A number of chemicals decompose under appropriate conditions and liberate a fair quantity of

energy that could initiate considerable property damage. Determine the temperature and pres$-$

sure attained in a closed spherical container when acetylene, initially at $25$C and $10$ atm,

rapidly decomposes to carbon and hydrogen after accidentally being subjected to an electric

spark. What thickness of carbon steel would have been required to contain the decomposition

reaction if no relief valve had been available to relieve the pressure buildup? $($Assume a safety

factor of $4$ in the thickness calculation.