Answer:
Percentage decrease in volume = 99.917%
Step-by-step explanation:
Boyle's Law:States that the volume of a given mass of gas is inversely proportional to the pressure, provided that the temperature is constant.
From Boyle's Law,
P₁V₁ = P₂V₂........... Equation 1
making V₂ the subject of the equation
V₂ = P₁V₁/P₂......... Equation 2
Where P₁ = initial pressure, P₂ = final pressure, V₁ = Initial volume, V₂ = final volume
Given: P₁ = 100 kPa = 100×1000 Pa = 100000 Pa, P₂=120 MPa = 120×1000000 Pa = 120000000 Pa
Let: V₁ = y cm³
Substituting these values into equation 2
V₂ = (100000/120000000)y
V₂ = 0.00083y cm³
Percentage decrease in volume = (V₁-V₂/V₁) × 100
Percentage decrease in volume = (y-0.00083y/y)×100
Percentage decrease in volume = (0.99917y/y)×100
Percentage decrease in volume = 0.99917×100
Percentage decrease in volume = 99.917%