A full glass of cold water at a temperature of 5 degrees and half a glass of hot water at a temperature of 86 degrees
| May 1, 2021 | education
A full glass of cold water at a temperature of 5 degrees and half a glass of hot water at a temperature of 86 degrees is poured into a thin-walled flask. Find the temperature of the water in the flask.
Given: Vx (volume of cold water, full glass) = 2Vg (volume of hot water, half a glass); tx (cold water temperature) = 5 ºС; tg (hot water temperature) = 86 ºС.
To determine the temperature of water in a thin-walled flask, we use the equality: Cw * mx * (t – tx) = Cw * mg * (tg – t).
ρ * Vх * (t – tх) = ρ * Vg * (tg – t).
2Vg * (t – tx) = Vg * (tg – t).
2 * (t – tx) = tg – t.
2t – 2tх = tg – t.
3t = tg + 2tx and t = (tg + 2tx) / 3 = (86 + 2 * 5) / 3 = 32 ºС.
Answer: The temperature is 32 ºС.
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