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A liquid contains 100 cm3 of water and 40 cm3 of ethanol. If the densities of water and ethanol are 1 g/cm3 and 0.78 g/cm3 respectively. Determine the density of the mixture. 2. The diagram below show
Physics
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SECTION A
- A liquid contains of water and of ethanol. If the densities of water and ethanol are and respectively. Determine the density of the mixture.
Calculate the mass of water ().
$$ M_w = \rho_w \times V_w = 1 \, \text{g/cm}^3 \times 100 \, \text{cm}^3 = 100 \, \text{g} $$Calculate the mass of ethanol ().
$$ M_e = \rho_e \times V_e = 0.78 \, \text{g/cm}^3 \times 40 \, \text{cm}^3 = 31.2 \, \text{g} $$Calculate the total mass of the mixture ().
$$ M_{total} = M_w + M_e = 100 \, \text{g} + 31.2 \, \text{g} = 131.2 \, \text{g} $$Calculate the total volume of the mixture ().
$$ V_{total} = V_w + V_e = 100 \, \text{cm}^3 + 40 \, \text{cm}^3 = 140 \, \text{cm}^3 $$Calculate the density of the mixture ().
$$ \rho_{mixture} = \frac{M_{total}}{V_{total}} = \frac{131.2 \, \text{g}}{140 \, \text{cm}^3} = 0.937 \, \text{g/cm}^3 $$ The density of the mixture is $\boxed{\text{0.937 g/cm}^3\text{}}$.2. The diagram below shows a micrometer screw gauge. What is the reading in SI units?
Read the main scale.
The edge of the thimble is past the mark.
Main scale reading =Read the thimble scale.
The horizontal line aligns with the division.
Thimble scale reading =Calculate the total reading.
Total reading = Main scale reading + Thimble scale reading = $5.00 \, mm + 0.
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