Final answer:
To find the temperature change when the volume of a gas increases from 250 mL to 425 mL, convert the original temperature to Kelvin and apply Charles's Law formula. The final temperature is roughly 430.4°C.
Step-by-step explanation:
The student is asking about the relationship between the volume and temperature of a gas, which is described by Charles's Law. To solve for the unknown temperature when the volume of a gas changes, we must first convert the initial temperature from Celsius to Kelvin by adding 273. In this case, 137°C becomes 410 K. Assuming constant pressure and amount of gas, Charles's Law states that the volume of an ideal gas at constant pressure is directly proportional to its temperature in Kelvins. The formula is V1/T1 = V2/T2. Plugging in the values, we have:
250 mL / 410 K = 425 mL / T2
Now we solve for T2:
T2 = (425 mL * 410 K) / 250 mL
T2 = 703.4 K
To convert back to Celsius, subtract 273 from the Kelvin temperature:
703.4 K - 273 = 430.4°C
Therefore, when the volume of the gas is changed from 250 mL to 425 mL, the temperature will change from 137°C to approximately 430.4°C.