Sure, here's a step-by-step procedure on how to work out the molar mass of a compound:
Step 1: Identify the elements present in the compound. In this case, the formula of the compound is MO2, where M represents an unknown element.
Step 2: Determine the molar mass of each element in the periodic table. You can find the molar mass of elements on the periodic table or by using online resources. For example, the molar mass of oxygen (O) is approximately 16 grams per mole.
Step 3: Assign a variable, such as x, to represent the molar mass of the unknown element M.
Step 4: Use the given weight percent of oxygen (15.2%) to set up an equation. The weight percent is calculated by dividing the mass of oxygen by the total mass of the compound (oxygen + unknown element) and multiplying by 100%.
So, the equation can be written as:
(16 grams per mole)/(16 grams per mole + x grams per mole) = 0.152
Step 5: Solve the equation for x. You can do this by cross-multiplying or by using algebraic manipulation.
In this case, cross-multiplying the equation gives:
(16 grams per mole) * (1 - 0.152) = x grams per mole
Step 6: Evaluate the right side of the equation to find the value of x. In this case, calculate (1 - 0.152) to get 0.848.
So, x = (16 grams per mole) * 0.848 = 13.568 grams per mole.
Step 7: Finally, determine the molar mass of the compound by adding up the molar masses of each element. In this case, you add the molar mass of oxygen (16 grams per mole) multiplied by 2, and the molar mass of the unknown element (13.568 grams per mole).
Molar mass of MO2 = (16 grams per mole * 2) + 13.568 grams per mole
Therefore, the molar mass of the compound MO2 is approximately 45.568 grams per mole.
I apologize for the previous incorrect information and confusion. I hope this step-by-step procedure clarifies the calculation process for finding the molar mass. Let me know if you have any further questions!