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Viviana's Chemistry Notebook

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Step One: solid ice rises in temperature<br />

As we apply heat, the ice will rise in temperature until it<br />

arrives at its normal melting point of zero Celsius.<br />

Once it arrives at zero, the Δt equals 10.0 °C.<br />

Here is an important point: THE ICE HAS NOT MELTED<br />

YET.<br />

At the end of this step we have SOLID ice at zero<br />

degrees. It has not melted yet. That's an important point.<br />

Each gram of water requires a constant amount of energy<br />

to go up each degree Celsius. This amount of energy is<br />

called specific heat and has the symbol c.<br />

72.0 grams of ice (no liquid water yet!) has changed 10.0 °C. We need to calculate the energy<br />

needed to do this.<br />

This summarizes the information needed:<br />

Δt = 10 °C<br />

The mass = 72.0 g<br />

c = 2.06 Joules per gram-degree Celsius<br />

The calculation needed, using words & symbols is:<br />

q = (mass) (Δt) (c)<br />

Why is this equation the way it is?<br />

Think about one gram going one degree. The ice needs 2.06 J for that. Now go the second degree.<br />

Another 2.06 J. Go the third degree and use another 2.06 J. So one gram going 10 degrees needs<br />

2.06 x 10 = 20.6 J. Now we have 72 grams, so gram #2 also needs 20.6, gram #3 needs 20.6 and so<br />

on until 72 grams.<br />

With the numbers in place, we have:<br />

q = (72.0 g) (10 °C) (2.06 J/g °C)<br />

So we calculate and get 1483.2 J. We won't bother to round off right now since there are four more<br />

calculations to go. Maybe you can see that we will have to do five calculations and then sum them all<br />

up.<br />

One warning before going on: three of the calculations will yield J as the unit on the answer and two<br />

will give kJ. When you add the five values together, you MUST have them all be the same unit.<br />

In the context of this problem, kJ is the preferred unit. You might want to think about what 1483.2 J is<br />

in kJ.<br />

Notes:<br />

- Ice has no melted at 10.0 C<br />

- Solid ice at zero degrees<br />

- Each gram of water requires a constant amount of enrgy to go up each degree Celsuis; also known<br />

as specific heat and has the symbol c<br />

- q = (mass) (delta t) (c); used to calculate the energy<br />

135

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