In the formula $q=\frac{m}{M H}$, where $q$ is the amount of substance, $m$ is mass, and MH is molar mass, how would you solve for molar mass $M H$?
A. $M H=\frac{q}{m}$
B. $M H=m q$
C. $M H=\frac{m}{q}$
D. $M H=m-q
Answer (2)
Start with the formula: q = M H m .
Multiply both sides by M H : q × M H = m .
Divide both sides by q : M H = q m .
The solution for molar mass is: M H = q m .
Explanation
Understanding the Problem We are given the formula q = M H m , where q is the amount of substance, m is mass, and M H is molar mass. Our goal is to isolate M H on one side of the equation.
Multiplying Both Sides by MH To solve for M H , we can start by multiplying both sides of the equation by M H to get rid of the fraction: q × M H = M H m × M H q × M H = m
Dividing Both Sides by q Next, we want to isolate M H , so we divide both sides of the equation by q :
q q × M H = q m M H = q m
Final Answer Therefore, the molar mass M H is equal to q m . Comparing this to the given options, we see that option c matches our result.
Examples
In chemistry, if you know the mass of a substance and the amount of substance (in moles), you can calculate the molar mass using the formula we just rearranged. For example, if you have 100 grams of a substance and you know it's 2 moles, the molar mass would be 2 moles 100 grams = 50 grams/mole . This is crucial for identifying substances and understanding chemical reactions.
The molar mass M H can be calculated from the formula q = M H m by rearranging it to M H = q m . The correct answer from the provided options is C. This formula is essential in chemistry for understanding how mass and the amount of substance relate to each other.
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