Answer to Question #340092 in Chemistry for ksusha peeples

Question

A gas occupies 19.3 L at STP. What volume will it occupy at 735 torr and 57°C?

Answer 1

Given:

STP (T = 273.15 K; P = 1 atm)

P₁ = 1 atm

V₁ = 19.3 L

T₁ = 273.15 K

P₂ = 735 torr × (1 atm / 760 torr) = 0.9671 atm

V₂ = unknown

T₂ = 57°C + 273.15 = 330.15 K

Solution:

Combined Gas Law can be used:

P₁V₁/T₁ = P₂V₂/T₂

Cross-multiply to clear the fractions:

P₁V₁T₂ = P₂V₂T₁

Divide to isolate V₂:

V₂ = (P₁V₁T₂) / (P₂T₁)

Plug in the numbers and solve for V₂:

V₂ = (1 atm × 19.3 L × 330.15 K) / (0.9671 atm × 273.15 K) = 24.1 L

V₂ = 24.1 L

Answer: 24.1 liters