A thermometer reading 10 degrees C is brought into a room with a constant temperature of 38 degrees Upper C. (a) If the thermometer reads 14 degrees C after 4 minutes, what will it read after being in the room for 6 minutes?

Explanation:

We shall apply Newton's laws of cooling .

dT / dt = k ( T₁ - T₂ )

dT is change in temperature in time dt , k is constant , T₁ and T₂ are temperature of cold  object and hot surrounding respectively.

For  the first case of 4 minutes

(14 - 10)/ 4 = k [(14+10) /2 - 38 ]  , T₁ = (14+10) /2 , the average  temperature

1 = - 26 k

Using the formula for next two minutes

T-14 / 2 = k [(14+T) /2 - 38 ]

T-14 / 2 = 1/26[ 38 - (14+T) /2 ]

T / 2 - 7 = 1.46 - .27 - T / 52

T/2 + T/52 = 7 + 1.46 - .27

= .52 T = 8.19

T = 15.75 degree

this is an example of "committed" time.

committed time, as contracted time, takes need over essential and available time since it is seen as profitable work. it alludes to the time allotted to keep up a home and family. at the point when a man is commuting using committed time this individual may feel that the drive is an obligation to family, for example, strolling youngsters to class or driving a mate to work. contracted and committed time clients may feel that their commute could really compare to the commute of important or leisure time clients on the grounds that their commute is profitable work. in this manner, they might be more disposed to pick a mechanized method of movement.  

305.7

explanation:

density =m/v

density =917/3.00

density = 305.

approximately = 305.7

in four significant figures