Use the worked example above to help you solve this problem. An ideal gas at $25\mathrm{.}7$C and a pressure $1\mathrm{.}40105$ Pa is in a container having a volume of $1\mathrm{.}00$ L$.$

$($a$)$

Determine the number of moles of gas in the container.

Your response is within $10\%$ of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four$-$digit accuracy to minimize roundoff error. mol

$($b$)$

The gas pushes against a piston, expanding to twice its original volume, while the pressure falls to atmospheric pressure. Find the final temperature.

Your response is within $10\%$ of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four$-$digit accuracy to minimize roundoff error.K

Exercise

Suppose the temperature of $4\mathrm{.}54$ L of ideal gas drops from $380$ K to $275$ K$.$

$($a$)$

If the volume remains constant and the initial pressure is atmospheric pressure, find the final pressure.