Answer:
The final pressure of the gas when its temperature returns to its initial value
Pa.
Step-by-step explanation:
Given : An ideal gas is confined within a closed cylinder at a pressure of
Pa by a piston. The piston moves until the volume of the gas is reduced to one-ninth of the initial volume.
To find : What is the final pressure of the gas when its temperature returns to its initial value?
Solution :
Since the temperature is constant
.
The relation between P and V is given by,
![P_1\times V_1 = P_2\times V_2](https://tex.z-dn.net/?f=P_1%5Ctimes%20V_1%20%3D%20P_2%5Ctimes%20V_2)
....(1)
The piston moves until the volume of the gas is reduced to one-ninth of the initial volume i.e. ![V_2=\frac{V_1}{9}](https://tex.z-dn.net/?f=V_2%3D%5Cfrac%7BV_1%7D%7B9%7D)
or ![\frac{V_2}{V_1}=\frac{1}{9}](https://tex.z-dn.net/?f=%5Cfrac%7BV_2%7D%7BV_1%7D%3D%5Cfrac%7B1%7D%7B9%7D)
![P_1=2.026\times 10^5](https://tex.z-dn.net/?f=P_1%3D2.026%5Ctimes%2010%5E5)
Substitute in equation (1),
The final pressure of the gas when its temperature returns to its initial value
Pa.
Answer:
42$
Step-by-step explanation:
So there's an easy way to know this.
100%--$70
60%--x
<em>cross multiply </em>
100x=4200
÷100 ÷100
______________
x=42
So he saved 42$. Hope this helps :D
Answer:
Step-by-step explanation:
- Let's assume that it is rational , so this number can be represented as
<h3>
-Since the denominator is not a natural number then the 1/√2 is respectively an irrational number</h3>
Answer:
Percentage of x free throws =
![\dfrac{x}{50}\times 100\% = (2x)\%](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7B50%7D%5Ctimes%20100%5C%25%20%3D%20%282x%29%5C%25)
Step-by-step explanation:
We are given the following in question:
Total number of throws = 50
Number of free throws made = 42
Percentage of x free throws made is given by:
![=\dfrac{x}{50}\times 100\% = (2x)\%](https://tex.z-dn.net/?f=%3D%5Cdfrac%7Bx%7D%7B50%7D%5Ctimes%20100%5C%25%20%3D%20%282x%29%5C%25)
Putting x = 42, we get,
Percentage of free throws made =
![=\dfrac{42}{50}\times 100\% = 84\%](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B42%7D%7B50%7D%5Ctimes%20100%5C%25%20%3D%2084%5C%25)
Thus, Liam made 84% free throws this morning.
45x5 = 225 minutes a week
225 x 12 = 2700 minutes in 12 weeks
2700 / 60 = 45 hours
1800 / 45 = 40 laps per hour
answer: average 40 laps per hour