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
Question 15
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
96%
114 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
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 $W_{s}$
99%
104 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
To find the work done in this complete process, we use:
Ws=3R540
This formula encapsulates how the work relates to the gas constant and the parameters of the process.