Given
"Total pressure of moisture and He "P=1.20atm
"Partial pressure of sat.vapour at" 45^@C=(f)=71.88"torr"=71.88/760atm~~0.095atm
"Temperature "T=(45+273)=328K
"Pressure of He"=p_(He)=1.20-0.95=1.105atm
"Mass of He"=0.586g
n_(He)=(0.586g)/(4g"/mol")=0.1465mol
Now by ideal gas equation
p_(He)V_(He)=n_(He)RT
V_(He)=(0.1465molxx0.082LatmK^-1mol^-1xx328K)/(1.105atm)
~~3.57L