Newton S Law Of Cooling

Step 1: Use Newton's Law of Cooling.
Newton's Law of Cooling is given by the equation: Where is the temperature of the body at time , is the room temperature, and is the cooling constant.

Step 2: Set up the initial conditions.
At , the temperature is , and at minutes, . The room temperature is . Substitute into the cooling equation: This can be solved by separating variables and integrating.

Step 3: Solve the differential equation.
By solving the differential equation, we find the value of from the data provided and use it to calculate the temperature after 1 hour.

Final Answer: Using the derived value of , the temperature of the body after 1 hour can be found, approximately .