Question

The mass of nitrogen at 20 Celsius and two atmospheres of pressure occupies a volume of...

The mass of nitrogen at 20 Celsius and two atmospheres of pressure occupies a volume of 800m^3. What is the variation of volume produced when heated isobaric until 156.6 Celsius? What is the variation of pressure produced from the gas if the gas is heated until the same temperature but with constant volume?

Homework Answers

Answer #1

When heates isobarically then
V/T = Constant
Hence
V1 /T1 = V2  /T2
Initial volume (V1) = 800 m3
Initial temperature (T1) = 20 oC  = 20+273 = 293 K
Final temperature (T2) = 156.6 +273 = 429.6 K
Now using the above equation
800/293 = V2/429.6
V2 = 1172.969 m3
Now if the gas is heated at constant volume then
P/T = Constant
P1/T1 = P2/T2
P2 = (T2/T1)P1
Initial pressure (P1) = 2atm
P2 = (429.6/293)*2 = 2.932 atm
Hence this will be the final pressure.

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