This mg ml to molarity calculator helps convert the concentration of a solution expressed in milligrams per milliliter (mg/ml) to molarity (M).
Molarity is a common unit of concentration in chemistry, defined as the number of moles of solute per liter of solution.
The conversion between mg/ml and molarity is crucial because different scientific applications and protocols may use different units of concentration.
To convert mg/ml to molarity (M), you need to know the molecular weight (MW) of the protein in g/mol. The formula is as follows:
Molarity (M) = (Concentration in mg/ml) / (Molecular Weight in g/mol) × 1000
- Identify the protein’s concentration in mg/ml.
- Find the molecular weight of the protein (usually provided in g/mol).
- Apply the formula to calculate the molarity.
Take an example, if you have a protein concentration of 50 mg/ml and the molecular weight is 50,000 g/mol (or 50 kDa):
Molarity (M) = (50 mg/ml) / (50,000 g/mol) × 1000 = 1 mM
Mg Ml to Molarity Calculator
| Concentration (mg/ml) | Molecular Weight (g/mol) | Molarity (M) |
|---|---|---|
| 1 | 18.015 | 0.0555 |
| 1 | 58.44 | 0.0171 |
| 1 | 74.55 | 0.0134 |
| 1 | 98.08 | 0.0102 |
| 1 | 100.09 | 0.00998 |
| 5 | 18.015 | 0.2775 |
| 5 | 58.44 | 0.0853 |
| 5 | 74.55 | 0.0670 |
| 5 | 98.08 | 0.0510 |
| 5 | 100.09 | 0.0499 |
| 10 | 18.015 | 0.555 |
| 10 | 58.44 | 0.171 |
| 10 | 74.55 | 0.134 |
| 10 | 98.08 | 0.102 |
| 10 | 100.09 | 0.0998 |
| 50 | 18.015 | 2.775 |
| 50 | 58.44 | 0.853 |
| 50 | 74.55 | 0.670 |
| 50 | 98.08 | 0.510 |
| 50 | 100.09 | 0.499 |
| 100 | 18.015 | 5.55 |
| 100 | 58.44 | 1.71 |
| 100 | 74.55 | 1.34 |
| 100 | 98.08 | 1.02 |
| 100 | 100.09 | 0.998 |
mg/ml to Molarity Calculation Formula
The formula to convert mg/ml to molarity is:
Molarity (M) = (Concentration in mg/ml) / (Molar mass of the solute in g/mol)
To use this formula, you need to know:
- The concentration of the solution in mg/ml
- The molar mass of the solute in g/mol
This formula assumes the density of the solution is approximately 1 g/ml, which is often a reasonable assumption for dilute aqueous solutions.
More Calculator:
How do you convert micrograms per ml to molarity?
Converting micrograms per ml (μg/ml) to molarity involves an additional step because we need to convert micrograms to milligrams first.
Here’s the process:
- Convert μg/ml to mg/ml by dividing by 1000 (since 1 mg = 1000 μg)
- Use the mg/ml to molarity formula
The formula becomes:
Molarity (M) = (Concentration in μg/ml / 1000) / (Molar mass of the solute in g/mol)
How do you convert mg/L to molar?
Converting mg/L to molar is similar to converting mg/ml to molarity. In fact, mg/L is equivalent to mg/ml because 1 liter of water has a mass of approximately 1000 grams.
The formula remains the same:
Molarity (M) = (Concentration in mg/L) / (Molar mass of the solute in g/mol)
How do you convert g/mL to molarity?
To convert g/mL to molarity, we need to convert grams to milligrams first.
The process is as follows:
- Convert g/mL to mg/mL by multiplying by 1000 (since 1 g = 1000 mg)
- Use the mg/ml to molarity formula
The formula becomes:
Molarity (M) = (Concentration in g/mL * 1000) / (Molar mass of the solute in g/mol)
How do you convert mL to molar concentration?
To find the molar concentration, you need additional information:
- The mass of the solute dissolved in the solution
- The total volume of the solution in liters
- The molar mass of the solute
Once you have this information, you can calculate the molarity using the following steps:
- Calculate the number of moles of solute: moles = mass of solute (g) / molar mass (g/mol)
- Convert the volume from mL to L: volume in L = volume in mL / 1000
- Calculate molarity: Molarity (M) = moles of solute / volume of solution (L)
What is 1 mg per ml in molarity?
Let’s consider an example using sodium chloride (NaCl), which has a molar mass of 58.44 g/mol.
Using the formula:
Molarity (M) = (Concentration in mg/ml) / (Molar mass of the solute in g/mol)
Molarity = 1 mg/ml / 58.44 g/mol
Molarity ≈ 0.0171 M
For NaCl, 1 mg/ml is approximately 0.0171 M. Remember that this value will be different for substances with different molar masses.
What is 100 mg/ml to molarity?
To convert 100 mg/ml to molarity, we’ll use the sodium chloride (NaCl) as an example.
Molarity (M) = (Concentration in mg/ml) / (Molar mass of the solute in g/mol)
Molarity = 100 mg/ml / 58.44 g/mol
Molarity ≈ 1.71 M
For NaCl, 100 mg/ml is approximately 1.71 M. Again, this value will differ for substances with different molar masses.
What is 1% concentration in mg/ml?
A 1% concentration means 1 gram of solute per 100 mL of solution. To convert this to mg/ml:
1 g / 100 mL = 1000 mg / 100 mL = 10 mg/mL
A 1% concentration is equivalent to 10 mg/ml.
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