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The pressure of Sodium vapour in a 1 litre container is 10 torr at 1000℃ . How many atoms are in the container?

The pressure of Sodium vapour in a 1 litre container is 10 torr at 1000℃ . How many atoms are in the container?

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Grade:11

1 Answers

Arun
25750 Points
6 years ago
Use the ideal gas equation to solve for moles (n): 

PV = nRT 
______________________________________... 

P = 10 torr (convert to atm) = (10 torr)(1atm / 760 torr) = 0.0132 atm 
V = 1 L 
n = moles of sodium 
R = universal gas constant = 0.08205 L.atm/mol.K 
T = 1000 deg C (convert to Kelvin by adding 273) = 1273 K 

Manipulate the ideal gas equation to come up with formula for n: 

n = PV / RT = (0.0132 atm x 1 L) / (0.08205 L.atm/mol.K)(1273 K) 
n = 1.26 x 10^ -4 moles 
______________________________________... 

# of sodium atoms = n x Avogadro's number 
# of sodium atoms = (1.26 x 10^ -4 moles)(6.023 x 10^ 23 atoms / mole) 

# of sodium atoms = 7.6 x 10^ 19 atoms ===> answ

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