An auditorium has dimensions 10.0 m ✕ 23.5 m ✕ 35.5 m. How many molecules of air fill the auditorium at 24.5°C and a pre
Posted: Sun May 22, 2022 1:31 pm
An auditorium has dimensions 10.0
m ✕ 23.5 m ✕ 35.5 m. How many
molecules of air fill the auditorium at 24.5°C and a pressure
of 101 kPa (1.00 atm)?
Step 1
The given room conditions are close to Standard Temperature and
Pressure (STP is 0°C and 101.3 kPa), so we will use the universal
gas constant expressed in SI units as R = 8.314
J/mol · K.
Step 2
The number of molecules can be found by applying the equation of
state of an ideal gas PV = nRT. We
will find the number of molecules from the number of moles by using
Avogadro's number NA.
Step 3
The equation of state of an ideal gas
is PV = nRT so we need to
solve for the number of moles to find N. Solving for
the number of moles, we have
Now we find the number of molecules N from
Avogadro's number.
m ✕ 23.5 m ✕ 35.5 m. How many
molecules of air fill the auditorium at 24.5°C and a pressure
of 101 kPa (1.00 atm)?
Step 1
The given room conditions are close to Standard Temperature and
Pressure (STP is 0°C and 101.3 kPa), so we will use the universal
gas constant expressed in SI units as R = 8.314
J/mol · K.
Step 2
The number of molecules can be found by applying the equation of
state of an ideal gas PV = nRT. We
will find the number of molecules from the number of moles by using
Avogadro's number NA.
Step 3
The equation of state of an ideal gas
is PV = nRT so we need to
solve for the number of moles to find N. Solving for
the number of moles, we have
Now we find the number of molecules N from
Avogadro's number.