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Question no. 15206

At constant pressure, to what temperature must a gas be heated so that its volume doubles compared to its volume at 0°C?

Select your answer for: At constant pressure, to what temperature must a gas be heated so that its volume doubles compared to its volume at 0°C?
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Answer: B. 546 K

Explanation

According to Charles's law, gas volume is directly proportional to its absolute temperature in Kelvin. To double the gas volume at constant pressure, the absolute temperature must also double in value. Starting at zero degrees Celsius which equals 273 Kelvin, doubling this temperature yields 546 Kelvin. Charles's law mathematically states that V divided by T remains constant for a fixed mass of gas. Absolute zero corresponds to zero Kelvin, below which temperatures cannot physically exist in nature. Converting Celsius to Kelvin requires adding 273.15 to the standard Celsius temperature measurement.

Hot air balloons operate on the principle that heating trapped air causes it to expand and rise. Engineers account for temperature-volume relationships when designing internal combustion engine cylinders. Meteorologists use gas laws to model atmospheric expansion and contraction patterns across different altitudes. Option A confuses Kelvin temperature doubling with Celsius scale doubling, which is chemically incorrect. Option C is wrong because 200 degrees Celsius does not represent a doubling of the absolute Kelvin temperature. Option D is incorrect because 273 Kelvin represents the initial temperature rather than the final doubled value.

Subject
Chemistry
Category
Chemistry
Topic
—
Difficulty
medium

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