In a closed system, if the temperature of an ideal gas is doubled while keeping the pressure constant, what happens to its volume?

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Q: In a closed system, if the temperature of an ideal gas is doubled while keeping the pressure constant, what happens to its volume?

Solution: According to Charles's Law, V1/T1 = V2/T2. If T2 = 2T1, then V2 = 2V1.

Steps: 8

Step 1: Understand that we are dealing with an ideal gas in a closed system.
Step 2: Remember that we need to keep the pressure constant while changing the temperature.
Step 3: Recall Charles's Law, which states that the volume of a gas is directly proportional to its temperature when pressure is constant.
Step 4: Write down Charles's Law formula: V1/T1 = V2/T2.
Step 5: Identify the initial temperature (T1) and the new temperature (T2). If T2 is double T1, then T2 = 2T1.
Step 6: Substitute T2 into the formula: V1/T1 = V2/(2T1).
Step 7: Rearrange the equation to find V2: V2 = 2 * V1.
Step 8: Conclude that if the temperature is doubled, the volume also doubles.