High School

Calculate the volume of each gas at STP.

a. 2.30 L at 23°C and 740 mmHg
b. 320 mL at 13°C and 97.2 kPa
c. 100.5 mL at 35°C and 1.4 atm

Answer :

To calculate the volume of each gas at STP, convert the given conditions to STP conditions using the combined gas law. Then use the formula V2 = (P1 * V1 * T2) / (P2 * T1) to calculate the volume.

To calculate the volume of each gas at STP, we need to convert the given conditions to STP conditions which are 0°C (273 K) and 1 atm. We can use the combined gas law to do this:

  • a. V2 = (P1 * V1 * T2) / (P2 * T1) = (740 mmHg * 2.30 L * 273 K) / (760 mmHg * 296 K) = 1.81 L
  • b. V2 = (P1 * V1 * T2) / (P2 * T1) = (97.2 kPa * 320 mL * 286 K) / (101.3 kPa * 286 K) = 283 mL
  • c. V2 = (P1 * V1 * T2) / (P2 * T1) = (1.4 atm * 100.5 mL * 308 K) / (1 atm * 308 K) = 459 mL

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