Question

OFFERING 50 POINTS

If a balloon containing 1,200 L of gas at 25°C and 760 mmHg pressure ascends to an altitude where the pressure is 380 mmHg and the temperature is 54°C, the volume will be: (Be sure to use the correct number of significant figures.) 3.8 x 10 -4 L 2,200 L 660 L 2,600 L

Answer 1

2,600

Step-by-step explanation:

Answer 2

The volume will be 2600 L.

Step-by-step explanation:

Initial temperature (
`T_(1)`) = 25°C = (25 + 273) K = 298K

Final temperature (
`T_(2)`) = 54°C = (54 + 273) K = 327 K

By using the combined gas law equation,

`(P_(1) V_(1) )/(T_(1) )` =
`(P_(2) V_(2) )/(T_(2) )`

or,
`(760* 1200)/(298)` =
`(380* V_(2) )/(327)`

or, 3060 × 327 = 380 ×
`V_(2)`

or,
`V_(2)` ≈ 2600 L

Hence the volume of the balloon will be about 2600 L.