Calculating Change in Entropy: Ice to Water at 0° C | Entropy Homework

In summary, entropy is an important measure of disorder in a system that helps us understand chemical and physical reactions and energy efficiency. To calculate the change in entropy for a phase change, you need to know the heat of fusion and the temperature at which the change occurs. The temperature being 0° C is significant in the calculation of entropy change for ice to water because it is the temperature at which water transitions from a solid to a liquid. The change in entropy can be negative if the reaction or process results in a decrease in disorder. The change in entropy for ice to water at 0° C is relatively small compared to other phase changes due to the relatively low heat of fusion for water.
  • #1
logearav
338
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Homework Statement



What is the change in entropy when 1 gm of ice at 0° C is converted into water at the same temperature?

Homework Equations





3. The attempt at the solution
dS = dQ/T.
Q = msT/T
so dS = 1*?*273/273
i don't know whether i should substitute specific heat capacity of water or specific heat capacity of ice at ?.
I also don't know whether my substitutions are correct. Revered members can help in this regard
 
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  • #2
You need to use the latent heat of fusion/melting for water.

AM
 

FAQ: Calculating Change in Entropy: Ice to Water at 0° C | Entropy Homework

What is entropy and why is it important?

Entropy is a measure of the disorder or randomness in a system. It is important because it helps us understand the direction and spontaneity of chemical and physical reactions. It also plays a role in the efficiency of energy transformations.

How do you calculate the change in entropy for a phase change?

To calculate the change in entropy for a phase change, you need to know the heat of fusion (or vaporization) and the temperature at which the phase change occurs. The change in entropy is then calculated using the equation ΔS = q/T, where q represents the heat transferred and T is the temperature in Kelvin.

What is the significance of the temperature being 0° C in the calculation of entropy change for ice to water?

The temperature being 0° C is significant because it is the temperature at which water transitions from a solid to a liquid. At this temperature, the heat of fusion is used to break the intermolecular forces holding the solid together, resulting in an increase in disorder and therefore an increase in entropy.

Can the change in entropy be negative?

Yes, the change in entropy can be negative if the reaction or process results in a decrease in disorder. This could happen, for example, if a gas is compressed and becomes more ordered, resulting in a decrease in entropy.

How does the change in entropy for ice to water at 0° C compare to other phase changes?

The change in entropy for ice to water at 0° C is relatively small compared to other phase changes. This is because the heat of fusion for water is relatively low compared to the heat of vaporization for water, which is much larger. This means that the change in disorder from solid to liquid is not as significant as the change in disorder from liquid to gas.

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