Answer to Question #323760 in Mechanics | Relativity for amt

Question

when 2.7 kg of salt solution is poured into a cylindrical bottle, 200mm in diameter, the liquid level rise by 75mm. calculate the density and specific gravity

Answer 1

Explanations & Calculations

• d = 0.200 m, h = 0.075 m
• The volume that the solution occupy is

$\qquad\qquad \begin{aligned} \small V&=\small \pi .\frac{d^2}{4}. h\\ &=\small 2.356\times10^{-3}\,m^2 \end{aligned}$

• Then its density is

$\qquad\qquad \begin{aligned} \small \rho &=\small \frac{m}{V}\\ &=\small 1146.0\,kg m^{-3} \end{aligned}$

• Then the specific gravity is

$\qquad\qquad \begin{aligned} \small r&=\small \frac{\rho_L}{\rho_w}\\ &=\small \frac{1146.0\,kgm^{-3}}{1000.0\,kgm^{-3}}\\ &=\small 1.146 \end{aligned}$