Question

A known volume of ideal gas is contained in a cylinder fitted with a piston and held at constant pressure. If the temperature changes from 25oC to 200 oC, by what factor does the volume change

Answer 1

Considering the Charles's Law, the volume change by a factor of $\frac{473 }{298 }$ or 1.587.

What is Charles's Law

Charles's Law consists of the relationship that exists between the volume and the temperature of a certain amount of ideal gas, which is maintained at a constant pressure, by means of a proportionality constant that is applied directly.

In other words, Charles' law states that the volume is directly proportional to the temperature of the gas: if the temperature increases, the volume of the gas increases: while if the temperature of the gas decreases, the volume decreases.

Mathematically, Charles's law is a law that says that when the amount of gas and pressure remain constant, the ratio between volume and temperature will always have the same value:

$\frac{V}{T} =k$

Considering an initial state 1 and a final state 2, it is true that:

$\frac{V1}{T1} =\frac{V2}{T2}$

This case

In this case, you know:

• T1= 25 °C= 298 K
• T2= 200 °C= 473 K

Replacing in Charles's law:

$\frac{V1}{298 K} =\frac{V2}{473 K}$

Solving:

V2=$473\frac{V1}{298 K}$

V2=$\frac{473 K}{298 K}V1$= 1.587 V1

Finally, the volume change by a factor of $\frac{473 }{298 }$ or 1.587.

Learn more about Charles's law:

https://brainly.com/question/4147359

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