Answer : The volume of the cube submerged in the liquid is, 29.8 mL
Explanation :
First we have to determine the mass of ice.
Formula used :

Given:
Density of ice = 
Volume of ice = 45.0 mL


The cube will float when 40.5 g of liquid is displaced.
Now we have to determine the volume of the cube is submerged in the liquid.



Thus, the volume of the cube submerged in the liquid is, 29.8 mL
Answer:
1.788 × 10⁷ g
Explanation:
Let's consider the following balanced equation.
2 H₂ + O₂ → 2 H₂O
We can establish the following relations.
- The molar mass of H₂ is 2.016 g/mol.
- The molar ratio of H₂ to H₂O is 2:2.
- The molar mass of H₂O is 18.02 g/mol.
The mass of H₂O obtained from 200.0 kg (200.0 × 10³ g = 2.000 × 10⁶ g) of H₂ is:

To calculate the number of moles, the equation is mass of substance divided by the molar mass of substance.
Molar mass of Fe2O3 is the relative atomic mas of all the elements from the substance added up, which makes 55.845x2 + 16.0 x3 = 159.69g mol-1
So the number of moles is
545g / 159.69gmol-1
=3.41 mol (corrected to 3 sig. fig.)
Answer:
(a) Benzene = 0.26; toluene = 0.74
(b) Benzene = 0.55
Explanation:
1. Calculate the composition of the solution
For convenience, let’s call benzene Component 1 and toluene Component 2.
According to Raoult’s Law,

where
p₁ and p₂ are the vapour pressures of the components above the solution
χ₁ and χ₂ are the mole fractions of the components
p₁° and p₂° are the vapour pressures of the pure components.
Note that
χ₁ + χ₂ = 1
So,

χ₁ = 0.26 and χ₂ = 0.74
2. Calculate the mole fraction of benzene in the vapour
In the liquid,
p₁ = χ₁p₁° = 0.26 × 75 mm = 20 mm
∴ In the vapour

Note that the vapour composition diagram below has toluene along the horizontal axis. The purple line is the vapour pressure curve for the vapour. Since χ₂ has dropped to 0.45, χ₁ has increased to 0.55.