A brass cube,10 cm on a side,is raised in temperature by 150°C.The coefficient of volume expansion of brass is 57 × 10−⁶/°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:* $\Delta V$ is the change in volume* $V$ is the original volume* $\beta$ is the coefficient of volume expansion* $\Delta T$ is the change in temperatureSubstituting the given values into the equation, we get:$$\Delta V = (10 cm)^3(57 	imes 10^{-6}/°C)(150°C) = 85.5 cm^3$$The percentage increase in volume is:$$\frac{\Delta V}{V} 	imes 100\% = \frac{85.5 cm^3}{(10 cm)^3} 	imes 100\% = 0.86\%$$Therefore, the correct answer is D) 0.86%.

A Brass Cube,10 Cm on a Side,is Raised in Temperature