Suppose the volume of the syringe is 33.9 cc. You measure the pressure as 2.01 a
ID: 2124003 • Letter: S
Question
Suppose the volume of the syringe is 33.9 cc. You measure the pressure as 2.01 atm, and the temperature as 22.6o C. Assume: the diameter of the plunger on the syringe is 2.89 cm.
a)Find
- n, the number of moles of gas in the syringe: moles
- N, the number of molecules of gas in the syringe:
- Use the molear mass of air given to calculate the mass of air in the syringe: kg
b)Supose you push down the syringe so the volume is now 28.5 cc, with the temperature remaining unchanged. Find:
- the new pressure inside the syringe. atm
- the force exerted by the gas on the plunger of the syringe: N
those are the answers that i got. i only got the first one correct. can you help with the others? and maybe the second and third one are correct
Explanation / Answer
a)we know that
PV = nRT
or n = (PV/RT)
where P = 2.01 atm = 2.01 x 1.05 x 10^5 Pa,V = 33.9 cc = 33.9 x 10^-3 m^3,R = 8.314 J/mol/K and T = 22.6 oC = 22.6 + 273 K
b)here,
P1V1 = P2V2
or P2 = (P1V1/V2)
where P1 = 2.01 atm,V1 = 33.9 cc and V2 = 28.5 cc
let F be the force
we know that
P2 = (F/A)
where A is area of cross section of the syringe
or F = P2 x A = P2 x pi x (d^2/4)
where d is diameter of syringe
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