- #1
Erik Horwath
- 7
- 0
A tank having a volume of .100 m^3 contains helium gas at 150 atm. How many ballons can the tank blow up if each filled balloon is a sphere of .300 m in diameter at an absolute pressure of 1.2 atm?
Here is what I have so far: Assuming no gas is lost to the atmosphere, n is constant. R is constant (8.314 J/mol K) by definition. The final volume of the gas must be a multiple of (4/3)pi(.3/2)^3. So
((150 atm)(1.013*10^5 Pa/atm)(.1 m^3))/T1=(x(4/3)(pi)(.15)^3(1.2))/T2
But this equation contains three variables x,T1,T2...please help...
Here is what I have so far: Assuming no gas is lost to the atmosphere, n is constant. R is constant (8.314 J/mol K) by definition. The final volume of the gas must be a multiple of (4/3)pi(.3/2)^3. So
((150 atm)(1.013*10^5 Pa/atm)(.1 m^3))/T1=(x(4/3)(pi)(.15)^3(1.2))/T2
But this equation contains three variables x,T1,T2...please help...