Which curve does not represent Boyle’s law
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Answers
Answer:
The graph C does not represent Boyle's law as it is a straight line however the curve of P vs V for Boyle's law is an exponential curve.
The graph D indicates the equation P=−V+constant whereas the Boyles law is represented by the equation PV= constant.
Explanation:
graph C does not represent boyle's law.
hope it is clear☺
According to Boyle's Law, the absolute pressure exerted by a given mass of an ideal gas is inversely proportional to the volume it occupies if the temperature and amount of gas remain unchanged within a closed system, or:
Pressure ∝ or (1)
PV=constant. (2)
Using this definition and formula, let us analyse all the graphs.
A.
- Graph A is correct representation of the inverse relation of pressure and volume of a gas.
- As pressure decreases, volume increases, so it represents Boyle's Law.
B. Graph B is also correct.
- Consider the relation PV = constant. Taking log on both sides:
⇒ log(PV) = log(constant)
⇒ log P + log V = 0 (log(xy) = log x + log y)
⇒ log P = -log V
- If we compare log P = - log V with the straight-line equation y =mx + c, we can see graph B represents it, hence it represents Boyle's Law.
C. This graph is incorrect.
- If we make an equation for graph C it will be
P= -V + c
which is not representative of Boyle's Law.
- Hence, it does not represent Boyle's Law.
D. This graph is correct.
- Since PV = constant, therefore PV vs P graph is a line parallel to x-axis as the vale of PV will not change even if P changes.
- Hence it represents Boyle's Law.
Therefore, curve C does not represent Boyle's Law.