exam Maths Puzzle Numerical Ability

for thermodynamic process involving a perfect gas, the initail & final temps are related by :- T1exp(temp-s /Cp) = T2
Cp = heat capacity
temp- s = change in entropy
T1 & T2 = fi

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x^2+12x-7 A rod of 5 m at 6c grows to 5.006 m when the temperature is raised to 48c. Find the coeffcient of volumetric expansion of the unknown composing the rod.