Question

The coefficient of volume expansion of glycerin is 49 x ${10}^{-5}{K}^{-1}$. The fractional change in the density on a ${30}^o$C rise in temperature is:

• A. 1.47 x ${10}^{-2}$
• B. 1.47 x ${10}^{-3}$
• C. 1.47 x ${10}^{-1}$
• D. 1.47 x ${10}^{-4}$

Answer 1

The correct option is A 1.47 x ${10}^{-2}$

$Thechangeddensity{\rho }_2={\rho }_1(1-\gamma \Delta t)differeceinthedensities={\rho }_1\gamma \Delta twhere\gamma =coeffiecientofvolumechange\Delta t=changeintemperature{\rho }_2,{\rho }_1=changedandoriginaldensitiesrespectivelyNowfractionalchangeinthedensity=\frac{{\rho }_1\gamma \Delta t}{{\rho }_1}=\gamma \Delta t=1.47\times {10}^{-2}$