(b) Ground cherries will undergo abscission when the center temperature of the stem reaches 0°C or less. If the stem was initially at 38°C before it was coated in fire extinguisher medium, how long would it take for it to undergo abscission? When they ripen, ground cherry fruits naturally fall off the plant via a process known as abscission, in which the cylindrical stem of the fruit detaches from the plant. Abscission is an enzymatic process, but the release of the enzymes is heavily influenced by temperature. Extremely cold temperatures can cause premature abscission of unripe fruit. Farmer Joe wants to collect and sell as many ripe ground cherries as possible. Unfortunately, the ground cherry plants are located next to the property line, and Farmer Joe's clumsy neighbor inadvertently sprays them with a fire extinguisher when dealing with an out-of-control backyard grill fire. (a) If the entire surface of the ground cherry plant is completely covered by the fire extinguisher medium, estimate the depth into the stem of the fruit that will have changed temperature after 1 second. Some parameters to help your calculations: Fruit stems are cylinders 2-mm in diameter and 30-mm long (L~). The thermal conductivity of the stem is 0.06 W/m K, the specific heat capacity is 1000 J/kg-K, and the density is 500 kg/m³. Assume that the temperature at the surface of the stem instantaneously drops to the temperature of the fire extinguisher medium (-1.6°C).

Elements Of Electromagnetics
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(b) Ground cherries will undergo abscission when the center temperature of the stem
reaches 0°C or less. If the stem was initially at 38°C before it was coated in fire
extinguisher medium, how long would it take for it to undergo abscission?
Transcribed Image Text:(b) Ground cherries will undergo abscission when the center temperature of the stem reaches 0°C or less. If the stem was initially at 38°C before it was coated in fire extinguisher medium, how long would it take for it to undergo abscission?
When they ripen, ground cherry fruits naturally fall off the plant via a process known as
abscission, in which the cylindrical stem of the fruit detaches from the plant. Abscission is an
enzymatic process, but the release of the enzymes is heavily influenced by temperature.
Extremely cold temperatures can cause premature abscission of unripe fruit.
Farmer Joe wants to collect and sell as many ripe ground cherries as possible.
Unfortunately, the ground cherry plants are located next to the property line, and Farmer
Joe's clumsy neighbor
inadvertently sprays them with a fire
extinguisher when dealing with an out-of-control backyard grill fire.
(a) If the entire surface of the ground cherry plant is completely covered by the fire
extinguisher medium, estimate the depth into the stem of the fruit that will have changed
temperature after 1 second.
Some parameters to help your calculations:
Fruit stems are cylinders 2-mm in diameter and 30-mm long (L~). The thermal conductivity
of the stem is 0.06 W/m K, the specific heat capacity is 1000 J/kg-K, and the density is 500
kg/m³. Assume that the temperature at the surface of the stem instantaneously drops to the
temperature of the fire extinguisher medium (-1.6°C).
Transcribed Image Text:When they ripen, ground cherry fruits naturally fall off the plant via a process known as abscission, in which the cylindrical stem of the fruit detaches from the plant. Abscission is an enzymatic process, but the release of the enzymes is heavily influenced by temperature. Extremely cold temperatures can cause premature abscission of unripe fruit. Farmer Joe wants to collect and sell as many ripe ground cherries as possible. Unfortunately, the ground cherry plants are located next to the property line, and Farmer Joe's clumsy neighbor inadvertently sprays them with a fire extinguisher when dealing with an out-of-control backyard grill fire. (a) If the entire surface of the ground cherry plant is completely covered by the fire extinguisher medium, estimate the depth into the stem of the fruit that will have changed temperature after 1 second. Some parameters to help your calculations: Fruit stems are cylinders 2-mm in diameter and 30-mm long (L~). The thermal conductivity of the stem is 0.06 W/m K, the specific heat capacity is 1000 J/kg-K, and the density is 500 kg/m³. Assume that the temperature at the surface of the stem instantaneously drops to the temperature of the fire extinguisher medium (-1.6°C).
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