How would you convert 22.4 kg/L to kg/mL?
The correct answer and explanation is:
To convert 22.4 kg/L to kg/mL, follow these steps:
- Understand the relationship between liters and milliliters:
1 liter (L) is equivalent to 1000 milliliters (mL), which is 1 liter = 1000 mL. - Convert kg/L to kg/mL:
To convert from kg/L to kg/mL, divide the value by 1000 because 1 liter equals 1000 milliliters. This means: 22.4 kg/L=22.4 kg1000 mL=0.0224 kg/mL22.4 \, \text{kg/L} = \frac{22.4 \, \text{kg}}{1000 \, \text{mL}} = 0.0224 \, \text{kg/mL} - Result:
Therefore, 22.4 kg/L equals 0.0224 kg/mL.
Explanation:
In metric conversions, the factor between liters and milliliters plays a key role. A liter is 1000 times larger than a milliliter. When converting between units of volume, it is important to understand that the conversion factor will apply in a multiplicative manner for units of volume like liters and milliliters. In this case, 1000 milliliters make up one liter, so dividing by 1000 shifts the decimal place three positions to the left, thus converting from kilograms per liter to kilograms per milliliter.
This type of conversion is typical in contexts where precision in small measurements is necessary, such as in chemical calculations, liquid density studies, or when working with high precision equipment in labs. Conversions like these are straightforward, but careful attention to the factor (1000) is essential to avoid errors.