The mass of the acetic acid is 1.512 g.
<h3 /><h3>What is Molarity?</h3>
molarity is the concentration of a substance in mol per dm³
From the question,
The number of moles contained in the 30 mL vinegar is
- n = (0.84×30)/1000
- n = 0.0252 mol.
the molar mass of vinegar is calculated below.
- m.m of (HC₂H₃O₂) = [1+(12×2)+(1×3)+(16×2)]
- m.m = (1+24+3+32]
- m.m = 60 g/mol.
To calculate the mass of acetic acid, we use the formula below.
- R.m = n×m.m............. Equation 1
Where
- R.m = mass of acetic acid.
Substitute these values into equation 1
- R.m = (0.0252×60)
- R.m = 1.512 g.
Hence, The mass of the acetic acid is 1.512 g.
Learn more about molarity here: brainly.com/question/20383725
Inequalities are used to represent unequal expressions.
The solution set to
is: ![[\mathbf{\frac{7}{16}, \infty)}](https://tex.z-dn.net/?f=%5B%5Cmathbf%7B%5Cfrac%7B7%7D%7B16%7D%2C%20%5Cinfty%29%7D)
The inequality is given as:
![\mathbf{x \ge \frac{7}{16}}](https://tex.z-dn.net/?f=%5Cmathbf%7Bx%20%5Cge%20%5Cfrac%7B7%7D%7B16%7D%7D)
From the inequality above, we have the following observation.
- The value of variable x starts from 7/16 (inclusive)
- The value of variable x has no end (i.e. infinity)
Because, 7/16 is inclusive of the values of x, we make use of the open square bracket i.e. [
We treat
, as an exclusive value. So, we make use of the close parenthesis i.e. )
Hence, the solution set is: ![[\mathbf{\frac{7}{16}, \infty)}](https://tex.z-dn.net/?f=%5B%5Cmathbf%7B%5Cfrac%7B7%7D%7B16%7D%2C%20%5Cinfty%29%7D)
Read more about inequalities at:
brainly.com/question/20382422
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B. Where did you finally find your missing book ?
The exercise is related to the Ratio Test for Convergence. The rules for this kind of test are given below.
<h3>What are the rules for Ratio Test for Convergence?</h3>
The rules are:
- If the limit is less than 1 when conducting the ratio test, your series is definitely convergent.
- The test is inconclusive if the limit is equal to 1.
- The series is divergent if the limit is greater than 1.
Using this knowledge, we are able to state that
- A is not conclusive.
- C's convergence is absolute.
- There is divergence with D and E.
- B and F appear to be employing the nth-term test. The nth-term involves determining the sequence's limit as it approaches infinity.
The nth-term test determines whether a series is divergent if the limit is bigger than 0, thus, both B and F are divergent series.
Please see the attached for the full question and the link below for more about Ratio Test for Convergence:
brainly.com/question/16618162