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

Assessment: WAEC SSCE - Physics - 1993 (Objective) Subject: Physics

Question 1 Report

A gas has a volume of 546 cm3 at OoC. What is the volume of the gas at- 100oC 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 OoC, which is 273K. The final temperature is given as -100oC, 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 -100oC, assuming constant pressure, is 346 cm3. Hence, the correct option is: 346 cm3.

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