A sample of helium occupies 1.40 L at 0 ° C and 760 torr. What pressure will the same gas exert in a 0.500 L vessel at 100 ° C? A) 371 torr B) 624 torr C) 1.56 × 10³ torr D) 2.91 × 10³ torr E) 4.05 × 10³ torr

Question

Quizplus · Accepted Answer

We can use the combined gas law to solve this problem:
P₁V₁/T₁ = P₂V₂/T₂
where P₁ = 760 torr, V₁ = 1.40 L, T₁ = 0 °C + 273.15 = 273.15 K
and V₂ = 0.500 L, T₂ = 100 °C + 273.15 = 373.15 K

Solving for P₂, we get:
P₂ = (P₁V₁T₂)/(V₂T₁) = (760 torr x 1.40 L x 373.15 K)/(0.500 L x 273.15 K) = 2908.22 torr

Rounding to two significant figures, we get:
P₂ = 2.9 × 10² torr = 2.91 × 10² torr

Therefore, the best choice is D, 2.91 × 10² torr.

A Sample of Helium Occupies 1