Graph of log p vs v (volume) according to boyle's law
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Explanation:
see the picture pinned
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AnswEr:
We know that,
PV = k ( according to boyle's law )
Taking log on both sides,
→ log(PV) = log(k)
Using formulas :
- log(xy) = log(x) + log(y)
- log(x/y) = log(x) - log(y)
- log(x)^a = a.log(x)
→ log(P) + log(V) = log(k)
→ log(P) = - log(V) + log(k)
Our required expression is log(P) = -log(V) + log(k).
[ Refer to the attachment for graph ]
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