Volume : Temperature relationship is given by

Options

A. Boyle
B. Gay Lussac
C. Dalton
D. Charles

Answer

To determine the volume-temperature relationship in gases, we can follow these steps:

### Step 1: Understand the Laws of Gas
We need to review the main gas laws that relate volume, temperature, and pressure. The three key laws to consider are:
- Boyle's Law: Relates pressure and volume at constant temperature.
- Charles's Law: Relates volume and temperature at constant pressure.
- Gay-Lussac's Law: Relates pressure and temperature at constant volume.

### Step 2: Identify the Relevant Law
Since the question specifically asks for the relationship between volume and temperature, we focus on Charles's Law. According to Charles's Law, the volume of a gas is directly proportional to its absolute temperature (in Kelvin) when the pressure is held constant.

### Step 3: State Charles's Law
Charles's Law can be mathematically expressed as:
\[ V \propto T \]
or
\[ \frac{V_1}{T_1} = \frac{V_2}{T_2} \]
where \( V \) is the volume, \( T \) is the temperature, and the subscripts 1 and 2 refer to two different states of the gas.

### Step 4: Conclusion
Thus, the volume-temperature relationship is given by **Charles's Law**.

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