Question

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?

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.