What would be the volume in liters of an ideal gas, if a 0.111 mole sample of the gas had a temperature of 1130 degrees celsius at a pressure of 5.45 atmospheres? (the ideal gas constant is 0.0821 l•atm/mol•k.)

0.43 liters

1.43 liters

1.89 liters

2.35 liters

Option (d) is the correct answer.

Explanation:

The given data is as follows.

      n = 0.111 mole,           T = 1130 degrees Celsius = 1130 + 273 = 1403 K

       P = 5.45 atm,            V = ?

       R = 0.0821 L atm/mol K

Using the ideal gas equation, we can calculate the volume as follows.

                                    PV = nRT

 or,                                V =

                                         =

                                         =

                                         =  2.346 L

or,                                     = 2.35 L (approx)

Thus, we can conclude that volume of the ideal gas is 2.35 liters.

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