Air at 0 degrees Celsius and a pressure of 0.1 MPa takes a volume of 1 liter.

Air at 0 degrees Celsius and a pressure of 0.1 MPa takes a volume of 1 liter. At what temperature its volume will be equal to 2 liters at a pressure of 0.2 MPa.

Given:

V = 1 l = 0.001 m3;

t = 0 ℃; Let’s translate into Kelvin (SI): T1 = 273 + 0 = 273 K;

p = 0.1 mPa = 0.0001 Pa;

V = 2 l = 0.002 m3;

p = 0.2 mPa = 0.0002 Pa;

Find: T2 -?

Decision:

We use the Clapeyron – Mendeleev formula:

(p1 * V1) / T1 = (p2 * V2) / T2;

Now let’s express T2:

T2 = (T1 * p2 * V2) / (p1 * V1);

Let’s calculate:

T2 = (273 * 0.4 * 10-9) / (0.1 * 10-9) = 1092 K;

Answer: T2 = 1092 Kelvin.