Answer :
Using Boyle's Law, we calculated the new pressure of a balloon when its volume changes to be 8.2 atm
To find the new pressure of the balloon when the volume changes, we can use Boyle's Law. Boyle's Law states that the pressure of a gas times its volume is a constant when temperature and the amount of gas are held constant:
P1V1 = P2V2
Given:
- Initial volume (V1) = 6.2 liters
- Initial pressure (P1) = 3.3 atm
- Final volume (V2) = 2.5 liters
We need to find the final pressure (P2). Rearrange Boyle's Law to solve for P2:
P2 = (P1V1) / V2
Substitute the known values:
P2 = (3.3 atm * 6.2 liters) / 2.5 liters ≈ 8.2 atm
Therefore, the new pressure of the balloon is 8.2 atm.
Answer:
P₂ = 8.2 atm
Explanation:
Given data:
Final pressure = ?
Final volume = 2.5 L
Initial volume = 6.2 L
Initial pressure = 3.3 atm
Solution:
The given problem will be solved through the Boly's law,
"The volume of given amount of gas is inversely proportional to its pressure by keeping the temperature and number of moles constant"
Mathematical expression:
P₁V₁ = P₂V₂
P₁ = Initial pressure
V₁ = initial volume
P₂ = final pressure
V₂ = final volume
Now we will put the values in formula,
P₁V₁ = P₂V₂
3.3 atm × 6.2 L = P₂ × 2.5 L
P₂ = 20.46 atm. L/2.5 L
P₂ = 8.2 atm
