The answer is C, i just took the k-12 test~
Answer : The volume of oxygen at STP is 112.0665 L
Solution : Given,
The number of moles of
= 5 moles
At STP, the temperature is 273 K and pressure is 1 atm.
Using ideal gas law equation :
![PV=nRT](https://tex.z-dn.net/?f=PV%3DnRT)
where,
P = pressure of gas
V = volume of gas
n = the number of moles
T = temperature of gas
R = gas constant = 0.0821 L atm/mole K (Given)
By rearranging the above ideal gas law equation, we get
![V=\frac{nRT}{P}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7BnRT%7D%7BP%7D)
Now put all the given values in this expression, we get the value of volume.
![V=\frac{(5moles)\times (0.0821Latm/moleK)\times (273K)}{1atm}=112.0665L](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B%285moles%29%5Ctimes%20%280.0821Latm%2FmoleK%29%5Ctimes%20%28273K%29%7D%7B1atm%7D%3D112.0665L)
Therefore, the volume of oxygen at STP is 112.0665 L
Answer: G Atom 1 and Atom 4.. hope this helps and good luck!
Answer: a) The concentration after 8.8min is 0.17 M
b) Time taken for the concentration of cyclopropane to decrease from 0.25M to 0.15M is 687 seconds.
Explanation:
Expression for rate law for first order kinetics is given by:
![t=\frac{2.303}{k}\log\frac{a}{a-x}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B2.303%7D%7Bk%7D%5Clog%5Cfrac%7Ba%7D%7Ba-x%7D)
where,
k = rate constant
t = age of sample
a = let initial amount of the reactant
a - x = amount left after decay process
a) concentration after 8.8 min:
![8.8\times 60s=\frac{2.303}{6.7\times 10^{-4}s^{-1}}\log\frac{0.25}{a-x}](https://tex.z-dn.net/?f=8.8%5Ctimes%2060s%3D%5Cfrac%7B2.303%7D%7B6.7%5Ctimes%2010%5E%7B-4%7Ds%5E%7B-1%7D%7D%5Clog%5Cfrac%7B0.25%7D%7Ba-x%7D)
![\log\frac{0.25}{a-x}=0.15](https://tex.z-dn.net/?f=%5Clog%5Cfrac%7B0.25%7D%7Ba-x%7D%3D0.15)
![(a-x)=0.17M](https://tex.z-dn.net/?f=%28a-x%29%3D0.17M)
b) for concentration to decrease from 0.25M to 0.15M
![t=\frac{2.303}{6.7\times 10^{-4}s^{-1}}\log\frac{0.25}{0.15}\\\\t=\frac{2.303}{6.7\times 10^{-4}s^{-1}}\times 0.20](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B2.303%7D%7B6.7%5Ctimes%2010%5E%7B-4%7Ds%5E%7B-1%7D%7D%5Clog%5Cfrac%7B0.25%7D%7B0.15%7D%5C%5C%5C%5Ct%3D%5Cfrac%7B2.303%7D%7B6.7%5Ctimes%2010%5E%7B-4%7Ds%5E%7B-1%7D%7D%5Ctimes%200.20)
![t=687s](https://tex.z-dn.net/?f=t%3D687s)
The volume of one mole of any gas at Standard Temperature and Pressure (1 atm and 0 degrees Celsius [273K]) is 22.4 L.