Answer:
The molar mass of the metal in grams per mole is calculated to be 8.87.
Explanation:
Initially, we can consider a sample of the compound weighing 100 g. This results in:
- 52.92% metal: 52.92 g M
- 47.80% oxygen: 47.80 g O
By utilizing the molar mass of oxygen, which is 16 g / mol, we can determine the quantity of moles of oxygen in the sample via the rule of three:
moles of oxygen=2.9875
The formula for the metal oxide indicates that:
2 M⁺³ + 3 O²⁻ ⇒ M₂O₃
From the previous equation, it is evident that 3 oxygen ions are necessary to react with 2 metal ions. Hence:
Given 52.92 g of metal in the sample, the molar mass of the metal is:
molar mass≅ 8.87 g/mol
The molar mass of the metal in grams per mole is 8.87.
The value that most closely corresponds to this is Beryllium (Be), which has an atomic mass of 9.0122 g / mol.
This can be determined using the principle of energy conservation. The ski lift begins with a velocity of v= 15.5 m/s, and all of its kinetic energy Ek converts into potential energy Ep, thus we set Ep equal to Ek.
Because Ek is given by (1/2)*m*v², where m denotes mass and v represents speed, while Ep equals m*g*h, where m is mass, g is 9.81 m/s², and h is height. Now:
Ek=Ep
(1/2)*m*v²=m*g*h, canceling out the mass,
(1/2)*v²=g*h, rearranging for height by dividing by g,
(1/2*g)*v²=h and substituting the values:
h=12.245 m. The hill's height rounded to the nearest tenth is h=12.25 m.
Answer:
h = 10 m
Explanation:
Given,
mass of the platform = 50 Kg
Kinetic energy = 5000 J
height from which the diver dove =?
Taking the acceleration due to gravity as 10 m/s²
Using the conservation of energy principle
Kinetic energy is transformed into potential energy
K.E = P.E
K.E = m g h
5000 = 50 x 10 x h
500 h = 5000
h = 10 m
The height from which the diver dove is equal to h = 10 m
