We have some air in a cylinder like that in the figure. Assume that air is an id

Question

We have some air in a cylinder like that in the figure. Assume that air is an ideal diatomic gas. The diameter of the cylinder is 5.4 cm. The mass of the piston is negligible so that the pressure inside the cylinder is maintained at atmospheric pressure which is 1.00 atm. The height of the piston is 9.7 cm, measured from the bottom of the cylinder. The temperature of the air is 35.6 'C. (a) Find the number of moles of air in the cylinder. (b) We heat the gas so that the piston rises to a height of 16.7 m. The pressure of the air remains constant. Find the final temperature of the air. (c) Find the amount of hear that was put into air.

Explanation / Answer

PV =nRT n = PV/RT V =(pi d^2)/4 *h = 222.15 cu.cm = 0.222 ltr n = 1*0.222/(0.0821*(273+35.6) = 0.00876 moles = 8.76 mili moles. W = P *(delta V) = 1*10^5*0.222(16.7/9.7 - 1)/100= 16 J PV = nRT V1/V2 = T1/T2 T2 = 531.3 K final temperature Q = 0.00876*3.5*8.314*(531.3-308.6) = 56.77 J

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