Suppose the volume of the syringe is 48.8 cc. You measure the pressure as 1.5 at

Question

Suppose the volume of the syringe is 48.8 cc. You measure the pressure as 1.5 atm, and the temperature as 21.4o C. Assume: the diameter of the plunger on the syringe is 2.41 cm.

a)Find
- n, the number of moles of gas in the syringe:

moles
- N, the number of molecules of gas in the syringe: molecules
- 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 38.9 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

a) Assume that air pressure is 1.00 atm and the air temperature is 23o C. If the abolute zero apparatus is open to the air, how many moles of air will it hold?


b) Suppose now that the apparatus is sealed, and the temperature rises to 59.6o C. Find the pressure inside the apparatus now.
in atm

Explanation / Answer

a) PV = nRT

=>n = PV/RT = (0.001*48.8*1.5)/(0.08205746*294.55) = 0.003029 moles

N = n*6.023*1023 = 1.8241*1021 Molecules

m = 28.97*0.003029g = 0.087737 g = 8.7737*10-5 Kg

b)PV = nRT

=>P = (0.001*38.9)/(0.003029*0.08205746*294.55) = 0.667 atm

r = d/2 = 2.41/2 = 1.205cm = 0.01205 m

P = F/A => F = PA = Pr2 = 30.814 N

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