Question

Calculate the volume in litres (L) of 1.41 mol of gas at 68.0 kPa and 27.00 °C (gas constant R = 8.314 J mol K-.).

1. 664 L
2. 0.384L
3. 51.7L
4. 4.66L
5. 0.511L

Answer 1

3.) 51.7 L

Step-by-step explanation:

To find the volume, you need to use the Ideal Gas Law:

PV = nRT

In the equation,

-----> P = pressure (kPa)

-----> V = volume (L)

-----> n = moles

-----> R = Ideal Gas constant (8.314 kPa*L/mol*K)

-----> T = temperature (K)

First, you need to convert the temperature from Celsius to Kelvin. Then, you can plug the given values into the equation and simplify to find "V".

P = 68.0 kPa R = 8.314 kPa*L/mol*K

V = ? L T = 27.00 °C + 273 = 300 K

n = 1.41 moles

PV = nRT <----- Ideal Gas Law

(68.0 kPa)V = (1.41 moles)(8.314 kPa*L/mol*K)(300 K) <----- Insert values

(68.0 kPa)V = 3516.822 <----- Multiply right side

V = 51.7 <----- Divide both sides by 68.0