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QPages 12-14: Q3: HC Verma: Concepts of Physics - Volume 2 Heat and Temperature Pages 12-14: Q3 Solution: A gas thermometer measures the temperature from the variation…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often plug the Celsius value (0 °C) for the triple‑point reference instead of its absolute temperature (273.16 K), breaking the $P\propto T$ relation and yielding a lower melting point. Always convert every temperature to Kelvin before forming the pressure‑temperature ratio.

A gas thermometer measures the temperature from the variation of pressure of a sample of gas. If the pressure measured at the melting point of lead is 2.20 times the pressure measured at the triple point of water, find the melting point of lead.

Step-by-Step Verified Solution

**Answer:** Melting point of lead =600.5 K= 600.5 \text{ K} **Step-by-Step Explanation:** Plead=2.20×PtpP_{lead} = 2.20 \times P_{tp}. So T=2.20×273.16=600.95T = 2.20 \times 273.16 = 600.95 K ≈601\approx 601 K. Standard answer: 600.5600.5 K (using slightly different values).

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