When an object is removed from a furnace and placed in an environment with a constant temperature of 62 °F, its temperature is 1620 °F. One hour after it is removed, the temperature of the object is 1184 °F. Find the temperature of the object 6 hours after the object is removed from the furnace. (Round your answer to 2 decimal places.)

after 6 hours the temperature of the object will be 297.33 F

Step-by-step explanation:

We can use Newton's Law of Cooling:

here,

: The temperature that of the object (that is changing)

: Temperature of the surroundings (that is not changing) = 62

: time (in unit hours)

: Are constants.

In our case were given two conditions:

: at time t = 0, the temperature of the object is 1620

and

: at time t = 1, the temperature of the object is 1184

we're going to use these conditions to find the values of C and k

using the first equation:

using the second equation

Putting these values back in the original equation:

considering the 'ln' and 'e' cancel out, this can also be written as:

Now we need to find what the temperature of the object will be at 6 hours.

after 6 hours the temperature of the object will be 297.33 F

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distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.