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) 846 torr
B) 0.118 torr
C) 5.26 × torr
D) 526 torr
E) 1.11 torr

Question

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) 846 torr 
B) 0.118 torr 
C) 5.26 × torr 
D) 526 torr 
E) 1.11 torr

Quizplus · Accepted Answer

Using Boyle's law: P₁V₁ = P₂V₂
where P₁ = 667 torr, V₁ = 10.0 L, V₂ = 7.88 L and T = 25.0°C = 298 K
so, P₂ = (P₁V₁)/V₂ 
    = (667 torr x 10.0 L)/7.88 L 
    = 846 torr (rounded to three significant figures)

A Fixed Amount of Gas at 25