Respuesta :
Answer: 2.74 litres
Explanation:
Given that,
Original pressure of balloon (P1) = 100.0 kPa
Original volume of balloon (V1) = 2.29 litres
New pressure of balloon (P2) = 83.5 kPa
New volume of balloon (V2) = ?
Since pressure and volume are given while temperature is held constant, apply the formula for Boyle's law
P1V1 = P2V2
100 kPa x 2.29 L = 83.5 kPa x V2
229 kPa•L = 83.5 kPa•V2
Divide both sides by 83.5 kPa
229 kPa•L/83.5 kPa = 83.5 kPa•V2/ 83.5 kPa
2.74 L = V2
Thus, the new volume of the balloon is 2.74 litres
The new volume of the balloon is 1.9 liters
The parameters given in the question are;
pressure 1= 100 kPa
pressure2= 83.5 kPa
Volume 1= 2.29 liters
P1/V1= P2/V2
100/2.29= 83.5/V2
Cross multiply
100 V2= 83.5 × 2.29
100 V2= 191.215
V2= 191.215/100
V2= 1.91 liters
Hence the new volume is 1.91 liters
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