Charles's law states that the volume of a gas is directly proportional to its temperature, when pressure is held constant.

This can be expressed as the equation:

V = k * T

Where V is the volume, T is the temperature, and k is a constant.

We can rearrange this equation to find the new volume:

V₂ = V₁ * T₂/T₁

Where V₁ and T₁ are the original volume and temperature, and V₂ and T₂ are the new volume and temperature.

Plugging in our values, we get:

V₂ = 4.5 L * (29°C + 273.15) / (14°C + 273.15)

= 4.89 L

Therefore, the new volume of the gas is 4.89 L.