Question 1 Report
30 cm3 of oxygen at 10 atmosphere pressure is placed in a 20 dm3 container. Calculate the new pressure if the temperature is kept constant.
Answer Details
Given:
First, convert all volumes to the same units. Since 1 dm3dm3 is 1000 cm3cm3:
π2=20βdm3=20Γ1000βcm3=20000βcm3V2β=20dm3=20Γ1000cm3=20000cm3
Now, using Boyle's Law:
π1π1=π2π2P1βV1β=P2βV2β
Substitute the known values into the equation:
10Γ30=π2Γ2000010Γ30=P2βΓ20000
300=π2Γ20000300=P2βΓ20000
Solve for π2P2β:
π2=30020000P2β=20000300β
π2=0.015βatmospheresP2β=0.015atmospheres
Therefore, the new pressure if the temperature is kept constant is:
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