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The graph shows the variation of pressure p with temperature θ for a fixed mass of an ideal gas at constant volume - AQA - A-Level Physics - Question 8 - 2018 - Paper 2
Question 8
The graph shows the variation of pressure p with temperature θ for a fixed mass of an ideal gas at constant volume. What is the gradient of the graph?
Worked Solution & Example Answer:The graph shows the variation of pressure p with temperature θ for a fixed mass of an ideal gas at constant volume - AQA - A-Level Physics - Question 8 - 2018 - Paper 2
Step 1
Calculate the gradient using two points
Answer
To find the gradient of the graph, we can select two clear points on the line. For example, let's take the points (0 °C, 0 Pa) and (20 °C, 100 Pa).
The formula for calculating the gradient (m) is:
Where:
- (\Delta y = 100 \text{ Pa} - 0 \text{ Pa} = 100 \text{ Pa})
- (\Delta x = 20 °C - 0 °C = 20 °C)
So, substituting the values in, we get:
Thus, the gradient of the graph is 5.00.
Step 2