When 52 g of a liquid is heated in a vessel from 0°C to 100°C, 2 g spills out. If 104 g of same liquid in same conditions is heated from 0°C to 50°C, find spilled mass (g).
Physics · Mixed Chapter
JEE Main Practice

Question

When 52 g of a liquid is heated in a vessel from 0°C to 100°C, 2 g spills out. If 104 g of same liquid in same conditions is heated from 0°C to 50°C, find spilled mass (g).

G1 Physics · Accepted Answer

Step 1: In small-expansion approximation, apparent overflow mass is proportional to initial liquid mass and temperature rise. Step 2: Second case has twice the mass, but half the temperature rise. Step 3: Relative overflow factor = (104/52)×(50/100) = 2×½ =1. Step 4: Spilled mass remains 2 g.