Final answer:
To determine the starting volume of a gas whose volume changes to 852 ml with a temperature increase from 315 °C to 452 °C, Charles's Law is applied and temperatures are converted to Kelvin for the calculation.
Step-by-step explanation:
To find the starting volume of a gas when its volume is changed from an unknown value to 852 ml and the temperature is changed from 315 °C to 452 °C, we can use Charles's Law.
Charles's Law states that at constant pressure, the volume of a gas is directly proportional to its temperature in kelvins. First, we need to convert temperatures from Celsius to Kelvin by adding 273.15, so T1 = 315+273.15 K and T2 = 452+273.15 K. We are given the final volume V2 = 852 ml and need to solve for the starting volume V1.
Using the formula (V1/T1) = (V2/T2), where V1 is the starting volume and T1 and T2 are the temperatures in Kelvin, we calculate:
V1 = (V2 × T1) / T2
V1 = (852 ml × (315+273.15 K)) / (452+273.15 K)
By carrying out this calculation, we get the starting volume V1.