Answer:
The result is "4,241.17 years"
Explanation:
The disintegration rate for C-14 atoms is indicated in 
The dissolution rate of the sample is given by 
The C-14 proportion within the sample can be determined as per 
With a half-life of 5730 years.
Now, we need to compute the number of half-lives (n) that are applicable:


Thus, the age of the sample is represented as = 

Response: 1000
Rationale: because 5 cubic meters equals 5000 liters
Answer: The mole fraction of hydrogen gas at 20°C is 0.975
Explanation:
The information provided includes:
Water vapor pressure at 20°C is 17.5 torr
Total pressure at 20°C = 700.0 torr
Hydrogen gas vapor pressure at 20°C = (700.0 - 17.5) torr = 682.5 torr
To find hydrogen gas's mole fraction at 20°C, we utilize Raoult's law, represented by:

where,
= pressure of hydrogen gas = 682.5 torr
= total pressure = 700.0 torr
= mole fraction of hydrogen gas =?
Substituting the values into the equation yields:

Thus, the mole fraction of hydrogen gas at 20°C equals 0.975
The result is 14.5 g L⁻¹.
Here, the problem indicates to reduce the units to one. The existing units are g/L. To achieve a singular unit format, we can move L to the numerator, which can be executed as per the exponent laws; specifically, 1 / aˣ = a⁻ˣ. Thus, we can express 1 / L as L⁻¹. Consequently, the simplified unit remains g L⁻¹. However, remember to leave a space between two different units. This ultimately depicts a unit of density.