A Frozen Chicken At $0 ^ { \circ } \mathrm { C }$

question 18

Multiple Choice

A frozen chicken at $0 ^ { \circ } \mathrm { C }$ is taken out of the freezer and placed on a table at $20 ^ { \circ } \mathrm { C }$ . One hour later the temperature of the chicken is $18 ^ { \circ } \mathrm { C }$ . The mathematical model for the temperature $T ( t )$ as a function of time $t$ is (assuming Newton's law of warming)

• A) \(\frac { d T } { d t } = k T , T ( 0 ) = 0 , T ( 1 ) = 18\)
• B) \(\frac { d T } { d t } = k ( T - 20 ) , T ( 0 ) = 0 , T ( 1 ) = 18\)
• C) \(\frac { d T } { d t } = ( T - 20 ) , T ( 0 ) = 0 , T ( 1 ) = 18\)
• D) \(\frac { d T } { d t } = T , T ( 0 ) = 0 , T ( 1 ) = 18\)
• E) \(\frac { d T } { d t } = k ( T - 18 ) , T ( 0 ) = 0 , T ( 1 ) = 18\)

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Definitions:

Hip Fractures

Breaks in the upper part of the thigh bone (femur), commonly associated with osteoporosis and falls in the elderly.

Falls

Unexpected events where a person comes to rest on the ground, floor, or lower level, often leading to injuries, especially in elderly populations.

Growth and Development

The process through which humans and other organisms undergo changes in size, shape, and function over time, encompassing physical, cognitive, and emotional development.

Life Span

The maximum duration of life of a species or individual, often considered in the context of factors that influence the length and quality of life.