If the volume of a given mass of gas at 0oC is 27.3cm3, what will be the volume of the gas at 10oC, pressure remaining constant?

Answer Details

The volume of a gas is directly proportional to its temperature, provided the pressure and the amount of gas remain constant. This relationship is known as Charles's law. According to Charles's law, when the temperature of a gas is increased, its volume will also increase, and when the temperature of a gas is decreased, its volume will also decrease. In this case, the initial volume of the gas is 27.3cm³ at 0^oC. If the temperature is increased to 10^oC while the pressure remains constant, we can use Charles's law to calculate the new volume of the gas. Charles's law states that the ratio of the initial volume to the initial temperature is equal to the ratio of the final volume to the final temperature. In other words: (V1 / T1) = (V2 / T2) Where: V1 = initial volume T1 = initial temperature V2 = final volume (unknown) T2 = final temperature Substituting the given values, we have: (27.3 / 273) = (V2 / 283) Solving for V2, we get: V2 = (27.3 / 273) x 283 V2 ≈ 28.3cm³ Therefore, the volume of the gas at 10^oC, pressure remaining constant, is approximately 28.3cm³. Hence, the correct option is (ii) 28.3cm³.