A steel scuba tank with an internal volume of is filled with air to a pressure of at…

CHEMISTRY · Multi-part · A Level · Chemistry · Amount of substance · Amount of substance

Problem

A steel scuba tank with an internal volume of

12.0\,\text{L}

is filled with air to a pressure of

2.00\times10^{7}\,\text{Pa}

at a temperature of

25\,^{\circ}\text{C}

. During a dive, the diver releases

1.20\times10^{3}\,\text{L}

of air (measured at

1.00\times10^{5}\,\text{Pa}

and

20\,^{\circ}\text{C}

) from the tank. After the dive, the remaining air in the tank warms to

45\,^{\circ}\text{C}

. Assume the composition of the air does not change and treat it as an ideal gas. The universal gas constant is

8.31\,\text{J mol}^{-1}\,\text{K}^{-1}

. (a) Calculate the initial number of moles of air in the scuba tank. (b) Determine how many moles of air were released during the dive. (c) Find the number of moles of air remaining in the tank after the dive. (d) Calculate the absolute pressure of the air remaining in the tank when its temperature reaches

45\,^{\circ}\text{C}

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