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1) The cylinder represented below contains 3 kg of oxygen.(The molar mass of gas

ID: 1382529 • Letter: 1

Question

1) The cylinder represented below contains 3 kg of oxygen.(The molar mass of gaseous oxygen is 32 g, and the oxygen is assumed to be an ideal gas.)

If the volume 2 m3 of oxygen is at a temperature 333K at point A,

a) What is pressure (Pa) of the oxygen at point A?

The absolute pressure of the oxygen is doubled isochorically to reach point B, and then the volume of the oxygen is changed isobarically to reach point C at the same temperature as at point A.

b) Calculate the volume of the oxygen at point C.

c) By how much does the internal energy of the oxygen change? (does it increase or decrease)

d) Calculate the work done on the oxygen for the process A to B to C.

oxygen

Explanation / Answer


apply ideal gas equation as PV = nRT

where P is pressure

V is VOlume

n is no. of moles = Wt/gmw

R is gas cosnatnt

T is temp

so

part A:

pressure P = (3/0.032) * 8.314 * 333/(2)

P = 1.29 e 5 Pa

=------------------------------------------

as Volume if tripled isobrically V at C = 2 m^3

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as V is increases, Internal eenrgy also increses
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Wac     = Wab + Wbc

Wab = 1.29e 5 * (3) + 0

Wab = 3.89 e 5 Joules