A fixed mass of gas has a volume of 92cm3 at 3 oC. When will be its volume at 18 oC if the pressure remains constant

Answer Details

The volume of a fixed mass of gas at constant pressure is directly proportional to its temperature, according to Charles's Law. Therefore, we can use the formula V1/T1 = V2/T2 to solve this problem, where V1 and T1 are the initial volume and temperature of the gas, respectively, and V2 and T2 are the final volume and temperature of the gas, respectively. We are given that the initial volume V1 is 92cm3 and the initial temperature T1 is 3 oC, which we need to convert to the absolute temperature scale (Kelvin). To do this, we simply add 273 to the Celsius temperature to get T1 = 276 K. We are also given that the pressure remains constant, which means that the gas is isobaric. Therefore, we can use the formula V1/T1 = V2/T2 to find the final volume V2. Rearranging the formula, we get: V2 = (V1/T1) x T2 Substituting the values we have, we get: V2 = (92/276) x (18+273) V2 = (1/3) x 291 V2 = 97.0 cm3 Therefore, the volume of the gas at 18 oC will be 97.0 cm3.