A fixed amount of gas at 25.0 °C occupies a volume of 10.0 L when the pressure is 667 torr. Use Boyle's law to calculate the pressure (torr) when the volume is reduced to 7.88 L at a constant temperature of 25.0 °C. A) 526 B) 5.26 × 10⁴ C) 1.11 D) 846 E) 0.118

Question

Quizplus · Accepted Answer

Using Boyle's Law: P1V1 = P2V2
P1 = 667 torr
V1 = 10.0 L 
V2 = 7.88 L
T = 25.0 °C = 298 K (constant temperature)
 
Substituting the values in the formula:
P2 = (P1V1)/V2
P2 = (667 torr x 10.0 L)/7.88 L
P2 = 845.84 ≈ 846 torr

Thus, the pressure when the volume is reduced to 7.88 L at a constant temperature of 25.0 °C is 846 torr. Hence, the best choice is (D).

A Fixed Amount of Gas at 25