Mixing Ice and Water: Final Temp & Composition

In summary, when 300gm of water at 25°C is added to 100gm of ice at 0°C, the final temperature of the mixture is 0°C and the final composition is 393.75gm water and 6.25gm ice. The amount of ice melted is 93.75gm. The heat released by the water is 7500 cal, while the heat required by the ice to melt completely is 8000 cal. Therefore, the whole ice will not melt due to insufficient heat supply.
  • #1
Jahnavi
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Homework Statement



300gm of water at 25°C is added to 100gm of ice at 0°C ,find the final temperature of the mixture .Also find the final composition of mixture .

Homework Equations


[/B]
Specific heat of water = 1 cal/gm/°C
Latent heat of fusion of ice = 80 cal/gm

The Attempt at a Solution


[/B]
Heat released by 300gm water to reach 0°C = 300x1x25 = 7500 cal

Heat required by ice to melt completely
= 100x80= 8000 cal

Since heat supplied is less than heat required , whole ice will not melt .

Amount of ice melted = 7500/80 = 93.75gm

Final composition of mixture = 393.75gm water +6.25gm ice at 0°C

Is my answer correct ?
 
Last edited:
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  • #2
It is correct.
 
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Likes Jahnavi

What happens to the final temperature when mixing ice and water?

When mixing ice and water, the final temperature will depend on the initial temperature and the amount of ice and water being mixed. However, the final temperature will always be at or below the freezing point of water (0 degrees Celsius or 32 degrees Fahrenheit) since the ice will melt and absorb heat from the water, causing it to cool down.

What determines the final composition when mixing ice and water?

The final composition when mixing ice and water will depend on the amount of ice and water being mixed. As the ice melts, it will turn into liquid water and mix with the existing water, resulting in a diluted solution. The final composition will also be affected by the initial temperature and any impurities in the water or ice.

Can the final temperature and composition be predicted?

Yes, the final temperature and composition can be predicted using the principles of thermodynamics and the specific heat capacities of ice and water. These calculations can be done using the formula Q = mCΔT, where Q is the heat transferred, m is the mass, C is the specific heat capacity, and ΔT is the change in temperature.

What happens if the ice and water are not mixed in equal amounts?

If the ice and water are not mixed in equal amounts, the final temperature and composition will still be affected by the amount of each substance. The more ice present, the lower the final temperature will be since more heat will be absorbed in the melting process. The final composition will also be more diluted if there is more water than ice.

What other factors can affect the final temperature and composition when mixing ice and water?

Other factors that can affect the final temperature and composition when mixing ice and water include the presence of other substances, such as salt, which can lower the freezing point of water and change the melting point of ice. Additionally, the rate of mixing, the shape and size of the ice, and the container used can also impact the final results.

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