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Distinguish between heat and temperature - Leaving Cert Physics - Question 9 - 2015

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Distinguish between heat and temperature. The diagram shows a kettle which is filled with 500 g of water which is initially at a temperature of 20 °C. The heating ... show full transcript

Worked Solution & Example Answer:Distinguish between heat and temperature - Leaving Cert Physics - Question 9 - 2015

Step 1

Find the energy required to raise the temperature of the water to 100 °C.

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Answer

To calculate the energy required to heat the water, we use the formula:

Q=mchetaQ = mc heta

Where:

  • QQ is the heat energy (in Joules)
  • mm is the mass (in kg)
  • cc is the specific heat capacity (in J kg⁻¹ K⁻¹)
  • θ\theta is the change in temperature (in °C)

Here, we have:

  • Mass of water, m=0.5extkgm = 0.5 ext{ kg}
  • Specific heat capacity of water, c=4180extJkg1extK1c = 4180 ext{ J kg}^{-1} ext{ K}^{-1}
  • Change in temperature, θ=10020=80ext°C\theta = 100 - 20 = 80 ext{ °C}

Substituting these values in:

Q=0.5imes4180imes80=167200extJQ = 0.5 imes 4180 imes 80 = 167200 ext{ J}

Step 2

What is the energy supplied by the element per second?

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Answer

The power of the kettle element is given as 0.8 kW. To find the energy supplied per second, we convert kW to watts (1 kW = 1000 W):

P=0.8extkW=800extWP = 0.8 ext{ kW} = 800 ext{ W}

Since 1 W = 1 J/s, the energy supplied by the element per second is:

800extJ/s800 ext{ J/s}

Step 3

How long will it take the kettle to heat the water to 100 °C?

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Answer

To find the time taken to heat the water, we can use the formula:

t=QPt = \frac{Q}{P}

Where:

  • tt is the time in seconds
  • QQ is the heat energy (found in part (i), 167200extJ167200 ext{ J})
  • PP is the power (in watts, 800extW800 ext{ W})

Substituting the values:

t=167200800=209extsecondst = \frac{167200}{800} = 209 ext{ seconds}

Step 4

Why are handles of kettles often made of plastic?

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Answer

Plastic is a poor conductor of heat, which makes it a good material for kettle handles. This prevents burns and allows users to handle the kettle safely when it's hot.

Step 5

How is the heat transferred throughout the liquid in the kettle?

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Answer

Heat is transferred throughout the liquid in the kettle mainly through convection. As the water at the bottom heats up, it becomes less dense and rises, while cooler, denser water descends to take its place, creating a convection current.

Step 6

Why is the heating element of a kettle made of metal?

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Answer

The heating element of a kettle is made of metal because metals are good conductors of heat. This allows for efficient heat transfer from the element to the water.

Step 7

The heat source for a kettle is placed at the bottom. Suggest why this is the case.

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Answer

The heat source is placed at the bottom to promote efficient convection. As the water at the bottom heats up and rises, it allows cooler water to flow downwards, ensuring uniform heating throughout the kettle.

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