A container holds 500 mL of oxygen gas at a pressure of 1.3 atm and a temperature of 25 ˚C. If the temperature increases to 29 ˚C and the pressure increases to 2.0 atm, will the volume of the gas increase or decrease? What is the final volume of the gas in liters (L)?

Respuesta :

Answer:

The new volume of the gas is decreased, to 0.329 L

Explanation:

Step 1: Data given

Volume of oxygen = 500 mL = 0.500 L

Pressure = 1.3 atm

Temperature = 25.0 °C

Temperature increases to 29.0 °C

New pressure = 2.0 atm

Step 2: Calculate new volume

p1*V1/T1 = p2*V2/T2

⇒with p1 = the initial pressure = 1.3 atm

⇒with V1 = the initial volume = 0.500L

⇒with T1 = the initial temperature = 25 °C = 298 K

⇒with p2 = the new pressure = 2.0 atm

⇒with V2 = the new volume = TO BE DETERMINED

⇒with T2 = the new temperature = 29 °C = 302 K

(1.3 * 0.500)/298 = (2.0 * V2) /302

0.0021812 = 2.0V2 / 302

V2 = 0.329 L = 329 mL

The new volume of the gas is decreased, to 0.329 L