A compressed air tank carried by scuba divers has a volume of 8.0 L and a pressure of 140 atm at 20 °C. What is the volume of air in the tank in liters at STP?

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Step 1: Identify the given values. The volume (V1) is 8.0 L, the pressure (P1) is 140 atm, and the temperature (T1) is 20 °C. Convert the temperature to Kelvin by adding 273 to the Celsius temperature, so T1 = 293 K. The conditions at STP are a pressure (P2) of 1 atm and a temperature (T2) of 273 K.

Step 2: Use the combined gas law, which states that the ratio of the product of pressure and volume to temperature is constant for a given amount of gas. The formula is (P1*V1)/T1 = (P2*V2)/T2.

Step 3: Rearrange the formula to solve for the unknown volume at STP (V2). The rearranged formula is V2 = (P1*V1*T2) / (P2*T1).

Step 4: Substitute the given values into the formula. P1 is 140 atm, V1 is 8.0 L, T2 is 273 K, P2 is 1 atm, and T1 is 293 K.

Step 5: Calculate the value of V2. This will give you the volume of the air in the tank at STP in liters.

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