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  4. A hydrogen cylinder is designed to withstand an internal pressure of 100 atm. At 27° C, hydrogen is pumped into the cylinder which exerts a pressure of 20 atm. At what temperature does the danger of explosion first sets in?

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Q. A hydrogen cylinder is designed to withstand an internal pressure of $100\, atm$. At $27^{\circ} C$, hydrogen is pumped into the cylinder which exerts a pressure of $20 \,atm$. At what temperature does the danger of explosion first sets in?

Thermodynamics

Solution:

Constant volume process
$P V=n R T $
$\frac{P_{1}}{T_{1}}=\frac{P_{2}}{T_{2}}$
$\frac{20}{300}=\frac{100}{T_{2}} $
$T_{2}=1500 \,K$