A student investigates the link between the volume and pressure of a gas. The student uses a fixed mass of gas in a closed container. The student plots a graph of the results. (a) The student thinks that pressure multiplied by volume is always equal to the same number. Explain why the student is correct. Use data from the graph to support your answer. (b) Complete the sentences to explain how volume and pressure are related. Use words from the list. You can use each word once, more than once, or not at all. doubled halved the same If the volume of a gas is halved, the number of collisions per second between the gas particles and the container is ........................... The pressure is ............................

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A student investigates the link between the volume and pressure of a gas - OCR Gateway - GCSE Physics - Question 18 - 2020 - Paper 1

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A student investigates the link between the volume and pressure of a gas. The student uses a fixed mass of gas in a closed container. The student plots a graph of th... show full transcript

Worked Solution & Example Answer:A student investigates the link between the volume and pressure of a gas - OCR Gateway - GCSE Physics - Question 18 - 2020 - Paper 1

Step 1

Explain why the student is correct.

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Answer

The relationship between pressure (P) and volume (V) of a gas is described by Boyle's Law, which states that for a fixed amount of gas at a constant temperature, the product of pressure and volume is a constant. Mathematically, this can be expressed as:

$P imes V = k$

where $k$ is a constant. From the graph, we can observe that as the volume increases, the pressure decreases, confirming that their product remains constant. For example, when the volume is 10 cm³, the pressure is approximately 500 Pa, and if we observe a different point, such as at 20 cm³, the pressure decreases to about 250 Pa. Calculating both products:

$10 ext{ cm}^3 imes 500 ext{ Pa} = 5000$ $20 ext{ cm}^3 imes 250 ext{ Pa} = 5000$

Both show that the product is constant, supporting the student's statement.

Step 2

Complete the sentences to explain how volume and pressure are related.

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Answer

If the volume of a gas is halved, the number of collisions per second between the gas particles and the container is doubled. The pressure is halved.

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A student investigates the link between the volume and pressure of a gas - OCR Gateway - GCSE Physics - Question 18 - 2020 - Paper 1

Worked Solution & Example Answer:A student investigates the link between the volume and pressure of a gas - OCR Gateway - GCSE Physics - Question 18 - 2020 - Paper 1

Explain why the student is correct.

Complete the sentences to explain how volume and pressure are related.

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