Gravity is an example of the force of attraction between two objects that have mass.
The formula for the force (<em>F</em>) of gravitational attraction is
<em>F</em> =<em>GMm</em>/(<em>d</em>^2)
where
<em>M</em> and <em>m</em> are the masses of the two objects
<em>d</em> is the distance between the two objects
<em>G</em> is a constant called the <em>gravitational constant
</em>
<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>
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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
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</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>
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</span><span>
</span><span>xii) 2,1,-1,-1/2 valid meet the four rules</span>
Answer:
The molar mass of the acid is 167.5 g/mol
Explanation:
A 0.4021-g sample of a purified organic acid was dissolved in water and titrated potentiometrically. A plot of the data revealed a single end point after 19.31 mL of 0.1243 M NaOH had been introduced. Calculate the molecular mass of the acid.
Step 1: Data given
Mass of the sample of a purified organic acid = 0.4021 grams
Molarity = 0.1243 M
Volume needed to reach the end point = 19.1 mL = 0.01931 L
Step 2: Calculate the number of moles NaOH
Moles NaOH = molarity NaOH * volume
Moles NaOH = 0.1243 M * 0.01931 L
Moles NaOH = 0.00240 moles
Step 3: Calculate moles of the acid
We'll need 0.00240 moles of acid to neutralize 0.00240 moles of NaOH ( it's a single end point)
Moles acid = 0.00240 moles
Step 4: Calculate molar mass of the acid
Molar mass = mass / moles
Molar mass = 0.4021 grams / 0.00240 moles
Molar mass = 167.5 g/mol
The molar mass of the acid is 167.5 g/mol
Answer:
0.9483 grams of manganese dioxide should be added to excess HCl.
Explanation:
Pressure of the chlorine gas = P = 795 Torr = 1.046 atm (1 atm = 760 Torr)
Volume of the chlorine gas = V = 255 ml = 0.255 L
Temperature of the chlorine gas = T = 25°C= 298.15 K
Moles of chlorine gas = n
Using ideal gas equation:
PV = nRT

n = 0.01090 mol

According to reaction , 1 mole of chlorine gas is obtained from 1 mole of manganese dioxide.
Then 0.01090 moles of chlorine gas will be obtained from:
manganese dioxide
Mass of 0.01090 moles of manganese dioxide:
0.01090 mol × 87 g/mol = 0.9483 g
Answer: A. are relatively far apart
Explanation:
Compressbility is the ability of compound to reduce in size when pressure is applied.
Gaseous state is a state in which the particles are loosely arranged and have a lot of space between them. Thus molecules can be easily compressed.
They have highest kinetic energy. This state has indefinite volume as well as shape. The molecules in the gaseous state move faster with an increase in temperature as the kinetic energy increases with increase in temperature.
Thus most gases are easily compressed is that the molecules in a gas are in constant motion are relatively far apart.