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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 52 Problem 53 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 87 Problem 88 Problem 89 Problem 90 Problem 91 Problem 92 Problem 93 Problem 94 Problem 95 Problem 96 Problem 97 Problem 98 Problem 99 Problem 100 Problem 101 Problem 102 Problem 103 Problem 104 Problem 105 Problem 106 Problem 107 Problem 108 Problem 109 Problem 110 Problem 111 Problem 112 Problem 113 Problem 114 Problem 115 Problem 116 Problem 117 Problem 118 Problem 119 Problem 120 Problem 121 Problem 122 Problem 123 Problem 124 Problem 125 Problem 126 Problem 127 Problem 128 Problem 129 Problem 130 Problem 131 Problem 132 Problem 133 Problem 134 Problem 135 Problem 136 Problem 137 Problem 138 Problem 139 Problem 140 Problem 141 Problem 142 Problem 143 Problem 144 Problem 145 Problem 146 Problem 147 Problem 148

Problem 113 Hard Difficulty

A copper cube measuring 1.55 cm on edge and an aluminum cube measuring 1.62 cm on edge are both heated to 55.0 C and submerged in 100.0 mL of water at 22.2 C. What is the final temperature of the water when equilibrium is reached? (Assume a density of 0.998 g>mL for water.)

Answer

$23 \cdot 74^{\circ}$

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Video Transcript

Well, this question we had told about a cop like you. Which game nation being want 15 cents. Meet Ellen Page, and it's a cube so that Miss Hale is won't fly by. Thank you. Okay. And I'm, uh this is falta and a new medium on the other side have land of 1.6 years sense emitter, and it's so off. Damn, you have. Ah, simple joy. It was to fish by. Increase us? Yes. And they asked some managed in undress, meal of water. So you'll is, uh, one on one meal. Odds. 22 degrees. Cell issues. So what temperature base, Jewel waas. 22 degrees Celsius. So the question is asking us to that time in the final temperature of the water when a Billy Graham is reached assuming that the density of water is, um 99 So we need to know that the it's that was lost. I be upper in the aluminium will be, wants to the each thatwas came by one. Okay, so it's lost. Bye. Cooper. You ask each lost bye. It's most by how Lavinia miss, it wants to eat. Gained by water. Okay, so what you do from here, we know that the it it's lost by these two materials. It's gonna be negative because it's given its tourists around them from, So this should be negative. Mass offer. What's a lie? By specifications. Capacity of offer. More to fly by the temperature change, which would be the, um my nuts temperature minus the temperature off copper, which is 55 degree sell shares loss. Uh, this is also going to be negative. My nose muscle aluminium one supplied by the capacity of aluminium multiply by the final temperature. My nose temperature is equal to it again by water or a positive mass off water, which is, uh, underground in this case because we have no So we have 200 meals, so this is gonna be 99.8 grams 99.8 ground. That's a glass of water, much blood by specific. It's got paucity of water, and that is for 11 age for Joe's ground. A great sell shares much applied by the temperature change of water. Would you be the final temperature minus the, uh, media initial temperature, which explain it, You decree Celcius. Okay, so now, um, we do not know some are amateurs. Like the mask off the Q off the copper, and we don't know the mass off. Uh um, hand me a mask. So one thing we can do thio tummy that issue by some not games, but just some calculations. Okay, so what you do so, church, that's the aluminium. And, uh, on the copper who are peers. Okay, so and the lens off the copper is less in this. Discover lent off the cop eyes. 1.55 centimeters. Okay, So based on this information, we can calculate for you off over since we know the volume of a key reason l q. And this is 1.55 Q. And this would give us 1.55 cube. This should give us 3.7 to fall keeping centimeter okay on duh. We can then determine the dance. You can find the density of copper, so density of copper it's less so. The density of copper is its 0.96 It's a desert. Your corporate? Yes, it's my night. Sees Graham spots you accepting it. So if we know the density with no ethnicity is mastered by my body, through no density. We know you. We can find a match. I just want to find a density by the warrior. So the mass off copper would envy us to 3.72 We'll keep you, said Thio. Times 8.96 Ground spot, now 33. Why? For grabs. So for hot Medium Uh, Lance is why 62 So find a value. So while you 1162 Q. You know 11 16 Q before once Chu my she cubic centimeter and, uh, density off other many obvious what she 0.7 destitute. Young? Yes, Chief 17 grounds Pussy and Q. So then, uh, muscle Holiday video 4.252 That's 2.7. It used to be 11. Want Wall? So not gramps, which is a long 15 rounds. The effort. You can go back to this question. A massive got my state's 2.4 grounds, one supplied by the capacity specific. Its capacity of proper capacity of That's, uh, 0.385 You know 0.385 What's a fly by T. F my District five loss, huh? No. 15 What? This on brackets, my nurse and then one by one supply by any other medium, especially kids. Capacities in 19 cheer times T F minus 55 and this would be 99 points. AIDS Times plans one each fall, so he's just gonna be for one. Sarah on 56 two lying us 91 with six points. Three. Okay, let's do the math assist 34 times. I won t Five fine US Tool wines Mine. Ostroff Wines Age 59 to Here Loss Sam 7.5 Mine Us Sand Collins three. Selling three t f. Loss 5 70 or in 515 What's she wants? That 156 T f minus 918619 So we're just gonna collect like times and and, uh, figure out wasthe e t f will be So says service Ellen. So I want you for five. Lost 5 75 15 9186.39 and, um, divided by all. 1715 Say's my nose. Well, then, one day several lost 12.59 so t well, you 23 twice. Three horns. Seven for gray cell ships

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