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Question 2 A researcher combines three liquid samples with the volumes listed below. How much total liquid in liters does the researcher have? Include your calculations in your answer. Sample \( 1: 250 \mathrm{~mL} \) Sample \( 2: 1.4 \mathrm{~L} \) Sample \( 3: 30.00 \) fluid ounces B B

Ask by Gough Riley. in the United States
Jan 26,2025

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Answer

The researcher has a total of approximately 2.54 liters of liquid.

Solution

To determine the total volume of liquid the researcher has in liters, we'll convert each sample's volume to liters and then sum them up. ### Given: - **Sample 1:** 250 mL - **Sample 2:** 1.4 L - **Sample 3:** 30.00 fluid ounces (fl oz) ### Conversion Factors: 1. **Milliliters to Liters:** \( 1\, \text{L} = 1000\, \text{mL} \) 2. **Fluid Ounces to Liters:** \( 1\, \text{fl oz} \approx 0.0295735\, \text{L} \) (using US fluid ounces) ### Step-by-Step Calculations: 1. **Convert Sample 1 from milliliters to liters:** \[ 250\, \text{mL} \times \left( \frac{1\, \text{L}}{1000\, \text{mL}} \right) = 0.25\, \text{L} \] 2. **Sample 2 is already in liters:** \[ 1.4\, \text{L} \] 3. **Convert Sample 3 from fluid ounces to liters:** \[ 30.00\, \text{fl oz} \times 0.0295735\, \text{L/fl oz} = 0.887205\, \text{L} \] 4. **Calculate the total volume:** \[ \text{Total Volume} = 0.25\, \text{L} + 1.4\, \text{L} + 0.887205\, \text{L} = 2.537205\, \text{L} \] ### Final Answer: The researcher has a **total of approximately 2.54 liters** of liquid.

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To find the total volume of liquid in liters, we first need to convert all the measurements to liters. - Sample 1: \( 250 \, \text{mL} = \frac{250}{1000} = 0.25 \, \text{L} \) - Sample 2: This is already in liters: \( 1.4 \, \text{L} \) - Sample 3: To convert fluid ounces to liters, we use the conversion factor \( 1 \, \text{fl oz} \approx 0.0295735 \, \text{L} \). Thus, \( 30.00 \, \text{fl oz} = 30.00 \times 0.0295735 \approx 0.887 \, \text{L} \) Now, we add them together: \( 0.25 \, \text{L} + 1.4 \, \text{L} + 0.887 \, \text{L} = 2.537 \, \text{L} \) So, the researcher has approximately \( 2.54 \, \text{L} \) of liquid in total. Did you know that throughout history, the measurement of liquids has been crucial? Ancient civilizations used different methods for measuring volume, and it was the Egyptians who devised a system with marked containers. Those markings laid down some of the earliest foundations for measuring liquids, linking history with our modern-day practices. If you're interested in the science behind volume conversion, there are numerous resources to dive into! Websites like Khan Academy and educational platforms focus on practical applications of measurement conversions, where you can find interactive exercises and tips to solidify your learning. Plus, they'll keep you engaged with a mix of fun trivia and challenges!

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