Gas Compression at STP: New Pressure Calculation

What is the new pressure of the gas after compression?

Given data:

Vo (initial volume) = 1.00 L

V (final volume) = 473 mL → 0.473 L

Po (initial pressure) = 1 atm (STP)

P (final pressure) = ? (in atm)

Answer:

The new pressure of the gas is 2.11 atm.

When 1.00 L of a gas at STP is compressed to 473 mL, the new pressure can be calculated using the Boyle-Mariotte equation:

P0*V0 = P*V

1*1 = P*0.473

1 = 0.473*P

0.473*P = 1

P = 1/0.473

Therefore, P ≈ 2.11 atm, which is the new pressure of the gas.

STP stands for Standard Temperature and Pressure, which refers to nominal conditions in the atmosphere at sea level. In this case, the initial pressure was 1 atm.

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