Answer: 4.75 L
Step-by-step explanation:
Given that:
Original Volume of gas V1 = 3.5L
Original Temperature T1 = 21.5°C
Convert Celsius to Kelvin
(21.5°C + 273 = 294.5K)
Original Pressure P1 = 571.2 torr
New temperature T2 = 6.8°C
Convert Celsius to Kelvin
(6.8°C + 273 = 279.8K)
New pressure = 400 torr
New Volume V2 = ?
Then, apply the combined gas equation
(P1V1)/T1 = (P2V2)/T2
(571.2 torr x 3.5L)/294.5K = (400 torr x V2)/279.8K
1999.2 / 294.5 = 400V2 / 279.8
To get V2, Cross multiply
1999.2 x 279.8 = 294.5 x 400V2
559376.16 = 117800V2
Divide both sides by 117800
559376.16/117800 = 117800V2/117800
4.75 L = V2
Thus, the new volume of the balloon at the top of the pikes peak is 4.75 liters