Question

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.

Answer 1

Answer:

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

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

Answer 2

what was the answer

Explanation: