Answer:
1) 2.8×10^14 Hz
2) 2.88×10^21 photons
Explanation:
Recall that the formula for the speed of a wave is v=λf, since we are talking about light, we can replace v with c hence; c=λf. Where;
c= speed of light = 3 ×10^8 m/s
λ= wavelength of light= 1064nm= 1064×10^-9 m
f= frequency of light= the unknown
Hence;
f= c/λ= 3×10^8/1064×10^-9
f= 2.8×10^14 Hz
Energy of a single photon=hf= 6.626×10^-34 Js × 2.8×10^14 s^-1 = 18.55×10^-20J
If 1 photon contains 18.55×10^-20J of energy
x photons contains 535 J of energy
x= 535/18.55×10^-20J
x= 2.88×10^21 photons
Answer:
3 Fe (s) + 4 H2O (l) -----> Fe3O4 (s) + 4 H2 (g)
Explanation:
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The balanced equation is
3 Fe (s) + 4 H2O (l) -----> Fe3O4 (s) + 4 H2 (g)
Explanation: In order to balance an equation we must ensure that the number of atoms of each species on right side of the arrow must be equal to the number of atoms of each species on left side of the arrow.
Answer:
How to determine the mole of LiOH required to react with 20 moles of CO₂ per day
CO₂ + 2LiOH —> Li₂CO₃ + H₂O
From the balanced equation above,
1 mole of CO₂ required 2 moles of LiOH.
Therefore,
20 moles of CO₂ will require = 20 × 2 = 40 moles of LiOH
How to determine the mole of LiOH required by two astronauts for 3 days
Mole of LiOH for 1 person per day = 40 moles
Mole of LiOH for 2 persons per day = 2 × 40 = 80 moles
Mole of LiOH for 2 persons for 3 days = 80 × 3 = 240 moles
Explanation:
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Answer:
The Ka is 9.11 *10^-8
Explanation:
<u>Step 1: </u>Data given
Moles of HX = 0.365
Volume of the solution = 835.0 mL = 0.835 L
pH of the solution = 3.70
<u>Step 2:</u> Calculate molarity of HX
Molarity HX = moles HX / volume solution
Molarity HX = 0.365 mol / 0.835 L
Molarity HX = 0.437 M
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<u>Step 3:</u> ICE-chart
[H+] = [H3O+] = 10^-3.70 = 1.995 *10^-4
Initial concentration of HX = 0.437 M
Initial concentration of X- and H3O+ = 0M
Since the mole ratio is 1:1; there will react x M
The concentration at the equilibrium is:
[HX] = (0.437 - x)M
[X-] = x M
[H3O+] = 1.995*10^-4 M
Since 0+x = 1.995*10^-4 ⇒ x=1.995*10^-4
[HX] = 0.437 - 1.995*10^-4 ≈ 0.437 M
[X-] = x = 1.995*10^-4 M
<u>Step 4: </u>Calculate Ka
Ka = [X-]*[H3O+] / [HX]
Ka = ((1.995*10^-4)²)/ 0.437
Ka = 9.11 *10^-8
The Ka is 9.11 *10^-8
The resistance of the appliance is 64.1 Ω.
<u>Explanation:</u>
As per the Ohm's law, which states that the electric current is in direct proportion to the voltage and is in inverse proportion to the resistance. It is given by the expression as,
V = IR
Where V is the voltage (V) = 150.0 V
I is the current (amps) = 2.34 amps
R is the resistance (ohm) or Ω = ?
Now we have to rearrange the equation to get the resistance as,

Now we have to plug in the values as,

= 64.1 Ω
So the resistance of the appliance is 64.1 Ω.