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Two soap bubbles coalesce to form a sing...

Two soap bubbles coalesce to form a single large drop. Match the following.
`|{:(,"Table-1",,"Table-2"),((A),"Surface energy in the",(P),"increase"),(,"process will",,),((B),"Temperature of the",(Q),"decrease"),(,"drop will",,),((C),"Pressure inside the",(R),"remain same"),(,"soap bubble will",,):}|`

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The correct Answer is:
To solve the problem of matching the effects of two soap bubbles coalescing into a single larger drop, we can analyze each statement in Table 1 and determine the corresponding effects in Table 2. ### Step-by-Step Solution: 1. **Understanding Coalescence**: When two soap bubbles coalesce, they combine to form a single larger bubble. This process involves changes in surface area, surface energy, pressure, and temperature. 2. **Surface Energy**: - When two bubbles combine, the total surface area decreases because the larger bubble has a smaller surface area relative to its volume compared to the two smaller bubbles. - Since surface energy is directly related to surface area, the surface energy of the system will decrease. - **Match A with R**: Surface energy in the process will decrease (A) → (R) decrease. 3. **Temperature of the Drop**: - The volume of the gas remains constant during the coalescence. However, the pressure inside the larger bubble decreases due to the larger radius. - According to the ideal gas law (PV=nRT), if the pressure decreases while the volume remains constant, the temperature must also decrease. - **Match B with Q**: Temperature of the drop will decrease (B) → (Q) decrease. 4. **Pressure Inside the Soap Bubble**: - As mentioned earlier, the pressure inside the larger bubble is lower than that of the smaller bubbles due to the larger radius. - Therefore, the pressure inside the soap bubble will decrease. - **Match C with Q**: Pressure inside the soap bubble will decrease (C) → (Q) decrease. ### Final Matching: - A → R (Surface energy will decrease) - B → Q (Temperature will decrease) - C → Q (Pressure will decrease) ### Summary of Matches: - A (Surface energy in the process will) → R (decrease) - B (Temperature of the drop will) → Q (decrease) - C (Pressure inside the soap bubble will) → Q (decrease)
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