The room temperature is 20°C. Water in a container cools from 55°C to 45°C in 8 minutes. How much time will it take in cooling from 45°C to 35°C

Question

The room temperature is 20°C. Water in a container cools from 55°C to 45°C in 8 minutes. How much time will it take in cooling from 45°C to 35°C (A) 4 minutes (B) 12 minutes (C) 16 minutes (D) 24 minutes

Tardigrade Admin · Accepted Answer

R propto(θ-θ0).Hence R1 propto(50-20) and R2 propto(40-20).Thus R1/R2=3/2.Since same amount of heat is lost in both the cases therefore R1t1=R2t2

Q. The room temperature is 20 $^{\circ}$ C. Water in a container cools from 55 $^{\circ}$ C to 45 $^{\circ}$ C in 8 minutes. How much time will it take in cooling from 45 $^{\circ}$ C to 35 $^{\circ}$ C

4 minutes

12 minutes

16 minutes

24 minutes

$R \propto (θ - θ_{0}) . He n ce R_{1} \propto (50 - 20) an d R_{2} \propto (40 - 20) . T h u s R_{1} / R_{2} = 3/2. S in ce s am e am o u n t o f h e a t i s l os t in b o t h t h e c a ses t h ere f ore R_{1} t_{1} = R_{2} t_{2}$

Q. The room temperature is 20∘C. Water in a container cools from 55∘C to 45∘C in 8 minutes. How much time will it take in cooling from 45∘C to 35∘C