Question

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.)

Answer 1

The number of significant figures is 2.

The formula to use is [p1*V1 / T1] = [p2*V2 / T2] => V2 = p1*V1*T2 / [T1*p2]

V1 = 1200 L
T1 = 25 °C + 273.15 = 298.15 k
p1 = 760 mmHg

p2 = 380 mmHg
T2 = 54° C + 273.15 = 327.15 k

V2 = 2633.44 L = 2600 L (using 2 significant figures)