Imagine a system, that can keep the room...

Imagine a system, that can keep the room temperature within a narrow range between `20^@C` to `25^@C`. The system includes a heat engine operating with variable power P = 3KT, where K is a constant coefficient, depending upon the thermal insulation of the room, the area of the walls and the thickness of the walls. T is temperature of the room in temperature drops lower than `20^@C`, the engine turns on, when the temperature increase over `25^@`C, the engine turns off, room looses energy at a rate of `K(T - T_0), T_0` is the outdoor temperature. The heat capacity of the room is C.
Given `(T_0=10^@C, ln(3/2) =0.4 , ln(6/5)=0.18 , C/K`=750 SI-unit)
Suppose at t = 0, the engine turns off, after how much time interval, again, the engine will turn on

10 min

5 min

1.125 min

2.25 min

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Read the passage carefully and answer the followingquestions. Imagine a system, that can keep the room temperature within a narrow range between 20^(@)C to 25^(@)C . the system includes a heat engine operating with variable power P =KT , where K is a constant coefficient, depending upon the thermal insulation of the room, the area of the walls and the thickness of the walls. T is temperature of the room in degree, when the room temperature drops lower than 20^(@)C , the engine turns on,when the temperature increase over 25^(@)C , theengineturnsoff, room looses energy at a ate of K(T-T_(0) is the outdoor temperature. Thde heat capacity of the room is C. Given (T_(0)=10^(@)C,In((3)/(2))=0.4,In((6)/(5))=0.18,(C)/(K)=750SI-unit) Suppose at t = 0, the engine turns off, after how much time interval, again, the engine will turn on:

10 minute

5 minute

`1.125 minute`

`2.25 minute`

lower

higher

same

may be lower or higher depending on atmospheric pressure

Formaldehyde

Butanone

Acetone

Formalin