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QPage 11: Q9: HC Verma: Concepts of Physics - Volume 2 Heat and Temperature Page 11: Q9 Solution: The density of water at 4�C is supposed to be . Is it same at…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often treat $\rho=1000\ \text{kg m}^{-3}$ at 4 °C as a universal constant, overlooking that density also depends on pressure; at high altitude the lower atmospheric pressure makes water slightly less dense. Remember the given value is defined for 1 atm (sea‑level) conditions, and even a nearly incompressible fluid shows measurable density change when pressure varies.

The density of water at 4�C is supposed to be 1000 kg m−31000 \text{ kg m}^{-3}. Is it same at sea level and at high altitude?

Step-by-Step Verified Solution

**Answer:** No, the density of water at 4�C is not the same at sea level and at high altitude. **Step-by-Step Explanation:** Density depends on pressure as well as temperature. At high altitude, atmospheric pressure is lower. Water is slightly compressible, so its density at lower pressure is slightly less. The difference is small but nonzero.

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