A certain mass of gas at 40°C has a volume of 34 liters and a pressure of 1700 mm Hg. It is compressed to a volume of 15 liters and a pressure of 3000 mm Hg. What is the final temperature?

Respuesta :

Answer:

-29°C

Explanation:

The ideal gas law says that the pressure and volume of a gas are directly proportional to the mass and temperature. Knowing that the mass of the gas is constant, we can use the ideal gas law to find the final temperature.

The ideal gas law is:

PV = nRT

Dividing both sides by temperature:

PV / T = nR

Since mass is constant, we can say:

P₁V₁ / T₁ = P₂V₂ / T₂

Plug in values, making sure to use absolute temperature.

(1700 mm Hg) (34 L) / (40 + 273 K) = (3000 mm Hg) (15 L) / T

T = 244 K

T = -29°C

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