Question

You want to heat an ice cube from -10 C to 110 C. Write out all the equations you would need to solve, in order to find the amount of heat energy needed to do this.

Answer 1

The equation need to raise the temperature of the ice from -10⁰C to 110⁰C is mcΔθ₁ + mHf + mcΔθ₂ + mHv.

What is heat capacity?

This is the quantity of heat required to raise the temperature of the entire mass of a substance.

To raise the temperature of an ice to steam, we will use the following formulas;

Q = mcΔθ₁ + mHf + mcΔθ₂ + mHv

where;

• mcΔθ₁ is the heat require to raise the temperature of the ice from -10⁰C to 0⁰C
• mHf  is the heat required to melt the ice at 0⁰C (heat of fusion)
• mcΔθ₂  is the heat required to raise the temperature of the ice from 0⁰C to 110⁰C.
• mHv is heat of vaporization

Thus, the equation need to raise the temperature of the ice from -10⁰C to 110⁰C is mcΔθ₁ + mHf + mcΔθ₂ + mHv.

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