B: the relationship is proportional
Answer:
Kinetic theory explains why the volume of a container must expand when the temperature of the gas inside increases in order for the pressure to remain constant.
Step-by-step explanation:
Charles' law: for a fixed mass of gas at constant pressure the volume is directly proportional to the temperature.
Analysis of a gas when its temperature increases according to kinetic theory:
The temperature has increased therefore the molecules have more kinetic energy, so they move with a greater velocity.¹
If the container's dimensions do not change the molecules will travel across the container between the walls in less time (because they are moving faster and covering the same distance between the container walls). This will increase the rate of collisions, which would increase the pressure.²
But if the dimensions of the container increased then the molecules would cover a larger distance faster thereby maintaining a constant rate of collisions. This would maintain a constant pressure.
Answer:
7√2 units
Step-by-step explanation:
The distance between two points having coordinates (x1, y1) and (x2, y2) is given by,
Here, x1=-4 and y1=2
x2=3 and y2=-5
Answer:
x = 0
y = -2
Step-by-step explanation:
The given system of equation are:
5x + y = -2
2x - 2y = 4
The problem here is to find x and y from the expression
5x + y = -2 ----- i
2x - 2y = 4 ---- ii
So;
i x 2 : 10x + 2y = -4 ---- iii
ii x 5 : 10x - 10y = 20 ----- iv
iii - iv; 12y = -24
y = -2
Now find x;
5x + y = -2
5x - 2 = -2
x = 0
Answer:
increase
Step-by-step explanation:
First, we need to find the mean of the given data set without any change.
10 + 61 + 10 + 44 + 21 + 79 + 27 + 12 = 264
264 ÷ 8 = <u>33</u>
Now that we have the mean, we can find the mean of the data set with the change of 52.
10 + 61 + 10 + 44 + 21 + 79 + 27 + 52 = 304
304 ÷ 8 = <u>38</u>
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From this, we can see that the mean has increased with the change of 12 to 52. Thus, that's the correct option.
hope this helps!
