A pot of stew is placed on a stove to heat. The temperature of the liquid reaches 170°F, and then the pot is taken off the burner and placed on a kitchen counter. The temperature of the air in the kitchen is 76°F.

If k = 0.34, the temperature of the liquid after 7 hours will be (blank) ºF. (Hint: Use Newton’s cooling model.)

Question

A pot of stew is placed on a stove to heat. The temperature of the liquid reaches 170°F, and then the pot is taken off the burner and placed on a kitchen counter. The temperature of the air in the kitchen is 76°F.

If k = 0.34, the temperature of the liquid after 7 hours will be   (blank)    ºF. (Hint: Use Newton’s cooling model.)

j.maule · Answer

@misty1212

anonymous · Answer

dT/dt = -k ( T - Ta )

j.maule · Answer

@jayzdd do I put that in the blank?

anonymous · Answer

thats an equation you need

j.maule · Answer

@jayzdd I don't know that equation

misty1212 · Answer

HII!

anonymous · Answer

solving for T 
T(t) = Ta + (To - Ta) * e ^(-kt)

misty1212 · Answer

$$170-76=94$$ compute $$94\times e^{-.34\times 7}$$ then add 76 to the result