Question

Use this formula and the situation below to construct a model that describes uranium's temperature, T, based on amount of time t (in mins) that have passed.

B. Linear model C. Exponential model (D) Logarithmic model E. None of the above The temperature of an object, T, in a different surrounding temperature T, will behave according to the formula (t) = Aekt +Ts, where t is minutes, A is a constant, and k is a constant. Use this formula and the situation below to construct a model that describes the uranium's temperature, T, based on the amount of time t (in minutes) that have passed. Choose the correct constant k from the options below. Uranium is taken out of the reactor with a temperature of 170° C and is placed into a 13° C bath to cool. After 99 minutes, the uranium has cooled to 129° C. A.) k = -0.01737 B. k = -0.01737 C. k= -0.03568 D. k= -0.03522 E. None of the above - k--,01374

Answer 1

Given 1- Uranium is taken out of the reactor with temperature of 170° C and is placed into 13°C the bath cool. After 22 minutes, uranium has cooled to 129°C. Solution)- Newton Law of low of cooling Ae environment Ts :- A :- kt Tit) + Tg time in minutes surd To - TJ Initial temp. 170°c To - Is = 13°C T(4) = 129°c t = 22 min 22k (170-13) e + 13 129 22k 157 e 129-13 22k 116 157 Taking la both side 222 In cea 116 (57 ln Cits 157 k 116 22

RA 116 157 J २२ k 0.0/3757 कि J Thank you