The specific heat of copper is 0.385 J/(g ∙ °C). If 34.2 g of copper, initially at 25°C, absorbs 4.689 kJ, what will be the final temperature of the copper?Group of answer choices125 °C266 °C381 °C300 °C
Question
The specific heat of copper is 0.385 J/(g ∙ °C). If 34.2 g of copper, initially at 25°C, absorbs 4.689 kJ, what will be the final temperature of the copper?Group of answer choices125 °C266 °C381 °C300 °C
Solution
To solve this problem, we need to use the formula for heat transfer:
q = mcΔT
where: q = heat absorbed or released (in Joules) m = mass (in grams) c = specific heat capacity (in J/g°C) ΔT = change in temperature (in °C)
We know that: m = 34.2 g c = 0.385 J/g°C q = 4.689 kJ = 4689 J (since 1 kJ = 1000 J)
We want to find ΔT, which is (T_final - T_initial). We know that T_initial = 25°C.
Substituting the known values into the formula, we get:
4689 J = 34.2 g * 0.385 J/g°C * ΔT
Solving for ΔT, we get:
ΔT = 4689 J / (34.2 g * 0.385 J/g°C) = 353.5°C
So, the final temperature T_final = T_initial + ΔT = 25°C + 353.5°C = 378.5°C
The closest answer to this is 381°C. So, the final temperature of the copper will be approximately 381°C.
Similar Questions
5.25g of unknown metal at 990C was placed into 15.0 g of water at 250C. The mixture came to a final temperature of 410C. What is the specific heat of the metal if the specific heat of water is 4.184 J/g0C?Group of answer choices191 J/gºC17.3 J/gºC3.30 J/gºC-3.30 J/gºC
How much heat is absorbed when the temperature of a 4.1 g copper coin increases from 15.3 °C 74.6 °C? The specific heat of copper is 0.385 J/g°C.Question 5Select one:a.142 Jb.93.6 Jc.5.57 Jd.632 J
The molar mass of copper is 63.546 g/mol. The specific heat of copper is 0.385 How much heat is released when 0.762 mol of copper cools from 81.6°C to 52.2°C? a 973 J b 548 J c 8.63 J d 93.7 J
If 127.8 J of heat is added to a 4.0 gram sample of iron metal and the temperature of the metal increases from 25°C to 97°C, what is the specific heat of iron?A 0.0044 J/g°CB 0.044 J/g°CC 0.444 J/g°CD 4.4 J/g°C
The specific heat of copper is 387 J/kg°C. The temperature of a 0.45-kg sample of copper decreases from 86.0 °C to 20.0 °C. How much heat flows out of the copper sample during this temperature drop? 8,700 J 9,600 J 11,000 J 14,000 J
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.