Short Answer 
Charles’s Law illustrates the direct relationship between gas volume and temperature at constant pressure, expressed by the formula V1/T1 = V2/T2. By substituting known values, the unknown temperature can be calculated, resulting in 147.0 K, which converts to -126¬¨‚àûC.
Step 1: Understand Charles’s Law
Charles’s Law states that the volume of a gas is directly proportional to its temperature (in Kelvin) at constant pressure. This means that if the temperature increases, the volume also increases, and vice versa. The principle can be expressed with the formula:
- V1/T1 = V2/T2
Here, V1 and T1 refer to the initial volume and temperature, while V2 and T2 refer to the final volume and temperature.
Step 2: Substitute Values into the Equation
To find the unknown temperature T2, substitute the known values into the equation. For this example, we have:
- V1 = 2.00 L
- T1 = 294.0 K
- V2 = 1.00 L
- T2 = x
By replacing the variables in the equation, it becomes:
- 2.00 / 294.0 = 1.00 / x
This leads us to the equation 2x = 294, from which we can solve for x.
Step 3: Calculate Temperature and Convert to Celsius
After rearranging the equation, we find x = 147.0 K. To convert from Kelvin to Celsius, we use the formula:
- Celsius = Kelvin – 273
Substituting the value gives 147 – 273 = -126¬¨‚àûC. Thus, the final result for the gas’s temperature in Celsius is -126¬¨‚àûC.