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Taking into account the definition of molarity, the concentration of CH₃OH in the solution is 3.12 .
<h3>Definition of molarity</h3>
Molar concentration or molarity is a measure of the concentration of a solute in a solution and indicates the number of moles of solute that are dissolved in a given volume.
The molarity of a solution is calculated by dividing the moles of solute by the volume of the solution:
Molarity is expressed in units .
<h3>Concentration of CH₃OH</h3>
In this case, you know:
- number of moles= 50 g× = 1.56 moles, being 32.04 the molar mass of CH₃OH
- volume= 500 mL= 0.5 L (being 1000 mL= 1 L)
Replacing in the definition of molarity:
Solving:
<u><em>Molarity= 3.12 </em></u>
Finally, the concentration of CH₃OH in the solution is 3.12 .
Learn more about molarity:
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The system of inequalities that represents the given criteria are 3x² > y and y² + 6 > x.
<h3>How to solve Algebra Word Problems?</h3>
Let the first number be x and the second number be y.
We are told that three times the square of a number is greater than a second number. Thus; 3x² > y
Now, The square of the second number increased by 6 is greater than the first number. Thus;
y² + 6 > x
Thus, the system of inequalities that represents the given criteria are 3x² > y and y² + 6 > x.
where;
x is first number and y is second number.
Read more about Algebra word problems at; brainly.com/question/18800270
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Answer:
Answer:
I. The hollow sphere has the greater angular momentum.
Explanation:
Given that the mass and radius of hollow sphere and solid sphere are same. Let the mass and radius of two spheres be m and r respectively. The two spheres are rotating having same angular velocity ω .
Moment of inertia of solid sphere, I₁ =
Moment of inertia of hollow sphere, I₂ =
Since, I₁ and I₂ are not equal. Therefore, the statement iv is wrong.
The relation between angular momentum, moment of inertia and angular velocity is :
L = Iω
Let L₁ and L₂ be the angular momentum of solid sphere and hollow sphere respectively.
L₁ = I₁ω and L₂ = I₂ω
As ω is same for both spheres but I₂ is greater than I₁, hence L₂ is greater than L₁.
Therefore, statement I is correct that the hollow sphere has the greater angular momentum.
Explanation: