The statement "The mass of a gas dissolved in a given mass of a solvent at any temperature is proportional to the pressure of the gas above the solvent " is

Options

A. Dalton's Law of partial pressures
B. Law of mass action
C. Henry's law
D. None of these

Answer

To solve the question, we need to identify what the statement refers to in the context of gas solubility and pressure. The statement provided is:

"The mass of a gas dissolved in a given mass of a solvent at any temperature is proportional to the pressure of the gas above the solvent."

### Step-by-Step Solution:

1. **Understanding the Statement**: The statement describes a relationship between the mass of a gas that can dissolve in a solvent and the pressure of that gas above the solvent.

2. **Identifying the Law**: This relationship is a direct description of **Henry's Law**. Henry's Law states that, at a constant temperature, the amount of gas that dissolves in a liquid is directly proportional to the partial pressure of that gas above the liquid.

3. **Mathematical Representation**: We can express Henry's Law mathematically. If we let \( C \) represent the concentration (or mass) of the gas dissolved in the solvent and \( P \) represent the partial pressure of the gas, we can write:
\[ C \propto P \]
or
\[ C = kP \]
where \( k \) is a constant that depends on the nature of the gas and the solvent at a given temperature.

4. **Conclusion**: Therefore, the statement provided in the question is indeed a direct application of Henry's Law, which describes the solubility of gases in liquids.

5. **Excluding Other Laws**: The other options mentioned (Dalton's Law of Partial Pressure and Law of Mass Action) do not apply to this statement:
- **Dalton's Law** pertains to the total pressure of a mixture of gases and how it relates to the individual partial pressures of the gases in the mixture.
- **Law of Mass Action** relates to the rates of chemical reactions and the concentrations of reactants, not to the solubility of gases in liquids.

### Final Answer:
The statement is a direct representation of **Henry's Law**.

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