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Water is leaking out of a tank at a rate of 170 liters per minute. What is this flow rate in gallons per second? Write final answer to two decimal places. Unit Conversion Table Use the Unit Conversion Table to complete the conversion. Convert the volume first then convert time. Some spaces may not require numbers - in which case enter 1 . Some units may be blank - in which case select the fourth item in the list, which is a blank space. Select an answer \( v \)

Ask by Gray Phillips. in the United States
Mar 11,2025

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Answer

The flow rate is 0.75 gallons per second.

Solution

1. Write the given rate: \[ 170 \, \text{liters per minute} \] 2. Convert liters to gallons using the conversion factor: \[ 1 \, \text{liter} = 0.264172 \, \text{gallons} \] Therefore, the volume in gallons per minute is: \[ 170 \times 0.264172 \, \text{gallons} = 44.91124 \, \text{gallons per minute} \] 3. Convert minutes to seconds. Since: \[ 1 \, \text{minute} = 60 \, \text{seconds} \] the rate in gallons per second is: \[ \frac{44.91124}{60} \, \text{gallons per second} \approx 0.74852067 \, \text{gal/s} \] 4. Rounding to two decimal places: \[ 0.75 \, \text{gal/s} \] Final answer: \[ v = 0.75 \, \text{gallons per second} \]

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To convert the flow rate of water from liters per minute to gallons per second, we start by knowing that 1 liter is approximately 0.264172 gallons. So, to convert 170 liters to gallons, we multiply: 170 liters * 0.264172 gallons/liter = 44.94 gallons. Next, we need to convert minutes into seconds. Since there are 60 seconds in a minute, we divide the gallons per minute by 60: 44.94 gallons/minute ÷ 60 seconds/minute = 0.749 gallons/second. Therefore, the flow rate of water leaking from the tank is approximately: **0.75 gallons per second** (to two decimal places). This kind of measurement is crucial in many fields, such as plumbing and environmental science, as it helps in assessing water loss and managing resources effectively. Whether you’re a plumber troubleshooting a leak or an environmentalist studying water conservation, knowing your flow rates can make all the difference! For anyone involved in calculations like this, it’s beneficial to familiarize yourself with unit conversions. Many people also mistakenly mix up the order of conversion or forget to convert both the volume and time correctly. A great tip is to always write out your conversion factors, double-check your math, and use a calculator for complex conversions to avoid these common mishaps.

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