Convert 11.34 g/mL to kg/L
The correct answer and explanation is:
To convert 11.34 g/mL to kg/L, you need to understand the relationship between grams, milliliters, kilograms, and liters.
- Understanding the Units:
- 1 g = 0.001 kg
- 1 mL = 0.001 L
- Conversion Steps:
- First, convert grams to kilograms. Since 1 g is equal to 0.001 kg, multiply 11.34 g by 0.001: 11.34 g×0.001=0.01134 kg11.34 \, \text{g} \times 0.001 = 0.01134 \, \text{kg}
- Next, convert milliliters to liters. Since 1 mL is equal to 0.001 L, divide 11.34 mL by 1000 to get: 11.34 mL÷1000=0.01134 L11.34 \, \text{mL} \div 1000 = 0.01134 \, \text{L}
- Final Conversion:
The original value of 11.34 g/mL becomes: 11.34 g1 mL=0.01134 kg0.01134 L=1 kg/L\frac{11.34 \, \text{g}}{1 \, \text{mL}} = \frac{0.01134 \, \text{kg}}{0.01134 \, \text{L}} = 1 \, \text{kg/L}
So, 11.34 g/mL is equal to 1 kg/L.
Explanation:
This conversion process involves adjusting the units from grams per milliliter to kilograms per liter. The relationship between grams and kilograms is based on a factor of 1000, as 1 kilogram is 1000 grams. Similarly, the conversion between milliliters and liters involves dividing by 1000 since there are 1000 milliliters in 1 liter. By performing both conversions, we see that the density of 11.34 g/mL is the same as 1 kg/L because the numerical values in both the numerator and denominator remain unchanged after the conversions. This highlights the consistency between these two units when dealing with density in metric systems.