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Question:

Specific Heat Physics Problem?

A 0.280-kg piece of aluminum that has a temperature of -184 °C is added to 1.6 kg of water that has a temperature of 1.9 °CAt equilibrium the temperature is 0 °CIgnoring the container and assuming that the heat exchanged with the surroundings is negligible, determine the mass of water that has been frozen into ice.

Answer:

It Worksthe high is a bit different and the nut is wider but fitsI have a Mim and an affinityI decided to upgrade the pickups to mim too, a scalloped neck sanded edges back and the body too stained, now is great and I just spent $50 of the guitar, and $50 in materialsSo I recommend to upgrade pickups and stay with the rest just scallop your neck it's an awesome experienceGood luck.
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First of all, we need to see how much energy would be required to heat up that piece of aluminum to 0 C from -184 C The specific heat of aluminum is 0.9 J/g C, and we have 280 grams here that we are increasing by 184 degrees, so we have 0.9 280 184 which gives us 46368J, or 46.368 kilojoules of energy, necessary to heat the aluminum up that much, Now, the water need to be both lowered to 0 C, and then the latent head of fusion has to be removed as wellIt take 4.186 kJ/kg to lower the temperature of water by one degree, and then 334 kJ/kg to remove the latent heat and turn that 0C water into 0C iceSo, 1.6 kg of water dropping down 1.9 degrees times 4.186 kJ 12.725 kJSo we have 46.368 -12.725 33.643 kJ of energy that is going to be sucked out of this 0 degree C waterHow much ice will that make? 33.364 kJ /334 kJ/kg 0.099892 kg or 99.892 gramsI'm sure you can round it up to 100 gramsIf there is something that this problem should impress on you, its how HUGE the latent heat of fusion for water isThe amount of energy you have to drain out to turn 0 degree water into 0 degree ice is enough to raise that water's temperature by 79 degrees celsiusThis is freaking amazing, you can drain the water's energy from almost boiling point down to 0 degrees, and you still have to drain that same amount of energy AGAIN in order to turn that cold water into iceNo wonder putting ice on your head on a hot day is such a great way to keep cool! Good luck to you!

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