The new temperature of the gas is -32.15 °C or 240.85 K.
The new temperature of the gas can be calculated using the mathematical representation of Charles's law
Charles's law
Charles's law states that at constant pressure, the volume of a fixed mass of gas is directly proportional to its absolute temperature.
Formula:
- V/T = V'/T'................ Equation 1
Where:
- V = Initial volume of the gas
- T = Initial temperature of the gas
- V' = Final Volume of the gas
- T' = Final temperature of the gas.
Make T' The subject of the equation
- T' = V'T/V............. Equation 2
From the question,
Given:
- V = 2.24 L
- V' = 1.66 L
- T = 52 °C
We need to convert the initial temperature T above from °C to Kelvin (K) by adding 273.
Substitute these values into equation 2
- T' = (1.66×325)/2.24
- T' = 539.5/2.24
- T' = 240.85 K.
- T' = -32.15 °C.
Hence, The new temperature of the gas is -32.15 °C.
Learn more about Charles's law here: https://brainly.com/question/25290815
