A hot solid metal ball of radius R is left for cooling in a room. Rate of cooling is propotional to?
Answers
hence, rate of cooling is directly proportional to R²
rate of cooling is given by,
-dT/dt = (4σAe/ms) (T - T_0)
where σ is Stefan's constant, A is cross sectional area of body , e is emissivity , m is mass of body, s is specific heat capacity of body, (T- T_0) is temperature change from body to surroundings.
we know, A ∝ R² [ where R is radius of spherical object ]
so, -dT/dt ∝ A
⇒-dT/dt ∝ R²
hence, rate of cooling is directly proportional to R².
also read similar questions: If a refrigerator's door is kept open. Will the room become hot or cool? Explain.
https://brainly.in/question/1085748
cooling rate of sphere of 600K at external environment (200K) is R. when the temperature of sphere is reduced to 400K th...
https://brainly.in/question/7729867
hence, rate of cooling is directly proportional to R²
where σ is Stefan's constant, A is cross sectional area of body , e is emissivity , m is mass of body, s is specific heat capacity of body, (T- T_0) is temperature change from body to surroundings. hence, rate of cooling is directly proportional to R²