The temperature of a body in air falls from 4 0 ∘ C to 2 4 ∘ C in 4 minutes. The temperature of the air is 1 6 ∘ C . The temperature of the body in the next 4 minutes will be:

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​ Δ T = T 2 ​ − T 1 ​ = 1 6 ∘ C And T 0 ​ = 1 6 ∘ C t 1 ​ Δ T ​ = − k ( 32 − 1 6 ∘ ) ... ( i ) 4 ( 24 − T 3 ​ ) ​ = − k ( 2 24 + T 3 ​ ​ − 16 ) .... ( ii ) 4 16 ​ = − k ( 16 ) ⇒ 4 ( 24 − T 3 ​ ) ​ = − k ( 12 + 2 T 3 ​ ​ − 16 ) ⇒ 24 − T 3 ​ 16 ​ = T 3 ​ 16 ​ T 2 ​ ⇒ 2 T 3 ​ ​ − 4 = 24 − T 3 ​ ⇒ 2 3 T 3 ​ ​ = 28 ⇒ T 3 ​ = 3 56 ​ ∘ C ​

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