Answer to Question #323760 in Mechanics | Relativity for amt

Question #323760

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


1
Expert's answer
2022-04-05T09:44:18-0400

Explanations & Calculations


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

V=π.d24.h=2.356×103m2\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

ρ=mV=1146.0kgm3\qquad\qquad \begin{aligned} \small \rho &=\small \frac{m}{V}\\ &=\small 1146.0\,kg m^{-3} \end{aligned}


  • Then the specific gravity is

r=ρLρw=1146.0kgm31000.0kgm3=1.146\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}


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