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A kettle is used to heat water - Edexcel - GCSE Physics - Question 8 - 2020 - Paper 1

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A kettle is used to heat water. Figure 11 shows a graph of temperature against time for the water in the kettle. Calculate the rate of increase in temperature at a ... show full transcript

Worked Solution & Example Answer:A kettle is used to heat water - Edexcel - GCSE Physics - Question 8 - 2020 - Paper 1

Step 1

Drawing tangent attempt

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Answer

To find the rate of increase in temperature, first, draw a tangent line to the curve at the point corresponding to 150 seconds on the graph.

Step 2

Correct data points from graph

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Answer

Identify the coordinates of the points where the tangent intersects the graph. For example, you might estimate two points, such as (60, 60) and (150, 92).

Step 3

Evaluation

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Answer

To find the gradient (rate of increase in temperature), use the formula for gradient:

extGradient=change in temperaturechange in time ext{Gradient} = \frac{\text{change in temperature}}{\text{change in time}}

Substituting the values: Gradient=926015060=32900.356\text{Gradient} = \frac{92 - 60}{150 - 60} = \frac{32}{90} \approx 0.356

Therefore, the rate of increase in temperature at 150 s is approximately 0.36°C/s0.36 \, \text{°C/s}.

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