Using two point form
y-5/-4-5=x-10/13-10
rearrange to get 3x+y-35=0
The technique of matrix isolation involves condensing the substance to be studied with a large excess of inert gas (usually argon or nitrogen) at low temperature to form a rigid solid (the matrix). The early development of matrix isolation spectroscopy was directed primarily to the study of unstable molecules and free radicals. The ability to stabilise reactive species by trapping them in a rigid cage, thus inhibiting intermolecular interaction, is an important feature of matrix isolation. The low temperatures (typically 4-20K) also prevent the occurrence of any process with an activation energy of more than a few kJ mol-1. Apart from the stabilisation of reactive species, matrix isolation affords a number of advantages over more conventional spectroscopic techniques. The isolation of monomelic solute molecules in an inert environment reduces intermolecular interactions, resulting in a sharpening of the solute absorption compared with other condensed phases. The effect is, of course, particularly dramatic for substances that engage in hydrogen bonding. Although the technique was developed to inhibit intermolecular interactions, it has also proved of great value in studying these interactions in molecular complexes formed in matrices at higher concentrations than those required for true isolation.
Solution
For this case we have the following amount: 35 pints
We want to convert this into quarts so we can do this:
Then the answer rounded to the nearest hundredth is:
17.50 quarts
Answer:
x = 11
y = 2
n = 4
Step-by-step explanation:
Three equations
Look for x
Look for y
Look for n
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Note that all of these are questions can be answered through isolating the variable.
Let's start with x :
Get x alone :
2(x + 5) = 3x + 1
Distribute :
(2(x) + 2(5))
2x + 10 = 3x - 1
Add 1 to both sides of the equation :
2x + 11 = 3x
Subtract 2x from both sides :
11 = x
x = 11
Next is y :
Isolate y :
3y - 4 = 6 - 2y
Add 4 to both sides :
3y = 10 - 2y
Add 2y to both sides :
5y = 10
Divide 5 from both sides to get y by itself :
y = 2
Lastly is n :
Isolate n :
3(n + 2) = 9(6 - n)
Distribute :
(3(n) + 3(2)) = (9(6) - 9(n))
3n + 6 = 54 - 9n
Subtract 54 from both sides :
3n - 48 = -9n
Subtract 3n from both sides :
-48 = -12n
-12n = -48
Divide -12 from both sides :
n = 4
