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Under isothermal condition, a vertical tube of length $L=100\:m$ contains a gas of molecular weight equal to $60$. The pressure and temperature at the top of the tube are $100\:kPa$ and $25\:^{\circ}C$respectively. Consider the universal gas constant and acceleration due to gravity as $8.314\:J$ mol$^{-1}$ $K^{-1}$ and $9.81\:m \:s^{2}$ respectively. If the gas is ideal, the pressure (in $kPa$) at the bottom of the tube will be ______________ (rounded off to third decimal place).
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