Answer: Pi= 4 - 4/3 + 4/5 - 4/7 + 4/9 ...
Explanation:
Is the same as the example,
If Π/4 = 1 - 1/3 + 1/5 - 1/7 + 1/9 ...
Then
(Π/4 )*4= 4*(1 - 1/3 + 1/5 - 1/7 + 1/9 ...)
Π =4 - 4/3 + 4/5 - 4/7 + 4/9 ...
The way to write this is
Sum(from n=0 to n=inf) of (-1)^n 4/(2n+1)
(photo)
Answer:
![250\ \text{lbm/min}](https://tex.z-dn.net/?f=250%5C%20%5Ctext%7Blbm%2Fmin%7D)
![625\ \text{ft/min}](https://tex.z-dn.net/?f=625%5C%20%5Ctext%7Bft%2Fmin%7D)
Explanation:
= Area of section 1 = ![10\ \text{ft}^2](https://tex.z-dn.net/?f=10%5C%20%5Ctext%7Bft%7D%5E2)
= Velocity of water at section 1 = 100 ft/min
= Specific volume at section 1 = ![4\ \text{ft}^3/\text{lbm}](https://tex.z-dn.net/?f=4%5C%20%5Ctext%7Bft%7D%5E3%2F%5Ctext%7Blbm%7D)
= Density of fluid = ![0.2\ \text{lb/ft}^3](https://tex.z-dn.net/?f=0.2%5C%20%5Ctext%7Blb%2Fft%7D%5E3)
= Area of section 2 = ![2\ \text{ft}^2](https://tex.z-dn.net/?f=2%5C%20%5Ctext%7Bft%7D%5E2)
Mass flow rate is given by
![m=\rho A_1V_1=\dfrac{A_1V_1}{v_1}\\\Rightarrow m=\dfrac{10\times 100}{4}\\\Rightarrow m=250\ \text{lbm/min}](https://tex.z-dn.net/?f=m%3D%5Crho%20A_1V_1%3D%5Cdfrac%7BA_1V_1%7D%7Bv_1%7D%5C%5C%5CRightarrow%20m%3D%5Cdfrac%7B10%5Ctimes%20100%7D%7B4%7D%5C%5C%5CRightarrow%20m%3D250%5C%20%5Ctext%7Blbm%2Fmin%7D)
The mass flow rate through the pipe is ![250\ \text{lbm/min}](https://tex.z-dn.net/?f=250%5C%20%5Ctext%7Blbm%2Fmin%7D)
As the mass flowing through the pipe is conserved we know that the mass flow rate at section 2 will be the same as section 1
![m=\rho A_2V_2\\\Rightarrow V_2=\dfrac{m}{\rho A_2}\\\Rightarrow V_2=\dfrac{250}{0.2\times 2}\\\Rightarrow V_2=625\ \text{ft/min}](https://tex.z-dn.net/?f=m%3D%5Crho%20A_2V_2%5C%5C%5CRightarrow%20V_2%3D%5Cdfrac%7Bm%7D%7B%5Crho%20A_2%7D%5C%5C%5CRightarrow%20V_2%3D%5Cdfrac%7B250%7D%7B0.2%5Ctimes%202%7D%5C%5C%5CRightarrow%20V_2%3D625%5C%20%5Ctext%7Bft%2Fmin%7D)
The speed at section 2 is
.
Answer and Explanation:
Gas chromatography separates compounds depending on their **polarity and volatility**. Benzene, m-xylene, and toluene have similar **polarities**, therefore, the main basis for separation is **volatility**. The more volatile a component the ** higher its vapor pressure**, hence the more time it spends in the **gaseous mobile phase**, giving it a **shorter** retention time. Therefore, components of a liquid mixture will elute in order of **increasing boiling points/decreasing volatilities/increasing polarities with the stationary phase**.
Carbonation is more of a healer to the engine
Answer:
McDonald’s announced recently that they are going through some major menu changes, and will be nixing some unnecessary ingredients. They also are finally listening to us, and will stop using chickens that are injected with growth-promoting antibiotics, along with dairy products raised with the growth hormone rbST but they still are using a lot of factory farmed meat and the beef is still raised with antibiotics.
McDonald’s even said they might add kale to their menu, by putting it in salads or in a smoothie. I LOVE kale, and I hope they don’t find a way to ruin it. You know the saying, “You can put lipstick on a pig, but it’s still a pig”. So, they need to do a lot more than just add kale to their menu before I’d ever eat there. The problem is that millions are still eating there and consuming several questionable food additives that McDonald’s could remove entirely if they really wanted to.
Explanation: