Answer
The final volume of the gas is 1.15 mL
Work Step by Step
The Charles gas law defines the relationship between temperature and volume. According to this, the volume of gas is directly proportional to its temperature at a constant pressure.
$\frac{V}{T}$ = constant
Therefore as the temperature of a gas increases the volume of the gas increases and as the temperature of a gas decreases the volume of the gas decreases.
For a gas, we can create two equations with $V_{1}$ as the initial volume of the gas and $V_{2}$ as the final volume of the gas.
$V_{1}$= 1.55 ml,
$T_{1}$= 368.3 K
$T_{2}$= 273 K.
$\frac{V_{1}}{T_{1}} = \frac{V_{2}}{T_{2}}$
rearrange the equation for $V_{2}$
$V_{2} = \frac{T_{2}V_{1}}{T_{1}}$
Plug in the values for the variables
$V_{2} = \frac{273 K \times 1.55 mL}{368.3 K}$
Solve using a calculator
$V_{2} = 1.15 mL$