The correct answer is option A, that is, N₂O has 2 nitrogen atoms, whereas NO has only one.
A molecule with the formula NO comprises one oxygen atom and one nitrogen atom, while the molecule with the formula N₂O comprises two nitrogen atoms and one oxygen atom.
The Boyle-Mariotte's law or Boyle's law is one of the laws of gases that <u>relates the volume (V) and pressure (P) of a certain amount of gas maintained at constant temperature</u>, as follows:
PV = k
where k is a constant.
We can relate the state of a gas at a specific pressure and volume to another state in which the same gas is at different P and V since the product of both variables is equal to a constant, according to the Boyle's law, which will be the same regardless of the state of the gas. In this way,
P₁V₁ = P₂V₂
Where P₁ and V₁ is the pressure and volume of the gas to a state 1 and P₂ and V₂ is the pressure and volume of the same gas in a state 2.
In this case, in the state 1 the gas occupies a volume V₁ = 100 mL at a pressure of P₁ = 150 kPa. Then, in the state 2 the gas occupies a volume V₂ (that we must calculate through the boyle's law) at a pressure of P₂ = 200 kPa. Substituting these values in the previous equation and clearing V₂, we have,
P₁V₁ = P₂V₂ → V₂ =
→ V₂ = ![\frac{100 mL x 150 kPa}{200 kPa}](https://tex.z-dn.net/?f=%5Cfrac%7B100%20mL%20x%20150%20kPa%7D%7B200%20kPa%7D)
→ V₂ = 75 mL
Then, the volume occupied by the gas at 200 kPa is V₂ = 75 mL
The density of metal block in grams per cubic centimeter is 10.70 g/cm³.
Given,
Mass of metal block = 5.16 lb
1 lb = 453.592 g
5.26 lb = 2340.536 g
The volume of metal block = 14 in 3
1 in = 2.5 cm
1 in 3 = 15.625 cm³
14 in 3 = 218.75 cm³
Density is defined as the mass per unit volume of a substance. Or, it is the ratio of mass to the volume of the substance.
As we know,
Density = mass/volume
Or, density = 2340.536 / 218.75
Or, density = 10.70 g/cm³
Therefore, the density of the metal block is 10.70 g/cm³.
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