Atoms in 15L Ar at STP: 4.0325x1023

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In summary, Avogadro's number, 6.022x1023, represents the number of particles in one mole of a substance. It can be used to calculate the number of atoms in a sample by dividing the number of particles by Avogadro's number. STP, which is defined as 0 degrees Celsius and 1 atmosphere of pressure, is significant in this context as it allows for the calculation of the number of atoms present in a gas sample. The number of atoms in a sample can change at different temperatures and pressures. Avogadro's number is useful to scientists in various calculations and allows for the comparison of the number of particles in different substances.
  • #1
fcb
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Homework Statement


How many atoms are contained in 15 litres of Ar at STP


Homework Equations




The Attempt at a Solution


I just did 15/22.4 = 0.669642
0.669642 x 6.022x1023

=4.0325x1023

Is this correct. Thanks so much for your helo
 
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  • #2
Correct approach, incorrect significant digits.

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methods
 
  • #3
Can you give me a hint as to where i went wrong.
 
  • #4
Your final answer should have the same amount of significant figures as your data. Otherwise calculations are correct.

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methods
 
  • #5
.

Yes, your approach is correct. The number of atoms in a gas at STP can be calculated by using the ideal gas law, which states that PV=nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature. At STP, the pressure is 1 atm and the temperature is 273.15 K. Therefore, n=PV/RT. Plugging in the values, we get n= (1 atm)(15 L) / (0.0821 L atm/mol K)(273.15 K) = 0.6696 moles. Since 1 mole of any substance contains 6.022x10^23 particles (Avogadro's number), the number of atoms in 15 L of Ar at STP is 0.6696 moles x 6.022x10^23 atoms/mole = 4.0325x10^23 atoms. So your calculation is correct.
 

1. What is the meaning of "Atoms in 15L Ar at STP: 4.0325x1023"?

This phrase refers to the number of atoms present in a given volume (15L) of argon gas at standard temperature and pressure (STP), which is defined as 0 degrees Celsius and 1 atmosphere of pressure. The number, 4.0325x1023, is known as Avogadro's number and represents the number of particles (atoms or molecules) in one mole of a substance.

2. How is Avogadro's number related to the number of atoms in a sample?

Avogadro's number, 6.022x1023, is a constant that represents the number of particles in one mole of a substance. Therefore, the number of atoms in a sample can be calculated by dividing the number of particles in the sample by Avogadro's number.

3. What is the significance of standard temperature and pressure (STP) in this context?

STP is a standardized set of conditions used for measuring physical properties of gases. In this context, it specifies that the volume of the gas is 15L and the temperature is 0 degrees Celsius, which allows for the calculation of the number of atoms present in the gas sample.

4. Can the number of atoms in a sample change at different temperatures and pressures?

Yes, the number of atoms in a sample can change at different temperatures and pressures. This is because temperature and pressure affect the volume of a gas, and the number of atoms in a given volume of a gas sample will vary depending on these factors.

5. How is the concept of Avogadro's number useful to scientists?

Avogadro's number is a fundamental constant in chemistry and is useful in many calculations, such as determining the number of particles in a given volume of gas or the number of moles in a given mass of a substance. It also allows for the comparison of the number of atoms or molecules in different substances, providing a way to understand the scale of the microscopic world.

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