Answer :
Sure, let's break down each option to determine which one represents Dalton's Law of partial pressure.
1. PV = nRT
- This is the Ideal Gas Law, which relates pressure (P), volume (V), number of moles (n), the gas constant (R), and temperature (T). It does not specifically describe partial pressures in a mixture of gases.
2. Ptotal = PA + PB + ...
- This equation is Dalton's Law of partial pressure. It states that the total pressure exerted by a mixture of non-reacting gases is equal to the sum of the partial pressures of individual gases. For example, if you have a gas mixture containing gas A and gas B, the total pressure (Ptotal) would be the sum of the pressures exerted by gas A (PA) and gas B (PB).
3. P₁V₁ = P₂V₂
- This is Boyle's Law, which describes the inverse relationship between the pressure and volume of a gas at constant temperature. It does not describe the additive nature of partial pressures in a mixture.
Therefore, the correct equation that represents Dalton's Law of partial pressure is:
[tex]\[ \text{P}_{\text{total}} = \text{P}_{\text{A}} + \text{P}_{\text{B}} + \ldots \][/tex]
The correct choice is 2.
1. PV = nRT
- This is the Ideal Gas Law, which relates pressure (P), volume (V), number of moles (n), the gas constant (R), and temperature (T). It does not specifically describe partial pressures in a mixture of gases.
2. Ptotal = PA + PB + ...
- This equation is Dalton's Law of partial pressure. It states that the total pressure exerted by a mixture of non-reacting gases is equal to the sum of the partial pressures of individual gases. For example, if you have a gas mixture containing gas A and gas B, the total pressure (Ptotal) would be the sum of the pressures exerted by gas A (PA) and gas B (PB).
3. P₁V₁ = P₂V₂
- This is Boyle's Law, which describes the inverse relationship between the pressure and volume of a gas at constant temperature. It does not describe the additive nature of partial pressures in a mixture.
Therefore, the correct equation that represents Dalton's Law of partial pressure is:
[tex]\[ \text{P}_{\text{total}} = \text{P}_{\text{A}} + \text{P}_{\text{B}} + \ldots \][/tex]
The correct choice is 2.
