Answer to Question #346159 in Molecular Physics | Thermodynamics for Jelly

Question #346159

A scientist working late at night in her low-temperature physics laboratory decides to have a cup of hot tea, but discovers the lab hot plate is broken. Not to be deterred, she puts about 8.00 oz of water, at 12.0°C, from the tap into a lab dewar (essentially a large thermos bottle) and begins shaking it up and down. With each shake the water is thrown up and falls back down a distance of 31.3 cm.

 If she can complete 30 shakes per minute, how long will it take for the water to reach 77.1°C?



1
Expert's answer
2022-05-30T15:17:42-0400

"Q_0=2mgh,"

"Q=nQ_0=cm\u2206t,"

"n=\\frac{cm\u2206t}{2mgh}=\\frac{c\u2206t}{2gh},"

"T=\\frac n{T_0}=\\frac{c\u2206t}{2ghT_0}=24.7^h."

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