Ramu mixes 2 litres of water at 100° C and 18 litres of water at 32° C. What temperature will the water have after mixing?

Question

Question

This question was previously asked in

SSC CHSL Exam 2024 Tier-I Official Paper (Held On: 08 Jul, 2024 Shift 3)

Answer 1

Given:

Water quantities and temperatures:

Formula used:

Final temperature (T) after mixing = (m₁ × T₁ + m₂ × T₂) / (m₁ + m₂)

Where m₁ and m₂ are the masses (or volumes in this case, since the density of water is uniform), and T₁ and T₂ are the temperatures of the water.

Calculation:

⇒ T = (2 × 100 + 18 × 32) / (2 + 18)

⇒ T = (200 + 576) / 20

⇒ T = 776 / 20

⇒ T = 38.8°C

∴ The final temperature of the water after mixing is 38.8°C.