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[SOLVED] Helium and Balloons/Pressure
A tank having a volume of 0.100 m3 contains helium gas at 120 atm. How many balloons can the tank blow up if each filled balloon is a sphere 0.300 m in diameter at an absolute pressure of 1.35 atm?
What i know:
V(tank)=.1m^3
P(tank)=120atm=1.21E7 Pa
Density(balloon)=.3m
Volume(balloon)=.0141m^3
P(balloon)=1.35atm=1.36E5 Pa
Volume(helium)=1.23E-26 m^3
PV=nRT
So, once the helium is transferred into a balloon the volume it takes up changes due to the change in pressure, correct? I'm not sure how to relate all these quantities in order to find out how many balloons I can fill the the with the given volume of He.
Any suggestions?
Thanks
Homework Statement
A tank having a volume of 0.100 m3 contains helium gas at 120 atm. How many balloons can the tank blow up if each filled balloon is a sphere 0.300 m in diameter at an absolute pressure of 1.35 atm?
What i know:
V(tank)=.1m^3
P(tank)=120atm=1.21E7 Pa
Density(balloon)=.3m
Volume(balloon)=.0141m^3
P(balloon)=1.35atm=1.36E5 Pa
Volume(helium)=1.23E-26 m^3
PV=nRT
So, once the helium is transferred into a balloon the volume it takes up changes due to the change in pressure, correct? I'm not sure how to relate all these quantities in order to find out how many balloons I can fill the the with the given volume of He.
Any suggestions?
Thanks