Question

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.

Answer 1

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