Answer:
x = 1, -7.5
Explanation:
2x² + 13x = 15
Divide the left side of the equation by 2
2(x² + 6.5x) = 15
Divide 6.5 by 2 and square the quotient
6.5/2 = 3.25
3.25² = 10.5625
Add 10.5625 to the left side
2(x² + 6.5x + 10.5625) = 15
Since you have a 2 outside the parentheses, you will be adding 10.5625•2 to the right side.
10.5625 • 2 = 21.125
2(x² + 6.5x + 10.5625) = 36.125
To factor (x² + 6.5x + 10.5625), add b/2 to x
b/2 = 6.5/2 = 3.25
2(x + 3.25)² = 36.125
Divide by 2
(x + 3.25)² = 18.0625
Square root.
(x + 3.25) = √18.0625
x + 3.25 = ±4.25
Subtract 3.25.
x = 4.25 - 3.25 = 1
x = -4.25 - 3.25 = -7.5
x = 1, -7.5
Answer:
Whenever the two groups on each end of a carbon-carbon double bond are the same, two diastereomers are possible.
Explanation:
Double bonds are formed when four electrons are shared between two carbon atoms. The second bond is generally known as a pi-bond while the first bond is called a sigma bond.
The presence of a double bond in a compound leads to restricted rotation about the carbon-carbon double bond. Hence the substituents are 'locked' in a particular configuration.
The more substituted a double bond is, the more stable it is according to Saytzeff's Rule.
Due to steric effects, trans alkenes are generally more thermodynamically stable than cis alkenes since trans alkenes have bulky groups oriented apart from each other.
All these are true statements. The answer selected must be the untrue statement.
gas- less particles move fast and freely, not contained
liquid- particles move a bit slower, more particles
solid- particles barely move, many particles in a confined space
<span>These are the rules of the quantum numbers that you have to use to dilucidate the validity of a set of quantum numbers:
</span><span />
<span>1) Main quantum number, n: 1, 2, 3, 4, 5, 6, 7
</span>
<span /><span /><span>
2) Second quantum number, ℓ: 0, 1, 2, ... n-1
</span><span />
<span>3) Third quantum number (magnetic quantum number), mℓ: -l,...0,,,,+l
</span><span />
<span>4) Fourth quantum number (spin): ms: +1/2 or -1/2
</span>
<span /><span /><span />
Answers:
<span>i) 3,2,0,1/2: valid, because 0<= l < n; - l <= ml <= +l; and ms = +1/2 or -1/2
</span>
<span /><span /><span>
</span><span>ii) 2,2,-1, 1/2 invalid because l = n (violates second rule)</span><span /><span>
</span><span>
</span><span>iii) 4,3,-4,1/2 invalid because ml is less than - l (violates third rule)</span><span /><span>
</span><span>
</span><span>iv) 1,0,0,1/2 valid: meet the four rules</span><span /><span>
</span><span>
</span><span>v) 2,2,1,-1/2 invalid because l = n (violate the second rule)</span><span /><span>
</span><span>
</span><span>vi) 3,2,1,1 invalid because ms can be only +1/2 or -1/2 (fourth rule)
</span>
<span /><span /><span>vii) 0,1,1,-1/2 invalid because l > n (violates rule 2)
</span>
<span /><span /><span>viii) 3,3,1,1/2 invalid because l = n (violate rule 2)
</span>
<span /><span /><span>ix) 2,-2,-2,-1/2 invalid because l is negative (violates rule 2)
</span>
x)<span> 3,2,2,1/2 valid: meet the four rules</span>
xi)<span> 4,2,1,1/2 valid: meet the four rules</span>
<span /><span>
</span><span>
</span><span>xii) 2,1,-1,-1/2 valid meet the four rules</span>
Answer:
There are
17.01
Explanation:
The chemical formula for calcium phosphate is
Ca
3
(PO
4
)
2
. This means that in one mole of calcium phosphate, there are three calcium ions and two phosphate ions.