Physics: Suppose you have a piston in a cylinder where the gas temperature is 26.0° c and has a volume of 1.75 l. what is the volume of the gas if you move the assembly to a cooler region with a temperature of 3.00° c? assume the gas pressure within the cylinder is constant. express your answer in l.

I’m pretty sure it’s -5 because on the graph that’s where the line intersects but I could be wrong if so I’m sorry...

Suppose you have a piston in a cylinder where the

aiti48

18.01.2022

1.62 L

Explanation:

Charle's law for ideal gases states that for a gas kept at constant pressure, the ratio between volume and temperature is constant:

$\frac{V_1}{T_1}=\frac{V_2}{T_2}$

where in this problem we have

V_1 = 1.75 L is the initial volume of the gas

$T_1 = 26.0^{\circ}+273=299 K$ is the initial temperature of the gas

V_2 is the final volume of the gas

$T_2 = 3.0^{\circ}+273=276 K$ is the final temperature

Solving the equation for V2, we find

$V_2 = \frac{V_1}{T_1} T_2 = \frac{1.75 L}{299 K}(276 K)=1.62 L$

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