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For a start to the process, $$ rac{4R}{T} = rac{2d}{dt}\left(\frac{P}{T}\right) = \frac{\frac{R}{2}}{500 / K}$$ For a complete process to find $W_{s}$, $$W_{s} = \frac{540}{3R}$$ Any arrangement equivalent to this equation acceptable. - Edexcel - GCSE Maths - Question 15 - 2022 - Paper 1

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For-a-start-to-the-process,--$$-rac{4R}{T}-=--rac{2d}{dt}\left(\frac{P}{T}\right)-=-\frac{\frac{R}{2}}{500-/-K}$$--For-a-complete-process-to-find-$W_{s}$,--$$W_{s}-=-\frac{540}{3R}$$--Any-arrangement-equivalent-to-this-equation-acceptable.-Edexcel-GCSE Maths-Question 15-2022-Paper 1.png

For a start to the process, $$ rac{4R}{T} = rac{2d}{dt}\left(\frac{P}{T}\right) = \frac{\frac{R}{2}}{500 / K}$$ For a complete process to find $W_{s}$, $$W_{s} =... show full transcript

Worked Solution & Example Answer:For a start to the process, $$ rac{4R}{T} = rac{2d}{dt}\left(\frac{P}{T}\right) = \frac{\frac{R}{2}}{500 / K}$$ For a complete process to find $W_{s}$, $$W_{s} = \frac{540}{3R}$$ Any arrangement equivalent to this equation acceptable. - Edexcel - GCSE Maths - Question 15 - 2022 - Paper 1

Step 1

For a start to the process

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Answer

To start, we will set up the equation for the process. Given, rac{4R}{T} = \frac{2d}{dt}\left(\frac{P}{T}\right)

We know that the relationship involves derivatives with respect to temperature. By isolating terms, we can derive expressions related to the system under study.

Step 2

For a complete process to find $W_{s}$

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Answer

To find the work done in this complete process, we use: Ws=5403RW_{s} = \frac{540}{3R}

This formula encapsulates how the work relates to the gas constant and the parameters of the process.

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