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Numerade Educator

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Problem 6 Easy Difficulty

A $0.250-\mathrm{kg}$ block of a pure material is heated from $20.0^{\circ} \mathrm{C}$ to $65.0^{\circ} \mathrm{C}$ by the addition of 4.35 kJ of energy. Calculate its specific heat and identify the substance of which it is most likely composed.

Answer

so the material is copper

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Video Transcript

okay, in this problem, we have a block of material mystery material that's being heated from, um, 20 degrees Celsius to 65 degrees Celsius by adding a heat or energy of 2.35 Killer Jules and the mass of material we have that's being heated is your 0.25 kilograms. What we want to know is the specific heat of this material and then what that material material is. So the equation we're gonna be using is, um, heat equation. So the heat Q equals the mass m time specific heat. See, Time's the change in temperature. Delta T. So, since we're solving for seals, rearranged this equation so that it looks like this divide cube I m and Delta T. So we know the change in temperature. So let's just write that over here. Delta T is It goes from 20 degrees Celsius to 65 degrees Celsius. So the change in temperature is positive. That 65 minus 20 degrees Celsius, that's 45 degree Celsius. They're starting information, so see we know equals Q over M Delta t Que in this case is 2.35 killer Jules. Sorry. Four. That's a four. Let's fix this here and over a year. So that should be 4.35 killed. Jules of energy looks. Get your pen back. 4.35 And this is for 25 killed. Jules, divided by our master. 0.25 kilograms. Uh, times delta t you just 45 degrees Celsius. So plug these numbers in your calculator and you'll get your point 387 rounding Killer Jules over kilogrammes degrees Celsius. Soto, look up the specific heat. There's usually typical unit. So I'm gonna convert this 3.87 killer Jules. Her kilogram Celsius to kill a cow as per kilogram Celsius. We're gonna multiply the conversion unit from college ALS to kill a cow. Lt's so that's your point 239 killer cows per one Kill Egil, please cancel out and we get 0.92 kill a cow. Lt's her killer Jewels or kilograms? Sorry. Degrees Celsius. So if you pull up a table of materials and their specific heats Um, you're gonna wanna look for one that matches this. When you do that, you should find that the material, the metal that matches this actually, copper, There he goes