Respuesta :
Answer:PV=nRT
Explanation:find n which are moles and then multiply Avogadro number with moles to get your answer
Considering the ideal gas law and the definition of Avogadro's Number, the correct option is the second option, 1.14*10²⁴ molecules of CO₂ are contained in a 10.0 L tank at 7.53 atm and 485 K.
In first place, you have to know that an ideal gas is a theoretical gas that is considered to be composed of point particles that move randomly and do not interact with each other. Gases in general are ideal when they are at high temperatures and low pressures.
Now, it is necessary to know that the pressure, P, the temperature, T, and the volume, V, of an ideal gas, are related by a simple formula called the ideal gas law:
P×V = n×R×T
where
- P is the gas pressure
- V is the volume that the gasoccupies
- T is its temperature
- R is the ideal gas constant. It has the same value for all gaseous substances and its numerical value will depend on the units in which the other properties are worked.
- n is the number of moles of the gas.
In this case:
- P= 7.53 atm
- V= 10 L
- T= 485 L
- R= 0.082 (atm×L)/ (mol×K)
- n= ?
Replacing:
7.53 atm× 10 L= n× 0.082 (atm×L)÷(mol×K) × 485 K
Solving:
n= [7.53 atm× 10 L] ÷ [0.082 (atm×L)÷(mol×K) × 485 K]
n= 1.89 moles
On the other hand, the number of particles that make up a substance (usually atoms or molecules) and that can be found in the amount of one mole of said substance is called Avogadro's Number or Avogadro's Constant. Its value is 6.023×10²³ particles per mole. Avogadro's number applies to any substance.
So, in this case, you can apply the following rule of three: if by definition of Avogadro's number, 1 mole of CO₂ contains 6.023×10²³ molecules, 1.89 moles of the compound contains how many molecules?
number of molecules= (1.89 moles*6.023×10²³ molecules) ÷ 1 mole
number of molecules= 1.14*10²⁴
Finally, the correct option is the second option, 1.14*10²⁴ molecules of CO₂ are contained in a 10.0 L tank at 7.53 atm and 485 K.
Learn more about:
- the ideal gas law: https://brainly.com/question/4147359?referrer=searchResults
- Avogadro's number: https://brainly.com/question/1528951?referrer=searchResults
