A sample of oxygen, at 25°C, occupies a volume of 4.24 × 102 milliliters (mL) at 1.36 atm pressure. What pressure must be applied to compress the gas to a volume of 1.91 × 102 mL, with no temperature change?

Respuesta :

Answer:

3.02 atm

Explanation:

Step 1: Given data

  • Initial pressure (P₁): 1.36 atm
  • Initial volume (V₁): 4.24 × 10² mL
  • Initial temperature (T₁): 25 °C
  • Final pressure (P₂): ?
  • Final volume (V₂): 1.91 × 10² mL
  • Final temperature (T₂): 25 °C

Step 2: Find the final pressure

Since the temperature is constant, we can find the final pressure using Boyle's law.

[tex]P_1 \times V_1 = P_2 \times V_2\\P_2 = \frac{P_1 \times V_1}{V_2} = \frac{1.36atm \times 4.24 \times 10^{2}mL }{1.91 \times 10^{2}mL} = 3.02 atm[/tex]

Q&A Education