Answer to Question #343676 in General Chemistry for Ben

Question

A fixed mass of a gas occupies 100cm cubed ,at-15cm cubed and 650mmHg pressure at what temperature will it have a volume of 150cm cubed if the pressure is adjusted to 680 mmHg?

Answer 1

V₀ – initial volume = 100cm³ = 10dm³ = 10 l.

T₀ – initial temperature = -15°C = 258 K.

P₀ – initial pressure = 650 mm Hg.

V – final volume = 150cm³ = 15dm³ = 15 l.

P – final pressure = 680 mm Hg.

T – final temperature = ?

We derive the formula for finding T using the Mendeleev - Clapeyron equation:

PV = nRT –> n= PV/RT

n₀ = P₀ V₀ / RT₀

Since n = n0,

PV/RT = P₀V₀/RT₀ –> T= PVT₀/P₀V₀

T = PVT₀ /P₀V₀ = 680 * 15 * 258 / 650 * 10 =

= 2631600/6500= 404,86 K

404,86 K => 131,86°C

ANSWER: 131,86°C ≈ 132°C