R ???

two bubbles of radius r1 and r2 coalses to form a enw bubble of radius R .....under isothrmal conditions thne wat s d value of R ??

6 Answers

isothermal conditions na , so P_{1}V_{1} +P_{2}V_{2}=P_{3}V_{3}

where P1 , P2 P3 are excess pressures . and V are volumes

so solbing you get the relation.R=\sqrt{r_{1}^{2}+r_{2}^{2}}

wat s d value of P1 P2 P3 ??

P_{1}=\frac{4T}{r_{1}}
and so on. where T is surface tension

K thanks.............. :)

in case of buble it is 4T/r...rite.....2T/r is for a drop......

oh yes . haan thanks sriraghav . :)

√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

∫ ∫ ∫ ∫ ∫ ∬ ∬ ∬ ∬ ∬ ∭ ∭ ∭ ∭ ∭ ⨌ ⨌ ⨌ ⨌ ⨌

∑ ∑ ∑ ∑ ∑ ∮ ∮ ∮ ∮ ∮ ∏ ∏ ∏ ∏ ∏ ∐ ∐ ∐ ∐ ∐

+ - × ÷ ± ∓ = ∪ ∩ ≠ ∼ ≈ ∅ ∀ ∃ ∈ ∋ ∝ ≤ ≥ ≃ ≅ ≡ < > ≪ ≫ ⊂ ∉ ⊃ ⊆ ⊇ ⇒ ⇐ ⇔ ⇒ ⇐ ⇔ ⇑ ⇓ ⇕ → ← ↔ → ← ↔ ↑ ↓ ↕ ↖ ↗ ↘ ↙ ↪ ↩ ⇀ ↼ ⇁ ↽

° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω