Assume the absolute zero apparatus is initially open to the air. The volume of a

Question

Assume the absolute zero apparatus is initially open to the air.
The volume of a sphere is: V = 4r3/3

a) Assume that air pressure is Po = 1.00 atm and the air temperature is To = 33.6o C. How many moles of air will the sphere hold?
nair =  moles

b) Suppose now that the apparatus, initially open, is now sealed with the air inside. If the apparatus is now heated to to 807o C, find the pressure inside the apparatus now.  
P =  atm

c) Assume now that, while maintaining a temperature of 807o, the sphere is injected with another 0.0245 moles of air. What is the new pressure inside the ball?
P =  atm

Explanation / Answer

(a) = as we know that

PV = nRT T=33.6C = 306.6K

n = 1*4/3*3.14*r3/8.31*306.6

=0.001643 Ans

(b) as we know that

P (proportional to) T

P0/P1 = T0/T1

P1 = 306.6 /1080 * 1

= 0.283 atm Ans

(c) P (prpportional) n

P2 = n1/ n2 * P1

= 0.0189 atm Ans

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