Suppose the volume of the syringe is 29.1 cc. You measure the pressure as 1.25 a
ID: 1308515 • Letter: S
Question
Suppose the volume of the syringe is 29.1 cc. You measure the pressure as 1.25 atm, and the temperature as 24.2o C. Assume: the diameter of the plunger on the syringe is 2.01 cm.
a)Find
- the number of moles of gas in the syringe: n = moles
- the number of molecules of gas in the syringe: N = molecules
- Use the molar mass of air given to calculate the mass of air in the syringe: mair = kg
b)Supose you push down the syringe so the volume is now 24.9 cc, with the temperature remaining unchanged. Find:
- the new pressure inside the syringe: P = Pa
- the magnitude of the force exerted by the gas on the plunger of the syringe: F = N
c) Suppose you suddenly press down on the syringe so the volume is now 14.8 cc, and plunge it into cold water. When the temperature is 9.06o C, find the pressure inside the syringe. P = Pa
Explanation / Answer
P1*V1 / T1 = P2*V2 / T2
P1 = 1.25 atm
V1 = 29.1 cc
T1 = 273+24.2 = 297.2
P2 = ?
V2 = 14.8 cc
T2 = 273+9.06 = 282.06
1.25*29.1*282.06 = P2 * 14.8*297.2
P2 = 2.33256622 atm = 2.33256622 *1.01325
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