Write 165 ppm as ppb, %o and 90. Write 5.25% as g/kg and mg/kg. Indicate which ofthe following ratios are %, %0, ppm, or ppb(t=metric tonne): µg/g g/100g Convert the following to ppm (by mass) assuming water has pwater 1.0 kg/L and air pair 1.2 g/L g/t kg/t ug/kg mg/kg 4. 1.5 g/liter water 0.120 g/liter air
The Correct Answer and Explanation is :
Let’s go step by step through each part of the question and explain how to convert between the different units and ratios.
Conversion of 165 ppm:
- From ppm to ppb:
1 ppm is equal to 1000 ppb. So to convert 165 ppm to ppb:
[
165 \, \text{ppm} = 165 \times 1000 = 165,000 \, \text{ppb}
] - From ppm to %o (per thousand):
1 ppm is equivalent to 0.1%o (per thousand). So to convert 165 ppm to %o:
[
165 \, \text{ppm} = 165 \times 0.1 = 16.5 \, \text{%o}
] - From ppm to % (percentage):
1 ppm is equal to 0.0001%. So to convert 165 ppm to %:
[
165 \, \text{ppm} = 165 \times 0.0001 = 0.0165 \, \%
]
Conversion of 5.25%:
- From % to g/kg (grams per kilogram):
1% is equal to 10 g/100g or 10 g per 100 grams, which is the same as 10 g per 100 grams. Since 1 kilogram is 1000 grams, we multiply 5.25% by 10:
[
5.25\% = 5.25 \times 10 = 52.5 \, \text{g/kg}
] - From % to mg/kg (milligrams per kilogram):
1% is equal to 10,000 mg/100g or 10,000 mg per 100 grams. In terms of kilograms:
[
5.25\% = 5.25 \times 10,000 = 52,500 \, \text{mg/kg}
]
Analyzing the ratios:
- µg/g: This is a ratio of micrograms per gram, which is typically equivalent to ppm.
- g/100g: This is a ratio of grams per 100 grams, which can be expressed as a percentage (%).
- g/t: This represents grams per metric tonne, which is also a form of ppm since 1 metric tonne equals 1 million grams.
- kg/t: This represents kilograms per metric tonne, which is also a form of ppm.
- ug/kg: This represents micrograms per kilogram, which is similar to ppm but on a smaller scale.
- mg/kg: This represents milligrams per kilogram, which is often used in ppm terms.
Converting the given concentrations:
- 1.5 g/liter of water:
Since the density of water is 1 kg/L, 1.5 g/L can be considered as 1.5 ppm. - 0.120 g/liter of air:
The density of air is 1.2 g/L, so we need to convert this value based on air density. To convert grams per liter into ppm:
[
\text{ppm} = \frac{0.120 \, \text{g/L}}{1.2 \, \text{g/L}} \times 1,000,000 = 100,000 \, \text{ppm}
]
Final Results:
- 165 ppm = 165,000 ppb, 16.5 %o, 0.0165 %
- 5.25% = 52.5 g/kg, 52,500 mg/kg
- µg/g = ppm, g/100g = %, g/t = ppm, kg/t = ppm, ug/kg = ppm, mg/kg = ppm
- 1.5 g/liter water = 1.5 ppm, 0.120 g/liter air = 100,000 ppm
Let me now generate an image to visually represent these conversions for you.
Here is the infographic that visually represents the conversions between the different concentration units. You can see how 165 ppm is converted to ppb, %o, and % and how 5.25% is converted to g/kg and mg/kg. It also shows the relationship between different ratios and how to convert them.