Answer:
Kc = 3.72 × 10⁶
Explanation:
Let's consider the following reaction:
NH₄HS(g) ⇄ NH₃(g) + H₂S(g)
At equilibrium, we have the following concentrations:
[NH₄HS] = 0.196 M (assuming a 1 L flask)
[NH₃] = 9.56 × 10² M
[H₂S] = 7.62 × 10² M
We can replace this data in the Kc expression.
1) 2P
2) Average speed does not change
Explanation:
1)
To solve the first part of the problem, we can use Boyle's Law, which states that:
"For a fixed mass of an ideal gas kept at constant temperature, the pressure of the gas is inversely proportional to its volume"
Mathematically:
where
p is the pressure of the gas
V is its volume
For the Xe gas in this problem we can write
where:
is the initial pressure
is the initial volume
is the final volume
Solving for p2, we find the final pressure:
So, the pressure has doubled.
2)
The average speed of the atoms/molecules in the gas is given by the formula
where
R is the gas constant
T is the absolute temperature (in Kelvin) of the gas
M is the molar mass of the gas
is known as rms speed of the particles in the gas
From the formula, we see that the speed of the atoms in the gas depends only on the temperature of the gas.
In the Xe(g) gas in this problem, the temperature is kept constant; therefore, since nothing changes in the formula, this means that the average speed also does not change.
134 atm
<h3>Explanation:</h3>In this case;
Initial pressure, P1 = 144 atm
Initial temperature, T1 (48°C) = 321 K
Final temperature, T2 (25°C) = 298 K
We need to find the final pressure,
Therefore;
P2 = (P1/T1)T2
= (144/321)× 298 K
= 133.68 atm
= 134 atm
Therefore, the new pressure will be 134 atm.
Answer:
Choice A: Light would acquire a blueshift.
Explanation:
When a universe collapses, clusters of stars start to move towards each other. There are two ways to explain why light from these stars will acquire a blueshift.
Stars move toward each other; Frequency increases due to Doppler's Effect.
The time period of a beam of light is the same as the time between two consecutive peaks. If
is the wavelength of the beam, and both the source and observer are static, the time period
will be the same as the time it takes for light travel the distance of one
(at the speed of light in vacuum,
).
.
Frequency is the reciprocal of time period. Therefore
.
Light travels in vacuum at a constant speed. However, in a collapsing universe, the star that emit the light keeps moving towards the observer. Let the distance between the star and the observer be when the star sent the first peak.
The star will emit its second peak after a time of. Meanwhile, the distance between the star and the observer keeps decreasing. Let be the speed at which the star approaches the observer. The star will travel a distance of
before sending the second peak.
The period of the light is when emitted from the star. However, the period will appear to be shorter than
for the observer. The time period will appear to be:
.
The apparent time period is smaller than the initial time period,
. Again, the frequency of a beam of light is inversely proportional to its period. A smaller time period means a higher frequency. Colors at the high-frequency end of the visible spectrum are blue and violet. The color of the beam of light will shift towards the blue end of the spectrum when observed than when emitted. In other words, a collapsing universe will cause a blueshift on light from distant stars.
The Space Fabric Shrinks; Wavelength decreases as the space is compressed.
When the universe collapses, one possibility is that clusters of stars move towards each other. Alternatively, the space fabric might shrink, which will also bring the clusters toward each other.
It takes time for light from a distant cluster to reach an observer on the ground. The space fabric keeps shrinking while the beam of light makes its way through the space. The wavelength of the beam will shrink at the same rate. The wavelength of the beam of light will be shorter by the time the beam arrives at its destination.
Colors at the short-wavelength end of the visible spectrum are blue and violet. Again, the color of the light will shift towards the blue end of the spectrum. The conclusion will be the same: a collapsing universe will cause a blueshift on light from distant stars.