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sattari [20]
3 years ago
14

A denisty of a bottle weighs 0.25N when empty & 0.75N when filled with water & 0.65N when filled with alcohol. Calculate

;. 1) the volume of the bottle 2) the denisty of the alcohol (denisty of water is 1000kg/m & g is 10m
Biology
1 answer:
Ulleksa [173]3 years ago
7 0

Answer:

0.05\times 10^{-3}\ \text{m}^3

800\ \text{kg/m}^3

Explanation:

W_b = Weight of bottle = 0.25 N

W_w = Weight of water = 0.75-0.25=0.5\ \text{N}

g = Acceleration due to gravity = 10\ \text{m/s}^2

\rho_w = Density of water = 1000\ \text{kg/m}^3

Mass of water

m_w=\dfrac{W_w}{g}\\\Rightarrow m_w=\dfrac{0.5}{10}\\\Rightarrow m_w=0.05\ \text{kg}

Volume is given by

V_w=\dfrac{m_w}{\rho_w}\\\Rightarrow V_w=\dfrac{0.05}{1000}\\\Rightarrow V_w=0.05\times 10^{-3}\ \text{m}^3

Volume of the bottle is 0.05\times 10^{-3}\ \text{m}^3.

This means that the alcohol will take the same amount of volume.

W_a = Weight of alcohol = 0.65-0.25=0.4\ \text{N}

Mass of alcohol

m_a=\dfrac{0.4}{10}\\\Rightarrow m_a=0.04\ \text{kg}

Density is given by

\rho=\dfrac{m_a}{V_w}\\\Rightarrow \rho=\dfrac{0.04}{0.05\times 10^{-3}}\\\Rightarrow \rho=800\ \text{kg/m}^3

Density of alcohol is 800\ \text{kg/m}^3

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