76 856
Assignments Done
98,7%
Successfully Done
In June 2019

Answer to Question #2688 in Molecular Physics | Thermodynamics for Eman Faniin

Question #2688
& A hot-air balloon must support its own weight plus a person for a total weight of 1200 N Ambient air is at 20C and 1 atm . The hot air inside the balloon is at 65C and 1 atm. What diameter of spherical balloon just will support the total weight ? neglect the size of the hot-air inlet vent .
Archimedes&#039; theorem: the ball will support the total weight in the air, if the density of the ball with air + cargo equal to the density of air at 20 degrees.

1200 N = 120 kg
&rho;sys = (120 +V* &rho; 65)/V = &rho;20
&rho;65 = 1.045 kg/m3 - density at 65 degrees
&rho;20 = 1.204 kg/m3 - density at 20 degrees

thus
V = 755 m3 =&gt; r = (3V/ 4 &pi;)1/3 = (180) 1/3 = 5.65 m
Hence diameter D = 2r = 11.3m

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!