A gas has a volume of 100cm3 at 27oC. If it is heated to temperature T until a final volume of 120cm3 is attained, calculate T

Answer Details

This question can be solved using the gas laws, specifically Charles's law which states that at constant pressure, the volume of a fixed amount of gas is directly proportional to its absolute temperature. We are given that the initial volume of the gas is 100 cm^3 at a temperature of 27 degrees Celsius. We need to find the temperature T at which the final volume of 120 cm^3 is attained. Since the pressure is constant, we can use Charles's law to solve for T. First, we need to convert the initial temperature of 27 degrees Celsius to its absolute temperature (in kelvin). We do this by adding 273 to 27 to get 300K. Next, we use the formula for Charles's law: V1/T1 = V2/T2 where V1 is the initial volume (100 cm^3), T1 is the initial temperature in kelvin (300K), V2 is the final volume (120 cm^3), and T2 is the final temperature in kelvin (which we are solving for). Substituting the values, we get: 100/300 = 120/T2 Cross-multiplying and simplifying, we get: T2 = 120 x 300 / 100 = 360K Finally, we need to convert the temperature in kelvin back to degrees Celsius by subtracting 273. So the final answer is: T2 = 360 - 273 = 87°C Therefore, the answer is 87°C.