Thermal Physics: Practice Problem & Solution
The value of coefficient of volume expansion of glycerin is $5 \times 10^{-4}\text{ /K}$. The fractional change in the density of glycerin for a rise of $40^\circ\text{C}$ in its temperature, is: (2015 Re)
Solution Explained:
To solve this problem, we apply the core principles of Thermal Physics. Understanding the underlying formula is key to arriving at the correct answer below:
The fractional change in density is approximately given by $\frac{\Delta \rho}{\rho} = \gamma \Delta T$. Substituting the values: $\frac{\Delta \rho}{\rho} = 5 \times 10^{-4} \times 40 = 200 \times 10^{-4} = 0.020$.
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