with temperature on y-axis, time on x-axis, so how can I tell what phase a certain point is.

Thank you.
 
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If 1 kilogram of solid X at -20C gains 40 kilojoules of energy, its temperature will be ____
1) -120 2) -80 3) -20 4) 80
Given: Specific heat of solid: 0.4, heat of fusion: 60, melting point:-20,
So I did: mL+40=0.4(T+20) --> 60+40=0.4(T+20), T=230. But no choice for that.
Can you specify the units that are attached to these quantities? I think you might need to convert to grams to do this properly but I can't tell without the units.
Then I have one question, is there any way to tell if a substance is solid or liquid or gas, in other words, what phase? because there is a diagram with temperature on y-axis, time on x-axis, so how can I tell what phase a certain point is.
Well, you can pick out where the phase changes occur since the temperature will not change during that time interval.
 


MIA6 said:
If 1 kilogram of solid X at -20C gains 40 kilojoules of energy, its temperature will be ____
1) -120 2) -80 3) -20 4) 80
Given: Specific heat of solid: 0.4, heat of fusion: 60, melting point:-20,
So I did: mL+40=0.4(T+20) --> 60+40=0.4(T+20), T=230. But no choice for that.

Then I have one question, is there any way to tell if a substance is solid or liquid or gas, in other words, what phase? because there is a diagram with temperature on y-axis, time on x-axis, so how can I tell what phase a certain point is.

Thank you.
I am not sure what you are doing.

First of all, you have to determine where the phase change will occur and how much energy is needed to achieve it. At what temperature does the solid melt? What happens to temperature during that phase change? Is there enough heat to complete the phase change?

AM
 
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