Question

A cylindrical gas tank 1 m long inside diameter of 20 cm. is evacuated and then filled with carbon dioxide gas at ${37}^{\circ }C$ ( inside tank ). To what minimum pressure should it be charged if there should be 2.4 kg of $C{O}_2?$

• A. 2237 kPa
• B. 4473 kPa
• C. 8947 kPa
• D. 17894 kPa

Answer 1

The correct option is B 4473 kPa

$R_{C{O}_2}=\frac{\overline{R}}{M_{C{O}_2}}=\frac{8.314}{44}=0.1889kJ/kgK$

$V_{\text{Cylinder}}=AL=\frac{\pi }{4}(0.2{)}^2\times 1=0.031416m^3$

$PV=mRT$

$\Rightarrow P=\frac{mRT}{V}=\frac{2.4\times 0.1889\times (273+37)}{0.031416}$

$=4473.56kPa$