Final answer:
When a gas is heated, its volume increases. This relationship is described by Charles's Law, which states that the volume of a gas is directly proportional to its temperature, assuming constant pressure. By using the formula V2 = (T2/T1) * V1, where V1 is the initial volume, T1 is the initial temperature in Kelvin, and T2 is the final temperature in Kelvin, you can calculate the final volume of the gas.
Step-by-step explanation:
When a gas is heated, its volume increases. This relationship between volume and temperature is described by Charles's Law, which states that the volume of a gas is directly proportional to its temperature, assuming constant pressure. So, to find the volume of the gas at a new temperature, you can use the formula:
V2 = (T2/T1) * V1
Where V1 represents the initial volume, T1 represents the initial temperature in Kelvin, V2 represents the final volume, and T2 represents the final temperature in Kelvin.
In this case, the gas initially occupies a volume of 900.0 mL at a temperature of 27.0°C. To find the final volume, you need to convert the temperature to Kelvin using the equation T(K) = T(°C) + 273.15, which gives 27.0°C + 273.15 = 300.15 K. Plugging the values into the formula:
V2 = (T2/T1) * V1 = (300.15 K / 273.15 K) * 900.0 mL = 985.71 mL.