A gas has a volume of 546 cm3 at OoC. What is the volume of the gas at- 100oC if its pressure remains constant?

A gas has a volume of 546 cm³ at O^oC. What is the volume of the gas at- 100^oC if its pressure remains constant?

Answer Details

This question relates to the effect of temperature on the volume of a gas. According to Charles's law, at constant pressure, the volume of a gas is directly proportional to its absolute temperature. This means that as the temperature of a gas increases, its volume increases proportionally, and vice versa. In this question, the initial volume of the gas is given as 546 cm³ at O^oC, which is 273K. The final temperature is given as -100^oC, which is 173K. Since the pressure of the gas remains constant, we can use the formula V1/T1 = V2/T2 to find the final volume (V2) of the gas at the new temperature. Substituting the given values in the formula, we have: V1/T1 = V2/T2 546/273 = V2/173 Cross-multiplying, we get: V2 = 546 x 173/273 = 346 cm³ Therefore, the final volume of the gas at -100^oC, assuming constant pressure, is 346 cm³. Hence, the correct option is: 346 cm³.