Five substances, each with the same mass, absorbs the same amountof heat. If eac

Question

Five substances, each with the same mass, absorbs the same amountof heat. If each of the substances were initially at 20 degreesCelsius, rank the substances in order of their final temperature(1=hottest, 5=coldest). The specific heats of each substance isgiven below: (Be careful of units)

Substance        Specific Heatof Substance
A                    0.312 J / g K
B                    0.931 cal / g K
C                    1.42 J / g K
D                    2.51 J / g K
E                     0.000773 kJ / g K

All I know for sure is that Substance C is ranked 3rd.
1 calorie = 4.184 Joules
K = degrees C + 273

I only have one more try left and Idk what else to do!

Explanation / Answer

First convert everything to the same units. I'll pick Jg-1 K-1, since the majority of the valueshave these units. A) 0.312 J g-1 K-1 B) 0.931 cal g-1 K-1 * 4.184 Jcal-1 = 3.8953 J g-1K-1 C) 1.42 J g-1 K-1 D) 2.51 J g-1 K-1 E) 0.000773 kJ g-1 K-1 = 0.773 Jg-1 K-1 Remember that a high heat capacity means the substance needsmore energy in order for its temperature to raiseby 1 K (or 1oC, since temperaturechange is the same regardless of the units). Thus,since (A) has the lowest heat capacity, needing0.312 J of energy to raise 1 g of it by 1 K, it will end up withthe highest temperature. (B) has thehighest heat capacity, requiring more energy toraise its temperature, and will therefore end up at thelowest temperature. Using this logic, the answersshould be: 1. A (hottest; lowest heat capacity) 2. E 3. C 4. D 5. B (coolest; highest heat capacity)

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