An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (2)
Convert kilograms to pounds using the conversion factor 1 kg ≈ 2.20462 lb.
Check the consistency of each option by comparing the converted values.
Identify that options 1, 2, and 3 are consistent.
Select the option with the largest values, which represents the maximum net quantity: 2.5 k g , 5.5 l b .
Explanation
Understanding the Problem We need to determine which of the given options for the maximum net quantity of dry ice is consistent, considering the conversion between pounds (lb) and kilograms (kg). The conversion factor is approximately 1 kg = 2.20462 lb.
Analyzing Each Option Let's analyze each option:
Option 1: 2.3 lb, 1.01 kg Convert 1.01 kg to pounds: 1.01 × 2.20462 = 2.2266662 lb. This is approximately 2.23 lb, which is close to 2.3 lb.
Option 2: 2.0 kg, 4.4 lb Convert 2.0 kg to pounds: 2.0 × 2.20462 = 4.40924 lb. This is approximately 4.4 lb, which matches the given value.
Option 3: 2.5 kg, 5.5 lb Convert 2.5 kg to pounds: 2.5 × 2.20462 = 5.51155 lb. This is approximately 5.5 lb, which matches the given value.
Option 4: 2.0 lb, 0.98 kg Convert 0.98 kg to pounds: 0.98 × 2.20462 = 2.1605276 lb. This is approximately 2.16 lb, which is not close to 2.0 lb.
Determining the Correct Option Based on the conversions, options 1, 2, and 3 appear to be consistent. However, we need to choose the correct one from the original list. The question asks for the maximum net quantity allowed. Comparing the options:
Option 1: 2.3 lb, 1.01 kg Option 2: 2.0 kg, 4.4 lb Option 3: 2.5 kg, 5.5 lb Option 4: 2.0 lb, 0.98 kg
Since the question is asking for the maximum net quantity, we should look for the option with the largest values in both pounds and kilograms. Comparing the values, Option 3 (2.5 kg, 5.5 lb) has the largest values.
Final Answer Therefore, the maximum net quantity of dry ice allowed per package or per person is 2.5 kg, 5.5 lb.
Examples
Understanding maximum quantity limits is crucial in various real-life scenarios, especially in transportation and logistics. For instance, when shipping temperature-sensitive goods like pharmaceuticals or certain food items using dry ice, knowing the maximum allowed quantity ensures compliance with safety regulations. Exceeding these limits can lead to hazardous situations due to the sublimation of dry ice, which releases carbon dioxide, potentially causing asphyxiation in enclosed spaces. Therefore, adhering to these limits is essential for safe and legal transportation.
Approximately 2.81 × 1 0 21 electrons flow through the device when a current of 15.0 A is delivered for 30 seconds. This is calculated using the relationship between current, charge, and the charge of a single electron.
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