The constant of proportionality for this situation is 425
Step-by-step explanation:
When a quantity is inversely proportional with another quantity, then
the product of the two quantities is constant
1. If y is inversely proportional with x
2. Then y ∝ [tex]\frac{1}{x}[/tex]
3. that mean y = [tex]\frac{k}{x}[/tex] where k is the constant of variation
4. Then xy = k
∵ In physics, Boyle’s law states that if the temperature is constant
∵ The pressure, P, of a gas is inversely proportional to the volume,
V, of the gas
∴ P ∝ [tex]\frac{1}{V}[/tex]
∴ P = [tex]\frac{k}{V}[/tex]
∵ The pressure of the gas in a cylinder is equal to 250 kilo pascals
∵ The volume of the container is 1.7 cubic meters
- Substitute these values in the rule of variation to find k
∴ 250 = [tex]\frac{k}{1.7}[/tex]
- Multiply both sides by 1.7
∴ k = 425
The constant of proportionality for this situation is 425
Learn more:
You can learn more about proportion in brainly.com/question/10708697
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