A brass cube, 10 cm on a side, is raised in temperature by 150$\degree$C. The coefficient of volume expansion of brass is 57 *10 ^- ⁶/$\degree$C. By what percentage does volume increase? A) 12% B) 2.8% C) 1.1% D) 0.86%

Question

Quizplus · Accepted Answer

The change in volume is given by:$$\Delta V = V\beta \Delta T$$where:* V is the original volume* $\beta$ is the coefficient of volume expansion* $\Delta T$ is the change in temperatureSubstituting the given values, we get:$$\Delta V = (10 	ext{ cm})^3 (57 	imes 10^{-6} / ^\circ C)(150 ^\circ C) = 8.55 	ext{ cm}^3$$The percentage increase in volume is:$$\frac{\Delta V}{V} 	imes 100\% = \frac{8.55 	ext{ cm}^3}{(10 	ext{ cm})^3} 	imes 100\% = 0.86\%$$Therefore, the correct answer is D) 0.86%.

A Brass Cube, 10 Cm on a Side, Is Raised °\degree°

A Brass Cube, 10 Cm on a Side, Is Raised $\degree$