Molecules in a room of volume 23 m^3 if the pressure is 9.5 times 10^4 Pa (the r

Question

Molecules in a room of volume 23 m^3 if the pressure is 9.5 times 10^4 Pa (the room is at fairly high elevation) and the temperature is 21 degree C? Is any item of data unnecessary for the solution? The product of the pressure and volume of a sample hydrogen gas at 0.00 degree C is 80.0 J. (a) How many moles of hydrogen are present? (b) What is the average translational kinetic energy of the hydrogen molecules? (c) value of the product of pressure and volume at 200 degree C? What is the gauge pressure inside a tank of 4.86 times 10^4 mol of compressed nitrogen with a volume of 6.56 m^3 if the rms speed is 514 m/s?

Explanation / Answer

a) PV = nRT

80 = n*8.314*273

n = 0.0352

b) 3/2 k T = 3/2 *(8.31/6.023*10^23) * 273

= 5.65*10^-21 J

c) PV = nRT

= 0.0352*8.314*473

= 138.6 J

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