Equal masses of water and aluminium are heated through the same temperature range. Which material required the most energy? Specific heat capacity (J kg-1 K-1) Water 4186, aluminium 880, glass 842, steel 450.

Question

BlackTom AI · Accepted Answer

Specific heat capacity controls how much energy is needed: Q = m c ΔT, so for equal masses and the same temperature change the heat required is directly proportional to the specific heat c.

1) Relevant knowledge points and concepts
- Specific heat capacity c (J kg−1 K−1) is the energy needed to raise 1 kg of a substance by 1 K.
- Heat energy Q for a mass m raised by ΔT is Q = m c ΔT.
- If m and ΔT are the same for two materials, the one with the larger c requires more energy.

2) Complete reasoning process step by step
- Given equal masses m and identical temperature change ΔT, compare Qwater and Qaluminium:
  Qwater = m · cwater · ΔT
  Qaluminium = m · caluminium · ΔT
- Ratio Qwater / Qaluminium = cwater / caluminium. So compute this ratio using the provided c values.

3) Calculations with intermediate steps
- cwater = 4186 J kg−1 K−1, caluminium = 880 J kg−1 K−1.
- Ratio = 4186 / 880 = 4.7579545… ≈ 4.76.
- Example using m = 1 kg and ΔT = 1 K:
  Qwater = 1 kg × 4186 J kg−1 K−1 × 1 K = 4186 J.
  Qaluminium = 1 kg × 880 J kg−1 K−1 × 1 K = 880 J.
- Thus water requires about 4186 J vs aluminium’s 880 J for the same mass and ΔT.

4) Why the correct answer is correct
- Because water has a much higher specific heat (4186) than aluminium (880), it absorbs substantially more energy for the same mass and temperature change. Therefore water requires the most energy.

5) Why the other options are incorrect
- a. Both the same — incorrect because the specific heat capacities are different, so Q differs when c differs.
- c. Aluminium — incorrect because aluminium’s specific heat (880) is much smaller than water’s (4186), so aluminium requires far less energy.

6) Conclusion confirming the final answer
- The correct choice is b. Water, which matches the provided answer.

Equal masses of water and aluminium are heated through the same temperature range. Which material required the most energy? Specific heat capacity (J kg-1 K-1) Water 4186, aluminium 880, glass 842, steel 450.单项选择题

类似问题

Equal masses of water and aluminium are heated through the same temperature range. Which material required the most energy? Specific heat capacity (J kg-1 K-1) Water 4186, aluminium 880, glass 842, steel 450.

A hot water tank contains 125 l of water. Initially the water is 50 °C. Calculate the amount of energy required to raise the temperature to 85 °C. Give your answer to the nearest MJ. Specific heat capacity (J kg-1 K-1) Water 4186, aluminium 880, glass 842, steel 450.

Which has the most thermal energy, 10 kg of steel at 20 °C, or 10 kg of aluminium at 20 °C? Specific heat capacity (J kg-1 K-1) Water 4186, aluminium 880, glass 842, steel 450.

Which has the most thermal energy, 10 kg of steel at 20 °C, or 10 kg of aluminium at 20 °C? Specific heat capacity (J kg-1 K-1) Water 4186, aluminium 880, glass 842, steel 450.

A hot water tank contains 125 l of water. Initially the water is 50 °C. Calculate the amount of energy required to raise the temperature to 85 °C. Give your answer to the nearest MJ. Specific heat capacity (J kg-1 K-1) Water 4186, aluminium 880, glass 842, steel 450.

The specific heat capacities for several substances are shown in the table. Substance Specific heat (J/g°C) Silver 0.23 Nitrogen 1.04 Oil 1.80 Ethanol 2.46 If equal masses of each substance absorb the same amount of heat, which substance undergoes the smallest temperature change?

What is the difference between the heat capacity (C) and the specific heat (c)?

Solve for the specific heat capacity of a metal if 30g of the metal releases 75.0 J of heat and the temperature drops 20°C? Choose the correct answer below (1 mark) (I:1)

更多留学生实用工具

智能学习助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单