Understanding Specific Heat Capacity

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Questions and Answers

If a metal has a specific heat capacity of 500 J/kg°C, what does this indicate?

  • It releases 500 Joules of energy when 1 kg of the metal cools by 1°C.
  • It requires 500 Joules of energy to melt 1 kg of the metal.
  • It requires 500 Joules of energy to raise the temperature of 1 kg of the metal by 1°C. (correct)
  • It requires 500 Joules of energy to change the state of 1 kg of the metal.

Which formula correctly relates energy transferred (Q), mass (m), specific heat capacity (c), and temperature change (ΔT)?

  • Q = mcΔT (correct)
  • Q = mΔT / c
  • Q = mc / ΔT
  • Q = m / (cΔT)

If you double the mass of a substance while keeping the specific heat capacity and temperature change constant, how does the energy transferred change?

  • It is halved.
  • It quadruples.
  • It remains the same.
  • It doubles. (correct)

You have equal masses of aluminum and copper, both at the same initial temperature. If the same amount of energy is added to each, which metal will experience a greater temperature increase? (Specific heat capacity of aluminum: 910 J/kg°C, copper: 390 J/kg°C)

<p>Copper (B)</p>
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Which of the following requires the least amount of energy to raise its temperature by 1°C, assuming all samples have a mass of 1 kg? (Specific heat capacities: brass: 380 J/kg°C, copper: 390 J/kg°C, iron: 460 J/kg°C, aluminum: 910 J/kg°C)

<p>Brass (D)</p>
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If 1000 J of energy is added to 1 kg of copper and 1 kg of iron, which will have the higher final temperature, assuming they both start at the same temperature? (Specific heat capacity of copper: 390 J/kg°C, iron: 460 J/kg°C)

<p>Copper (D)</p>
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To heat 2 kg of water from 20°C to 50°C, you need a certain amount of energy. If you instead have 4 kg of water and heat it from 20°C to 50°C, how will the energy required change?

<p>It will double. (B)</p>
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Calculate the energy transferred when 2 kg of copper is heated from 25°C to 75°C. (Specific heat capacity of copper: 390 J/kg°C)

<p>39,000 J (A)</p>
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If the same amount of energy is applied to 1 kg of aluminum and 1 kg of iron, which will experience a greater temperature change? (Specific heat capacities: aluminum: 910 J/kg°C, iron: 460 J/kg°C)

<p>Iron (A)</p>
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How much energy is required to raise the temperature of 5 kg of iron by 10°C? (Specific heat capacity of iron: 460 J/kg°C)

<p>23,000 J (A)</p>
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What is the specific heat capacity of a 2 kg material if it requires 4000 J of energy to raise its temperature by 5°C?

<p>400 J/kg°C (C)</p>
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If the temperature of a 3 kg sample of brass increases by 8°C after the addition of 9120 J of energy, what is the specific heat capacity of brass?

<p>380 J/kg°C (B)</p>
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A 5 kg piece of metal requires 11,500 J of heat to raise its temperature from 20°C to 25°C. What is the specific heat capacity of the metal?

<p>460 J/kg°C (D)</p>
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If 5000 J of energy are applied to 2 kg of a substance, and its temperature rises by 10°C, what is the substance's specific heat capacity?

<p>250 J/kg°C (C)</p>
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You have 1 kg each of aluminum, brass, copper and iron. If you supply 500 J of energy to each, which will have the largest temperature increase? (Specific heat capacities: aluminum: 910, brass: 380, copper: 390, iron: 460, all in J/kg°C)

<p>Brass (B)</p>
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How much energy is required to heat 3 kg of water from 20°C to 80°C, given that the specific heat capacity of water is 4200 J/kg°C?

<p>756,000 J (B)</p>
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If you want to heat 1 kg of copper from 20°C to 50°C, how would the amount of energy required change if you instead heated 2 kg of copper from 20°C to 35°C? (Specific heat capacity of copper = 390 J/kg°C)

<p>Energy required would be less (C)</p>
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You have two blocks of iron; Block A with a mass of 1 kg and Block B with a mass of 3 kg. If both blocks initially have the same temperature and the same amount of energy is added to each block, which block will have the larger final temperature?

<p>Block A (D)</p>
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A metal has a specific heat capacity of 450 J/kg°C. If 2250 J of energy is applied to a 3 kg sample of this metal, by how much will its temperature rise?

<p>1.67°C (B)</p>
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Brass has a specific heat capacity of 380 J/kg°C. Find the amount of energy in Joules that needs to be transfered into 5 kg of Brass in order to raise its temperature 2°C

<p>3800 J (D)</p>
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Flashcards

What is heat?

The energy transferred due to a temperature difference.

What is temperature?

A measure of the average kinetic energy of the particles in a substance.

What is Specific Heat Capacity?

The amount of heat energy required to raise the temperature of 1 kg of a substance by 1°C.

Formula for specific heat capacity

Q = mcΔT, where Q is heat, m is mass, c is specific heat capacity, and ΔT is change in temperature.

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Meaning of specific heat capacity of copper being 390 J/Kg °C

It means that 390 Joules of energy are required to raise the temperature of 1 kg of copper by 1°C.

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Energy to heat 3kg of copper from 20°C to 220°C

46,800 J

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Energy to heat 2kg of water from 10°C to 90°C

672,000 J

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Energy to heat 1 kg of iron by 1°C

460 J

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Metal needing the most energy to raise temperature by 1°C

Aluminum

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Metal with largest temperature rise for a given amount of energy

Brass

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Energy to heat 2 kg of iron by 5°C

4600 J

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Study Notes

  • The task is to understand and apply the concept of specific heat capacity

  • One must define heat, temperature, and specific heat capacity

  • The formula for specific heat capacity, needs to be shown including all the units

  • Copper's specific heat capacity is 390 J/kg°C

  • The energy transferred when 3kg of copper is heated from 20°C to 220°C needs to be calculated

  • Also calculate the energy needed to heat 2kg of water from 10°C to 90°C, water's specific heat capacity is 4200 J/kg°C

Specific Heat Capacity Values for Metals

  • Aluminium: 910 J/kg °C

  • Brass: 380 J/kg °C

  • Copper: 390 J/kg °C

  • Iron: 460 J/kg °C

  • Calculate the energy that must be transferred to 1 kg of copper to raise its temperature by 1 °C

  • With 1 kg of each metal, determine which requires the most energy to raise its temperature by 1 °C

  • When the same amount of energy is transferred into 1 kg of each metal, determine which has the largest temperature rise

  • Calculate the energy that must be transferred into 2 kg of iron to raise its temperature by 5°C

Table Completion

  • Complete the table by calculating the missing values using the formula for specific heat capacity

  • The table includes values for:

    • Material
    • Energy transfer (J)
    • Mass (kg)
    • Temperature rise (°C)
    • Specific heat capacity (J/kg°C)
  • Row A: Mass, temperature rise, and specific heat capacity are given. The energy transfer needs to be calculated.

  • Row B: Energy transfer, mass, and specific heat capacity are given. The temperature rise needs to be calculated.

  • Row C: Energy transfer, temperature rise, and specific heat capacity are given. The mass needs to be calculated.

  • Row D: Mass, temperature rise, and specific heat capacity are given. The energy transfer needs to be calculated.

  • Row E: Energy transfer, mass, and temperature rise are given. The specific heat capacity needs to be calculated.

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