The volume of a gas is increased six times the original volume by heating it. If the original temperature of the gas was 27^circ C, what is the final temperature of the gas ? 1200^circ C 1800^circ C 1527^circ C 1500^circ C

## Step 1: Identify the LawThe problem is about the relationship between the volume and temperature of a gas, which is described by Charles's Law. Charles's Law states that the volume of a gas is directly proportional to its absolute temperature, assuming the pressure remains constant.## Step 2: Use the FormulaTo find the final temperature, we can use the formula: where is the initial volume, is the initial temperature, is the final volume, and is the final temperature.## Step 3: Convert Temperature to KelvinGiven that is the original volume and is six times the original volume, and is , we need to convert this to Kelvin by adding 273.15, which gives: ## Step 4: Substitute Values and SolveSubstituting the given values into the formula, we get: Solving this equation for , we get: ## Step 5: Convert Back to CelsiusFinally, we convert this back to Celsius by subtracting 273.15 from : which is approximately .#