In the case of a small amount of your unknown failed to dissolve in the t-butanol, would it effect the molar mass?
= Does molarity increase as molar mass increases?
For the same mass, molarity decreases with increasing molar mass.
For example, suppose we weigh out 100 g. For a substance with a molar mass of 50 there are 2 mols. For a substance with a molar mass of 100 that is 1 mol. M = mol/L, therefore, the molar mass of 100 material is 1M while the other one is 2 M when each is dissolved in 1 L of solution.
So in this case, that a small amount of your unknown failed to dissolve in the t-butanol, it would effect the molar mass, just depending on the mass of both substances?
In the case of a small amount of an unknown substance failing to dissolve in t-butanol, it would not directly affect the molar mass of the substance. The molar mass of a substance is a physical property that represents the mass of one mole of that substance. It is determined by summing the atomic masses of all the elements in its chemical formula.
Dissolving or not dissolving in t-butanol does not change the overall composition or formula of the substance. It simply indicates that the substance has a low solubility in t-butanol. Solubility is determined by a variety of factors such as the nature of the substance and the solvent being used.
Now, regarding your second question, molarity and molar mass are related but not directly proportional. Molarity is a measure of the concentration of a solution and is defined as the number of moles of solute per liter of solution. Molar mass, on the other hand, is the mass of one mole of a substance.
While it is true that in a given volume, a higher molar mass substance would result in a higher mass of solute, it doesn't necessarily mean the molarity would increase. Molarity depends on the amount of solute (moles) in a given volume of solution (liters), regardless of the molar mass of the solute.
To calculate molarity, you would need to know the number of moles of solute and the volume of solution. The molar mass of the solute is used to convert between grams and moles, but it does not directly affect the molarity.