Explanation:
oo wow genius question lol
Answer:
k = 0.1118 per min
Explanation:
Assume;
Initial number of bacteria = N0
Number of bacteria IN 'T' time = Nt
So,
![Nt=N0e^{-kt}\\\\in\ 6.2 min\\\\\\frac{N0}{2}= N0e^{-k(6.2)}\\\\ln\frac{1}{2} = -k[6.2]](https://tex.z-dn.net/?f=Nt%3DN0e%5E%7B-kt%7D%5C%5C%5C%5Cin%5C%206.2%20min%5C%5C%5C%5C%5C%5Cfrac%7BN0%7D%7B2%7D%3D%20N0e%5E%7B-k%286.2%29%7D%5C%5C%5C%5Cln%5Cfrac%7B1%7D%7B2%7D%20%3D%20-k%5B6.2%5D)
k = 0.1118 per min
Answer:
The temperature drop is 61.1 °C
The final specific volume of the refrigerant is 1.236 m^3/kg
Explanation:
Initial pressure of refrigerant = 800 kPa = 800/100 = 8 bar
Final pressure of refrigerant = 140 kPa = 140/100 = 1.4 bar
From steam table
At 8 bar, initial saturated temperature is 170.4 °C
At 1.4 bar, final saturated temperature is 109.3 °C
Temperature drop = initial saturated temperature - final saturated temperature = 170.4 - 109.3 = 61.1 °C
Also, from steam table
At 1.4 bar, specific volume is 1.236 m^3/kg
Final specific volume of the refrigerant is 1.236 m^3/kg
Answer:
The age of the bones is approximately 14172 years.
Explanation:
The age of the bones can be determinated using the following decay equation:
(1)
<u>Where:</u>
N(t): is the quantity of C-14 at time t
No: is the initial quantity of C-14
λ: is the decay rate
t: is the time
First, we need to find λ:

<u>Where:</u>
t(1/2): is the half-life of C-14 = 5730 y
Now, we can calculate the age of the bones by solving equation (1) for t:
We know that the bones have lost 82% of the C-14 they originally contained, so:

Therefore, the age of the bones is approximately 14172 years.
I hope it helps you!