The problem seems to be based on Newton's Law of Cooling, which states that the rate of change of temperature of an object is proportional to the difference between its own temperature and the ambient temperature (i.e., the temperature of its surroundings).

However, to solve this problem, we need the value of the constant of proportionality, which is not given in the problem. Without this constant, we cannot calculate the temperature of the body after 2 hours.

If we had the constant, we could set up and solve the differential equation dT/dt = -k(T - Ta), where T is the temperature of the body, Ta is the ambient temperature, t is the time, and k is the constant of proportionality.

So, unfortunately, without more information, we cannot solve this problem.

Question

The problem seems to be based on Newton's Law of Cooling, which states that the rate of change of temperature of an object is proportional to the difference between its own temperature and the ambient temperature (i.e., the temperature of its surroundings).

However, to solve this problem, we need the value of the constant of proportionality, which is not given in the problem. Without this constant, we cannot calculate the temperature of the body after 2 hours.

If we had the constant, we could set up and solve the differential equation dT/dt = -k(T - Ta), where T is the temperature of the body, Ta is the ambient temperature, t is the time, and k is the constant of proportionality.

So, unfortunately, without more information, we cannot solve this problem.

Knowee AI · Accepted Answer

The problem seems to be based on Newton's Law of Cooling, which states that the rate of change of temperature of an object is proportional to the difference between its own temperature and the ambient temperature (i.e., the temperature of its surroundings).

However, to solve this problem, we need the value of the constant of proportionality, which is not given in the problem. Without this constant, we cannot calculate the temperature of the body after 2 hours.

If we had the constant, we could set up and solve the differential equation dT/dt = -k(T - Ta), where T is the temperature of the body, Ta is the ambient temperature, t is the time, and k is the constant of proportionality.

So, unfortunately, without more information, we cannot solve this problem.

If the body cools from 135°C to 80°C at room temperature of 25°C in 60 minutes, then the temperature of body after 2 hours is

Question

If the body cools from 135°C to 80°C at room temperature of 25°C in 60 minutes, then the temperature of body after 2 hours is

Solution

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