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Ch.1 - Chemical Tools: Experimentation & Measurement
McMurry - Chemistry 8th Edition
McMurry8th EditionChemistryISBN: 9781292336145Not the one you use?Change textbook
All textbooksMcMurry 8th EditionCh.1 - Chemical Tools: Experimentation & MeasurementProblem 118a
Chapter 1, Problem 118a

Ocean currents are measured in Sverdrups (sv) where 1 sv = 109 m3/s. The Gulf Stream off the tip of Florida, for instance, has a flow of 35 sv. (a) What is the flow of the Gulf Stream in milliliters per minute?

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Step 1: Understand the problem. We are given the flow of the Gulf Stream in Sverdrups (sv) and we need to convert this to milliliters per minute. We know that 1 sv = 10^9 m^3/s and 1 m^3 = 10^6 mL.
Step 2: Convert the flow from sv to m^3/s. To do this, multiply the given flow in sv by the conversion factor 10^9 m^3/s. This will give you the flow in m^3/s.
Step 3: Convert the flow from m^3/s to mL/s. To do this, multiply the flow in m^3/s by the conversion factor 10^6 mL/m^3. This will give you the flow in mL/s.
Step 4: Convert the flow from mL/s to mL/min. To do this, multiply the flow in mL/s by the conversion factor 60 s/min. This will give you the flow in mL/min.
Step 5: The result from step 4 is the flow of the Gulf Stream in milliliters per minute.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one set of units to another set of units. In this question, we need to convert the flow rate from Sverdrups (sv) to milliliters per minute (mL/min). Understanding how to convert between different units of volume and time is essential for solving the problem.
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Conversion Factors

Volume and Flow Rate

Flow rate is a measure of the volume of fluid that passes through a given surface per unit of time. In this case, the Gulf Stream's flow rate is given in Sverdrups, which represents cubic meters per second. Recognizing the relationship between volume, flow rate, and time is crucial for accurately calculating the flow in different units.
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Metric System

The metric system is a decimal-based system of measurement used worldwide, which includes units such as meters, liters, and grams. Understanding the metric system is important for performing conversions, as it allows for straightforward calculations between units like cubic meters and milliliters, facilitating the conversion needed in this question.
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Textbook Question

Ocean currents are measured in Sverdrups (sv) where 1 sv = 109 m3/s. The Gulf Stream off the tip of Florida, for instance, has a flow of 35 sv. (b) What mass of water in the Gulf Stream flows past a given point in 24 hours? The density of seawater is 1.025 g/mL.

Textbook Question

Ocean currents are measured in Sverdrups (sv) where 1 sv = 109 m3/s. The Gulf Stream off the tip of Florida, for instance, has a flow of 35 sv. (c) How much time is required for 1 petaliter (PL; 1 PL = 1015 L) of seawater to flow past a given point?