A soft plastic bottle filled with water (density 1 g cm⁻³) contains an inverted glass test tube trapping ideal gas. The test tube has mass 5 g and glass density 2.5 g cm⁻³. Initially P₀ = 10⁵ Pa and trapped-air volume v₀ = 3.3 cm³. On squeezing isothermally, the test tube just begins to sink at pressure P₀ + Δp and trapped volume v₀ − Δv. Let Δv = X cm³ and Δp = Y × 10³ Pa. Image
Physics · Fluid Mechanics
A soft plastic bottle filled with water (density 1 g cm⁻³) contains an inverted glass test tube trapping ideal gas. The test tube has mass 5 g and glass density 2.5 g cm⁻³. Initially P₀ = 10⁵ Pa and trapped-air volume v₀ = 3.3 cm³. On squeezing isothermally, the test tube just begins to sink at pressure P₀ + Δp and trapped volume v₀ - Δv. Let Δv = X cm³ and Δp = Y × 10³ Pa. Image
Sub-question 1
Find X.
Sub-question 2
Find Y.