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4. A gas exerts a pressure of 7 kPa on the wall of the container. When

the container is emptied into a 15 L container, the pressure exerted by
the gas increases to 17 kPa. Find the volume of the first container.
Assume temperature stays constant.

User Catleeball
by
3.4k points

1 Answer

4 votes

Answer:

36 L

Step-by-step explanation:

Step 1: Given data

  • Volume of the 1st container (V₁): ?
  • Pressure of the gas in the 1st container (P₁): 7 kPa
  • Volume of the 2nd container (V₂): 15 L
  • Pressure of the gas n the 2nd container (P₂): 17 kPa

Step 2: Calculate the volume of the first container

If we assume ideal behavior and constant temperature, we can calculate the volume of the first container using Boyle's law.

P₁ × V₁ = P₂ × V₂

V₁ = P₂ × V₂ / P₁

V₁ = 17 kPa × 15 L / 7 kPa = 36 L

User Arnaudauroux
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