Question

Open in App

Verified by Toppr

Correct option is D)

$dtdT =k(T−T_{surrounding})$...(i)

integrating equation (i)

integrating equation (i)

$T_{i}−T_{surrounding}T_{f}−T_{surrounding} =e_{−kt}$..(ii)

From given data in question in first $7$ minutes $T_{f}=40C;T_{i}=60C;T_{surrounding}=10_{o}C$

From given data in question in first $7$ minutes $T_{f}=40C;T_{i}=60C;T_{surrounding}=10_{o}C$

$60−1040−10 =e_{−k7},$...(iii)

Now the temperature decrease further due to temperature gradient

From given data in question in next $7$ minutes $T_{f}=?;T_{i}=40C;T_{surrounding}=10_{o}C$

applying equation (i)

Now the temperature decrease further due to temperature gradient

From given data in question in next $7$ minutes $T_{f}=?;T_{i}=40C;T_{surrounding}=10_{o}C$

applying equation (i)

$40−10T_{f}−10 =e_{−k7},$...(iv)

substituting value of $e_{−k7},$ from equation(iii)

substituting value of $e_{−k7},$ from equation(iii)

$40−10T_{f}−10 =53 $

$T_{f}=10+18=28_{o}C$

Hence correct option is D

Hence correct option is D

Solve any question of Thermal Properties Of Matter with:-

0

0