Answer to Question #314513 in Chemistry for sael

Question

A 500.0 mL sample of nitrogen is warmed from 77.0 ˚C to 86.0 ˚C. Find its new volume if the pressure remains constant.

Answer 1

V₁ = 500.0 mL

T₁ = 77.0˚C + 273 = 350 K

P₁ = P₂ = constant

V₂ = unknown

T₂ = 86.0˚C + 273 = 359 K

Solution:

Since the pressure and amount of gas remain unchanged, Charles's law can be used.

Charles's gas law can be expressed as: V₁ / T₁ = V₂ / T₂

V₁T₂ = V₂T₁

To find the new volume, solve the equation for V₂:

V₂ = V₁T₂ / T₁

V₂ = (500.0 mL × 359 K) / (350 K) = 512.857 mL = 512.9 mL

V₂ = 512.9 mL

Answer: The new volume is 512.9 mL