Final answer:
To find the new volume of a gas after a temperature change, we use Charles's Law. After converting temperatures to Kelvin and applying the formula V1/T1 = V2/T2, we find that the new volume would be approximately 2.92 liters, assuming constant pressure and amount of gas.
Step-by-step explanation:
To determine the new volume of a gas when the temperature changes, we use the combined gas law, which assumes constant pressure and amount of gas. We begin by converting the temperatures from Celsius to Kelvin, because the gas laws require temperature in absolute units. We add 273 to each Celsius temperature to get Kelvin:
- Initial temperature (T1) = 325 °C + 273 = 598 K
- New temperature (T2) = 30 °C + 273 = 303 K
The combined gas law for a constant amount of gas and pressure, when dealing with volume and temperature, simplifies to Charles's Law, which states that the volume of a gas directly varies with the absolute temperature. The formula for Charles's Law, when solving for the new volume (V2), is:
V1/T1 = V2/T2
Plugging in our values:
5.75 L / 598 K = V2 / 303 K
Solving for V2, we get:
V2 = (5.75 L × 303 K) / 598 K
V2 ≈ 2.92 L
Therefore, if the temperature of the gas is lowered from 325 °C to 30 °C, the new volume of the gas would be approximately 2.92 liters, assuming constant pressure and the amount of gas does not change.