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If i have a 50 liter container that holds 45 moles of gas at a temperature of 200 degrees C, what is the pressure inside the container? Step by step answer please.

Respuesta :

Answer:

34.91 atm

Explanation:

Step 1:

Data obtained from the question include:

Volume (V) = 50L

Number of mole (n) = 45 moles

Temperature (T) = 200°C

Pressure (P) =?

Note: Gas constant (R) = 0.082atm.L/Kmol

Step 2:

Conversion of celsius temperature to Kelvin temperature.

T (K) = T (°C) + 273

T (°C) = 200°C

T (K) = 200°C + 273

T (K) = 473K

Step 3:

Determination of the pressure.

The pressure inside the container can be obtained by using the ideal gas equation as follow:

PV = nRT

Divide both side V

P= nRT / V

P = (45 x 0.082 x 473) / 50

P = 34.91 atm

Therefore, the pressure inside the container is 34.91 atm

The pressure inside a 50 liter container that holds 45 moles of gas at a temperature of 200 degrees is 34.90 atm.

What is ideal gas equation?

Ideal gas equation is a hypothesis which shows the behavior of gas at different conditions and it will be represented as:

PV = nRT, where

P = pressure of gas = to find?

V = volume of the container = 50 L

n = moles of gas = 45 moles

R = universal gas constant = 0.082atm.L/Kmol

T = temperature = 473 K

On putting all these values on the above equation, we get

P = (45)(0.082)(473) / (50)

P = 34.90 atm

Hence required pressure is 34.90 atm.

To know more about ideal gas equation, visit the below link:

https://brainly.com/question/20348074

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