A cylindrical gas tank 1 m long, inside diameter of 20 cm, is evacuated and then filled with carbon dioxide gas at 25°C. To what pressure should it be charged if there should be 1.2 kg of carbon dioxide?
V=l⋅A=l⋅πd2/4=1⋅3.14⋅0.22/4=0.1256 (m3)V=l\cdot A=l\cdot\pi d^2/4=1\cdot3.14\cdot0.2^2/4=0.1256\ (m^3)V=l⋅A=l⋅πd2/4=1⋅3.14⋅0.22/4=0.1256 (m3)
pV=mRT/M→p=mRT/(MV)=pV=mRT/M\to p=mRT/(MV)=pV=mRT/M→p=mRT/(MV)=
p=1.2⋅8.31⋅298/(0.048⋅0.1256)≈493 (kPa)p=1.2\cdot8.31\cdot298/(0.048\cdot0.1256)\approx493\ (kPa)p=1.2⋅8.31⋅298/(0.048⋅0.1256)≈493 (kPa) . Answer
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