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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70 Problem 71 Problem 72 Problem 73 Problem 74 Problem 75 Problem 76 Problem 77 Problem 78 Problem 79 Problem 80 Problem 81 Problem 82 Problem 83 Problem 84 Problem 85 Problem 86

Problem 12 Easy Difficulty

An aluminum kettle weighs 1.05 $\mathrm{kg}$
(a) What is the heat capacity of the kettle?
(b) How much heat is required to increase the temperature of this kettle from $23.0^{\circ} \mathrm{C}$ to $99.0^{\circ} \mathrm{C} ?$
(c) How much heat is required to heat this kettle from $23.0^{\circ} \mathrm{C}$ if it contains 1.25 $\mathrm{L}$ of water (density of 0.997 $\mathrm{g} / \mathrm{mL}$ and a specific heat of 4.184 $\mathrm{J} / \mathrm{g}^{\circ} \mathrm{C}$ )?

Answer

a
$C_{\mathrm{Al}}=1345.5 \frac{\mathrm{J}}{\mathrm{c}}$
b
$q=71580.6 \mathrm{J}$
c
$q=467868.2 \mathrm{J}$

More Answers

02:03

Aadit S.

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Video Transcript

We're told that aluminum can always 1.05 kg. For a what is the heat capacity of the kettle? The capacity of the kettle sees equal the Mt capacity of the aluminum Mass is 1.05 kg. Karubas two g. Yeah, The capacity of aluminum is 897 jules per gram degrees Celsius. Therefore, the heat capacity of the kettle works out to 942 jewels per degrees Celsius. For B. How much heat is required to increase the temperature of the kettle just made of aluminum Uh from 23 to 99°C.. So the mass of the cattle, he is 1.05 kg. Which were these two g. Mhm. Just the capacity of aluminum is point 897 jewels per gram degrees C. And the temperature Is 9090C and it's initially at 23°C.. This will work out to 71 1000 580 .6 Jewels. For 71 6 kilo jewels. Yeah. Okay. For c How much heat is required to heat the kettle from 23°C.. I if it contains 1.25 L of water, don't feel well. First calculate the mass of the H 20 Which would equal the density times the volume. The massive or the density is .997 grams per mil. Leader. In terms of volume 1.25 L, convert this to milliliters And the mass of the water works out to 1246.25g, calculate the heat. Uh the water. M. C. Delta T. Mass of the waters. 1246.25 grams he capacity of water is 4.184 jewels per gram degrees Celsius, Temperatures going from 99°C.. initially at 23°C.. And the energy here works out to 396,000, 287 56 jewels, or 3.3396 your jewels. Therefore the heat required to heat the kettle and the water From 23 to 99°C would be the heat of the aluminum, plus the heat of the water Is equal to 71.6 killer jewels plus 396 killer jewels. So the total heat required here would be 468 killer jewels.

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