How do I solve:
Determine the molar mass of a gas if 1.50g occupies 100mL at 37.0 Celsius under 5.00 ATM.
Solution + Explanation please
Determine the molar mass of a gas if 1.50g occupies 100mL at 37.0 Celsius under 5.00 ATM.
Solution + Explanation please
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you can use the ideal gas formula.
pV=nRT
now we know that n=m/M. So substitute this into ideal gas formula.
So, pV=(m/M)RT
pV=mRT/M.
Change the pressure from atm to KPa by multiplying by 101.3
p= 5*101.3 =506.5 KPa
change the temperature from celcius to kelvin by adding 273.
T = 37+273 = 310K.
Change the volume from mL to Litres by dividing by 1000.
V=100/1000= 0.1L
now put all these values in the formula.
506.5*0.1 = 1.50*8.31*310/M.
Cross multiplying...
M= 1.5*8.31*310/(506.5*0.1)
M=76.3g/mol..
So the molar mass of the gas is 76.3g/mol.
pV=nRT
now we know that n=m/M. So substitute this into ideal gas formula.
So, pV=(m/M)RT
pV=mRT/M.
Change the pressure from atm to KPa by multiplying by 101.3
p= 5*101.3 =506.5 KPa
change the temperature from celcius to kelvin by adding 273.
T = 37+273 = 310K.
Change the volume from mL to Litres by dividing by 1000.
V=100/1000= 0.1L
now put all these values in the formula.
506.5*0.1 = 1.50*8.31*310/M.
Cross multiplying...
M= 1.5*8.31*310/(506.5*0.1)
M=76.3g/mol..
So the molar mass of the gas is 76.3g/mol.