Step 1: Given that the density at 0°C and 500°C is in the ratio 11:7, we have the equation:
\[\frac{\rho_{0}}{\rho_{500}} = 1 + \beta \Delta T\]
where \(\rho_{0}\) is the density at 0°C, \(\rho_{500}\) is the density at 500°C, \(\beta\) is the coefficient of
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