How Much Energy is Needed to Transform Ice into Water and Steam?

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To calculate the energy needed to transform a 55 g ice cube at 0°C into water and steam, the process involves three stages: melting the ice, heating the water, and vaporizing the steam. The correct approach requires using the latent heat of fusion for the melting phase, the specific heat capacity for heating the water, and the latent heat of vaporization for converting water to steam. The calculations should account for the full 55 g of ice melting and then heating the resulting water from 0°C to 100°C before vaporizing 15 g of that water. The initial calculations provided were incorrect due to not fully considering all phases of the transformation. Accurate energy calculations are essential for understanding phase changes in thermodynamics.
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A 55 g ice cube at 0°C is heated until 40 g has become water at 100°C and 15 g has become steam at 100°C. How much energy was added to accomplish the transformation?

I tried using Q=mL for each change and adding them together.

Q=.055(3.33x10^5)
Q=18315

then

Q=.015(2.26x10^6)
Q=33900

18315+33900= 52215 which is not the correct answer.
 
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You have 55g melting (latent heat of fusion) and 55g warming from 0° C to 100° C and then 15g vaporizing (latent heat of vaporization).
 
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