Ideal Gas Law Gas in a Piston Problem

AI Thread Summary
The problem involves a gas in a piston initially at 25 degrees Celsius and 4.0L volume, which expands when heated to 193 degrees Celsius. Using the Ideal Gas Law, the new volume is calculated after the pressure is increased to 4.3 atm. The equation P1V1/T1 = P2V2/T2 is applied, leading to a calculated volume of approximately 1.45L, rounded to 1.5L. The solution appears to be correct based on the calculations provided. This confirms the application of the Ideal Gas Law in determining the new volume under changing conditions.
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Homework Statement


A gas is in a piston which is at 25 degrees celsius with a volume 4.0L is held in a room at atmospheric pressure. If the temperature is increased to 193 degrees celsius, the piston expands to it's maximum volume. If the pressure in the room is then increased to 4.3 atm, what is the new volume of the piston (temperature remains at 193 degrees celsius)?

T1 = 25 = 298.15K

V1 = 4.00L

P1 = 1.000atm

P2 = 4.3 atm

T2 = 466.15K

V2 = ?


Homework Equations



P1V1 / T1 = P2V2 / T2

The Attempt at a Solution



P1V1 / T1 = P2V2 / T2

V2 = P1V1T2 / T1P2

V2 = (1.000atm)(4.0L)(466.15K) / (298.15K)(4.3atm)

= 1.45L
= 1.5L

Just want someone to check my solution
 
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Looks correct.
 
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