a thermometer records 680 mmHg at steam point and 440 mmHg at ice point. The temperature it records at 380 mmHg is

Assessment: WAEC SSCE - Physics - 2010 (Objective) Subject: Physics

Question 1 Report

a thermometer records 680 mmHg at steam point and 440 mmHg at ice point. The temperature it records at 380 mmHg is
Answer Details
To find the temperature at 380 mmHg, we need to interpolate between the steam and ice points. We can use the formula: t = ((P - Pice) / (Psteam - Pice)) x (Tsteam - Tice) + Tice where: - t is the temperature we want to find - P is the pressure we want to use for interpolation (380 mmHg in this case) - Pice is the pressure at the ice point (440 mmHg) - Psteam is the pressure at the steam point (680 mmHg) - Tice is the temperature at the ice point (0oC) - Tsteam is the temperature at the steam point (100oC) Plugging in the values, we get: t = ((380 - 440) / (680 - 440)) x (100 - 0) + 0 t = (-60 / 240) x 100 t = -25oC Therefore, the temperature recorded at 380 mmHg is -25oC.

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