A body cools from 60°C to 40°C in 6 minutes. If the temperature of the surroundings is 10°C, then after the next 6 minutes, its temperature will be _____ °C. [2023]

STUDY MATERIALS
COURSES
MORE
SUCCESS STORY
ADMISSION
STORE

Back

JEE ADVANCE

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

JEE MAIN

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

NEET

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

BITSAT

CLASS XI - XII

CLASS XI - XII

CBSE BOARD

CLASS IX

CLASS X

CLASS XI

CLASS XII

CLASS VI

CLASS VII

CLASS VIII

UP BOARD

CLASS IX
CLASS X
CLASS XI
CLASS XII

CLASS IX

CLASS X

CLASS XI

CLASS XII

CUET

CRASH COURSE

CRASH COURSE

Courses

CLASSROOM COURSES
ONLINE COURSES

ONLINE COURSES

More

Solution

Q.
A body cools from 60°C to 40°C in 6 minutes. If the temperature of the surroundings is 10°C, then after the next 6 minutes, its temperature will be _____ °C. [2023]

Ans.
(28)

$By average form of Newton's law of cooling$

$\frac{20}{6} = k (50 - 10)$ ...(i)

$\frac{40 - T}{6} = k (\frac{40 + T}{2} - 10)$ ...(ii)

$From equations (i) and (ii)$

$\frac{20}{40 - T} = \frac{40}{10 + \frac{T}{2}}$

$10 + \frac{T}{2} = 80 - 2 T$

$\frac{5 T}{2} = 70 \Rightarrow T = 28 ° C$

Want Us to Email you About Special Offers & Updates?