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NeX [460]
3 years ago
15

Consider an electron placed in a region of space in which the electric potential spatially. The electron is placed at a point wh

ere the potential is -1000V relative to ground, and it is observed to accelerate to a point where the potential is -500V relative to ground. How fast is the electron moving at that point, assuming nothing else impacts the electron's motion
Chemistry
1 answer:
loris [4]3 years ago
5 0

Answer:

1.33\cdot 10^7 m/s

Explanation:

For a charged particle accelerated by an electric field, the kinetic energy gained by the particle is equal to the decrease in electric potential energy of the particle; therefore:

K_f-K_i = -q\Delta V

where

K_f is the final kinetic energy

K_i is the initial kinetic energy

q is the charge of the particle

\Delta V is the potential difference

In this problem,

q=-1.6\cdot 10^{-19}C is the charge of the electron

\Delta V=-500 V-(-1000 V)=500 V

The electron starts from rest, so its initial kinetic energy is

K_i=0

Therefore,

K_f=-(-1.6\cdot 10^{-19})(500)=8\cdot 10^{-17}J

We can write the final kinetic energy of the electron as

K_f=\frac{1}{2}mv^2

where

m=9.11\cdot 10^{-31} kg is the electron mass

v is the final speed

And solving for v,

v=\sqrt{\frac{2K_f}{m}}=\sqrt{\frac{2(8\cdot 10^{-17})}{9.11\cdot 10^{-31}}}=1.33\cdot 10^7 m/s

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Tpy6a [65]
Q=m(c∆t +heat of fusion + heat of evaporation)

m= 44g
c= 4.186 J/g.C
∆t= 107-(-8) =115 C
heat of fusion= 333.55 J/g
heat of evaporation=2260 J/g

Q=44(4.186*115 + 333.55 + 2260)
Q= 135297.36 J
5 0
3 years ago
Comparing weak acids and strong acids of equal concentrations which of the following statements is true The pH of the weak acid
Firlakuza [10]

Answer:

the true statement is... The pH of the weak acid will be higher than the pH of the strong acid

Explanation:

pH is a measured of the extent to which acids dissociate into ions when plced in aqueous solution.

Strong acid dissociate near-completely, and weak acids barely dissociate.

At equal concentrations, a strong acid will have a lower pH than a weak acid, since the strong one will donate more proton to the solution.

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A 100.-gram sample of H2O(l) at 22.0°C absorbs 830. joules of heat. What will be the final temperature of the water? Hurry pleas
k0ka [10]

Answer:

That is extremely confusing. Try contacting your prof.

Explanation:

4 0
2 years ago
What is the frequency of a radio wave with a wavelength of 578.0m
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Answer:

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4 0
3 years ago
What is the theoretical yield of aluminum oxide if 1.40 mol of aluminum metal is exposed to 1.35 mol of oxygen?
jasenka [17]

Answer:

71.372 g or 0.7 moles

Explanation:

We are given;

  • Moles of Aluminium is 1.40 mol
  • Moles of Oxygen 1.35 mol

We are required to determine the theoretical yield of Aluminium oxide

The equation for the reaction between Aluminium and Oxygen is given by;

4Al(s) + 3O₂(g) → 2Al₂O₃(s)

From the equation 4 moles Al reacts with 3 moles of oxygen to yield 2 moles of Aluminium oxide.

Therefore;

1.4 moles of Al will require 1.05 moles (1.4 × 3/4) of oxygen

1.35 moles of Oxygen will require 1.8 moles (1.35 × 4/3) of Aluminium

Therefore, Aluminium is the rate limiting reagent in the reaction while Oxygen is the excess reactant.

4 moles of aluminium reacts to generate 2 moles aluminium oxide.

Therefore;

Mole ratio Al : Al₂O₃ is 4 : 2

Thus;

Moles of Al₂O₃ = Moles of Al × 0.5

                         = 1.4 moles × 0.5

                         = 0.7 moles

But; 1 mole of Al₂O₃ = 101.96 g/mol

Thus;

Theoretical mass of Al₂O₃ = 0.7 moles × 101.96 g/mol

                                            = 71.372 g

3 0
3 years ago
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