The 96 prismatic lithium-ion battery cells were manufactured in Korea and the Scottish firm Axeon assembled them into a 1411-pound, 338-volt pack that provides a 71-kWh energy capacity and a claimed 1D miles of range [Note: replace D with your ID's last two digits]. (a) 1. What is the charge capacity of the battery? 2. What is the average current that the battery can deliver if it's used continuously for 20 hours? 3. Calculate the rate of energy consumption per meter (Joule/meter). (b) The company is conducting set of experiments to maximize the time needed to discharge the battery. It was found that the time (t) is proportional to different powers of acceleration (a), mass (m), and energy (E) of the battery. Use dimensional homogeneity to find the formula of the time and the value of overall dimensionless proportional constant using t=24 hours, the voltage is 338 V, the Energy is 71 kWh, velocity is= 1D km/hr, and the mass is 14D-pound.
The 96 prismatic lithium-ion battery cells were manufactured in Korea and the Scottish firm Axeon assembled them into a 1411-pound, 338-volt pack that provides a 71-kWh energy capacity and a claimed 1D miles of range [Note: replace D with your ID's last two digits]. (a) 1. What is the charge capacity of the battery? 2. What is the average current that the battery can deliver if it's used continuously for 20 hours? 3. Calculate the rate of energy consumption per meter (Joule/meter). (b) The company is conducting set of experiments to maximize the time needed to discharge the battery. It was found that the time (t) is proportional to different powers of acceleration (a), mass (m), and energy (E) of the battery. Use dimensional homogeneity to find the formula of the time and the value of overall dimensionless proportional constant using t=24 hours, the voltage is 338 V, the Energy is 71 kWh, velocity is= 1D km/hr, and the mass is 14D-pound.
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Answer this question. Part (b) & (c).
![Task 1
The 96 prismatic lithium-ion battery cells were manufactured in Korea and the Scottish firm
Axeon assembled them into a 1411-pound, 338-volt pack that provides a 71-kWh energy
capacity and a claimed 1D miles of range [Note: replace D with your ID's last two digits].
(a)
1. What is the charge capacity of the battery?
2. What is the average current that the battery can deliver if it's used continuously for
20 hours?
3. Calculate the rate of energy consumption per meter (Joule/meter).
(b) The company is conducting set of experiments to maximize the time needed to discharge
the battery. It was found that the time (t) is proportional to different powers of
acceleration (a), mass (m), and energy (E) of the battery. Use dimensional homogeneity
to find the formula of the time and the value of overall dimensionless proportional
constant using t=24 hours, the voltage is 338 V, the Energy is 71 kWh, velocity is= 1D
km/hr, and the mass is 14D-pound.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F18a41ef1-1685-4c48-8a16-f9403050d347%2F5ddf11a3-dd4a-4dac-b28a-af8f51b2ea8d%2Fq1cuthr_processed.png&w=3840&q=75)
Transcribed Image Text:Task 1
The 96 prismatic lithium-ion battery cells were manufactured in Korea and the Scottish firm
Axeon assembled them into a 1411-pound, 338-volt pack that provides a 71-kWh energy
capacity and a claimed 1D miles of range [Note: replace D with your ID's last two digits].
(a)
1. What is the charge capacity of the battery?
2. What is the average current that the battery can deliver if it's used continuously for
20 hours?
3. Calculate the rate of energy consumption per meter (Joule/meter).
(b) The company is conducting set of experiments to maximize the time needed to discharge
the battery. It was found that the time (t) is proportional to different powers of
acceleration (a), mass (m), and energy (E) of the battery. Use dimensional homogeneity
to find the formula of the time and the value of overall dimensionless proportional
constant using t=24 hours, the voltage is 338 V, the Energy is 71 kWh, velocity is= 1D
km/hr, and the mass is 14D-pound.
![Task 1
The 96 prismatic lithium-ion battery cells were manufactured in Korea and the Scottish firm
Axeon assembled them into a 1411-pound, 338-volt pack that provides a 71-kWh energy
capacity and a claimed 1D miles of range [Note: replace D with your ID's last two digits].
(a)
1. What is the charge capacity of the battery?
2. What is the average current that the battery can deliver if it's used continuously for
20 hours?
3. Calculate the rate of energy consumption per meter (Joule/meter).
(b) The company is conducting set of experiments to maximize the time needed to discharge
the battery. It was found that the time (t) is proportional to different powers of
acceleration (a) mass (m), and energy (E) of the battery. Use dimensional homogeneity
to find the formula of the time and the value of overall dimensionless proportional
constant using t=24 hours, the voltage is 338 V, the Energy is 71 kWh, velocity is= 1D
km/hr, and the mass is 14D-pound.
(c) Assume that the charge capacity of the battery can be given by the following formula:
Q = Gnm³V-21?w0.5.E²
Where m is the mass of the cell of the battery in kg, V is the voltage of the battery in volts,
l is the length of the cell in m, w is the width of the cell in m, and E is the Energy of the cell
in kWh, and n is the number of cells in the pack.
If n = 100, m = D pound, 1= 25 cm, w= 5 cm, V=338 V and E=DkWh. Find the value
of dimensionless constant G?
1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F18a41ef1-1685-4c48-8a16-f9403050d347%2F5ddf11a3-dd4a-4dac-b28a-af8f51b2ea8d%2Fls2k5jn_processed.png&w=3840&q=75)
Transcribed Image Text:Task 1
The 96 prismatic lithium-ion battery cells were manufactured in Korea and the Scottish firm
Axeon assembled them into a 1411-pound, 338-volt pack that provides a 71-kWh energy
capacity and a claimed 1D miles of range [Note: replace D with your ID's last two digits].
(a)
1. What is the charge capacity of the battery?
2. What is the average current that the battery can deliver if it's used continuously for
20 hours?
3. Calculate the rate of energy consumption per meter (Joule/meter).
(b) The company is conducting set of experiments to maximize the time needed to discharge
the battery. It was found that the time (t) is proportional to different powers of
acceleration (a) mass (m), and energy (E) of the battery. Use dimensional homogeneity
to find the formula of the time and the value of overall dimensionless proportional
constant using t=24 hours, the voltage is 338 V, the Energy is 71 kWh, velocity is= 1D
km/hr, and the mass is 14D-pound.
(c) Assume that the charge capacity of the battery can be given by the following formula:
Q = Gnm³V-21?w0.5.E²
Where m is the mass of the cell of the battery in kg, V is the voltage of the battery in volts,
l is the length of the cell in m, w is the width of the cell in m, and E is the Energy of the cell
in kWh, and n is the number of cells in the pack.
If n = 100, m = D pound, 1= 25 cm, w= 5 cm, V=338 V and E=DkWh. Find the value
of dimensionless constant G?
1.
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