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.

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Detailed Solution

Temp of triple point, T₁ = 273.16k t
Temp of lead, T_l = ?
Given that, P_l = 2.2P_t from charle's law,
$\frac{P_{1}}{T_{1}} = \frac{P_{t}}{T_{t}} \Rightarrow \frac{2.2 P_{t}}{T_{l}} = \frac{P_{t}}{273.16}$
$\Rightarrow$ T_l = 601k

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