TS EAMCET · Physics · Thermal Properties of Matter
A cup of coffee cools from \(150^{\circ} \mathrm{F}\) to \(144^{\circ} \mathrm{F}\) in \(1 \mathrm{~min}\) in a room temperature at \(72^{\circ} \mathrm{F}\). How much time with the coffee take to cool from \(110^{\circ} \mathrm{F}\) to \(104^{\circ} \mathrm{F}\) in the same room?
- A \(1.55 \mathrm{~min}\)
- B \(2.14 \mathrm{~min}\)
- C \(2.89 \mathrm{~min}\)
- D \(3.35 \mathrm{~min}\)
Answer & Solution
Correct Answer
(B) \(2.14 \mathrm{~min}\)
Step-by-step Solution
Detailed explanation
Given, in first case, \(T_1=150^{\circ} \mathrm{F}, T_2=144^{\circ} \mathrm{F}, t_1=1 \mathrm{~min}\) and room temperature, \(T_0=72^{\circ} \mathrm{F}\) According to Newton's law of cooling,…
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