Question

A 16.0 L gas cylinder has been filled with 6.00 moles of gas. You measure the pressure to be 5.00 atm. What is thetemperature inside the tank?Express your answer to three significant figures and include the appropriate units.View Available Hint(s)

Answer 1

To solve this question we must use the ideal gas law:

$PV=nRT$

Where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant and T is the temperature (in kelvin degrees).

Solve the equation for T and replace for the given values. Remember that R has a value of 0.082atmL/molK:

$\begin{gathered} T=\frac{PV}{nR} \\ T=\frac{5.00atm\cdot16.0L}{6.00mol\cdot\frac{0.082atmL}{molK}}=163K \end{gathered}$

The temperature inside the tank is 163K.