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mr_godi [17]
3 years ago
10

Which of the following is NOT part of the kinetic theory of gases?

Physics
2 answers:
poizon [28]3 years ago
7 0

Answer:

The option that does NOT correspond to the kinetic theory of gases is the option a."There is very little empty space in a gas."

Explanation:

The kinetic theory of gases allows to deduce the properties of the ideal gas using a model in which the gas molecules are spheres that comply with the laws of classical mechanics. This theory states that heat and movement are related, that particles of all matter are moving to some extent and that heat is a sign of this movement.

The postulates of this theory are:

  • A gas is formed by a large number of spherical particles whose size is negligible compared to the distance between the particles. That is, there are no attractive forces between the molecules of a gas .
  • The molecules move in a straight line at high speed and only interact when they collide. Crashes between particles and with the vessel walls are considered perfectly elastic, conserving translational kinetic energy. Expressed in other words, gas molecules possess kinetic energy. In the movement, the gas molecules collide elastically with each other and with the walls of the container that contains them in a perfectly random way, that is, in each shock the energy is delivered from one particle to another, and therefore they can continue in constant motion The frequency of collisions with the walls of the vessel explains the pressure exerted by the gases.
  • The energy of such particles can be converted into heat or another form of energy. but the total kinetic energy of the molecules will remain constant if the volume and temperature of the gas do not vary; Therefore, the pressure of a gas is constant if the temperature and volume do not change. Then, an increase in the temperature of a gas also increases the speed at which the particles move.

Taking into account the above, <u><em>the option that does NOT correspond to the kinetic theory of gases is the option a."There is very little empty space in a gas."</em></u>

padilas [110]3 years ago
3 0

Answer:

Option a

Explanation:

The three basic and major points of the kinetic theory of gases are listed below:

1. In the collision between the gas molecules, no loss or gain of energy takes place.

2. According to the theory, the gaseous molecules exhibits constant and linear motion.

3. The molecules of the gas occupies very little space as compared to the container. Thus the empty space in a gas is not very little.

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3 years ago
a. What proportion of resistors have resistances less than 90 Ω? b. Find the mean resistance. c. Find the standard deviation of
Anettt [7]

Answer:

a) 0.0625 = 6.25%

b) 106.67 Ω

c) 9.43 Ω

d) 1

Explanation:

The probability distribution is given as

f(x) = (x - 80)/800 for 80 < x < 120

f(x) = 0 otherwise.

f(x) = (x/800) - (0.1)

a) Proportion of resistors with resistance less than 90 Ω

P(X < 90) = ∫⁹⁰₈₀ f(x) dx

∫⁹⁰₈₀ f(x) dx = ∫⁹⁰₈₀ [(x/800) - (0.1)]

= [(x²/1600) - 0.1x]⁹⁰₈₀

= [(90²/1600) - 0.1(90)] - [(80²/1600) - 0.1(80)]

= (5.0625 - 9) - [4 - 8]

= -3.9375 + 4 = 0.0625 = 6.25%

b) The mean is given by the expected value expression E(X) = = Σ xᵢpᵢ (with the sum done all over the data set for each variable and its corresponding probability)

It can be written in integral form as

Mean = ∫¹²⁰₈₀ xf(x) dx (with the integral done all over the probability function, i.e. from, 80 to 120)

Mean = ∫¹²⁰₈₀ x[(x/800) - (0.1)] dx

= ∫¹²⁰₈₀ [(x²/800) - (0.1x)] dx

= [(x³/2400) - (0.05x²)]¹²⁰₈₀

= [(120³/2400) - (0.05(120²)] - [(80³/2400) - (0.05(80²)]

= [720 - 720] - [213.33 - 320] = 106.67 Ω

c) Standard deviation = √(variance)

Variance = Var(X) = Σx²p − μ²

μ = mean = expected value = 106.67 Ω

Σx²p = ∫¹²⁰₈₀ x²f(x) dx = ∫¹²⁰₈₀ x² [(x/800) - (0.1)] dx = ∫¹²⁰₈₀ [(x³/800) - (0.1x²)] dx

= [(x⁴/3200) - (0.0333x³)]¹²⁰₈₀

= [(120⁴/3200) - (0.0333(120³)] - [(80⁴/3200) - (0.0333(80)³)]

= (64800 - 57600) - (12800 - 17066.667)

= 11466.667

Variance = 11466.667 - 106.67² = 88.85

Standard deviation = √88.85 = 9.43 Ω

d) Cdf = sum of probabilities over the entire probability function

Cdf = ∫¹²⁰₈₀ f(x) dx = ∫¹²⁰₈₀ [(x/800) - (0.1)] dx

= [(x²/1600) - 0.1x]¹²⁰₈₀ = [(120²/1600) - 0.1(120)] - [(80²/1600) - 0.1(80)] = (9 - 12) - (4 - 8) = -3+4 = 1 as it should be!!!

Hope this Helps!!!

4 0
3 years ago
I really need help.
Zielflug [23.3K]
2/5 = .4
.4*100= 40%
Alex spends more time
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3 years ago
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