Final Pressure of Toxic Gas in Cylinder

[roam]

Homework Statement

A high-pressure gas cylinder contains 20 ℓ of toxic gas at a pressure of 1.8 \times 10^7 Pa and a temperature of 24 °C. Its valve cracks when the cylinder is dropped. The cylinder is cooled to dry ice temperature (–78.5 °C) to reduce the leak rate and pressure so that it can be safely repaired.
What is the final pressure in the tank, assuming a negligible amount of gas leaks while being cooled and that there is no phase change?

Homework Equations

PV=nRT

The Attempt at a Solution

\frac{PV}{T}=nR

\frac{P_iV_i}{T_i}= \frac{P_fV_f}{T_f}

Because the problem says "a negligible amount of gas leaks", then the initial and final volumes of the gas are assumed to be equal, I will cancel the volumes

\frac{P_i}{T_i}=\frac{P_f}{T_f}

\frac{(1.8 \times 10^7)}{24}= \frac{P_f}{78.5}

P_f=\frac{(1.8 \times 10^7)}{24} 78.5= 58875000

But the correct answer to this problem has to be 11800000. Where is my the mistake?

 

[vela]

You need to convert the temperature to absolute temperatures.