/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 2 What weight of water is required... [FREE SOLUTION] | 91Ó°ÊÓ

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What weight of water is required to fill a 25 -gallon aquarium?

Short Answer

Expert verified
The weight of the water required is 208.5 pounds.

Step by step solution

01

Understand the Problem

We are tasked with finding out how much water, in terms of weight, is needed to fill a 25-gallon aquarium. We know that the weight of a certain volume of water is typically given in pounds or kilograms.
02

Convert Gallons to Pounds

Given that 1 gallon of water approximately weighs 8.34 pounds, we need to convert the 25 gallons of water to pounds. To do this, we'll multiply the number of gallons (25) by the weight of one gallon (8.34 pounds).
03

Calculate the Weight

Using the conversion from the previous step, calculate the total weight of the water needed by performing the multiplication:\[ 25 \text{ gallons} \times 8.34 \text{ pounds/gallon} = 208.5 \text{ pounds} \].
04

Verify Units

Ensure that the final answer is in the correct unit. We initially converted gallons to pounds, so the weight of the water should indeed be in pounds.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Volume to Weight Conversion
Understanding the relationship between volume and weight is essential in many real-life situations, like filling an aquarium with water. Volumes, especially in terms of liquids, like water, are often measured in units such as gallons or liters. However, when considering how much something weighs, it’s useful to think about its weight in pounds or kilograms. This type of conversion typically involves using a conversion factor, which tells us how much a unit of volume weighs in terms of weight. For water, these conversions are helpful because water has a relatively consistent density. This means that 1 gallon of water approximately weighs a standard amount, enabling straightforward conversions between volume and weight. Knowing this, you can multiply the volume of water by the conversion factor to find the total weight. This skill is particularly useful not just in science, but also in everyday tasks involving liquids.
Gallons to Pounds Conversion
In the United States, gallons are often used to measure liquid volumes, including the water used to fill aquariums. Understanding how to convert gallons into pounds is straightforward if you use the correct conversion factor. It is commonly accepted that 1 gallon of liquid water has a weight of roughly 8.34 pounds. This conversion factor is derived from the density of water, which remains fairly constant. By multiplying the number of gallons you have by this factor (8.34), you can easily find out how much the water weighs in pounds.
For example, if you have a 25-gallon container full of water, the conversion to pounds would be calculated like this:
  • Multiply the volume in gallons by the conversion factor: 25 gallons × 8.34 pounds/gallon.
  • This gives a total weight of 208.5 pounds.
The accuracy of such a conversion is important in many practical applications to ensure proper measurements and balance are achieved.
Aquarium Water Weight Calculation
Calculating the weight of water in an aquarium is particularly useful for hobbyists who want to ensure a stable environment for aquatic life. Properly estimating the weight is also critical for determining where to place the aquarium, as furniture and floors often have weight limits. To calculate this, one would begin by knowing the total volume of the aquarium, usually specified in gallons.
Using the conversion factor of 8.34 pounds per gallon, multiply the volume of the aquarium by this number to find out how much the water will weigh. For instance:
  • A 25-gallon aquarium calculation would proceed as follows: 25 gallons × 8.34 pounds/gallon = 208.5 pounds.
It's important to consider that the total weight of the aquarium will include not only the water’s weight but also the weight of the tank itself and any additional items, such as rocks or decorations. Making these calculations beforehand helps prevent overburdening the structures supporting your aquarium.

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