Question

A flexible container at an initial volume of 3.10 L contains 9.51 mol of gas. More gas is then added to the container until it reaches a final volume of 19.1 L . Assuming the pressure and temperature of the gas remain constant, calculate the number of moles of gas added to the container.

Answer 1

49.09 moles of gas are added to the container

Step-by-step explanation:

Step 1: Data given

Initial volume = 3.10 L

Number of moles gas = 9.51 moles

The final volume = 19.1 L

The pressure, temperature remain constant

Step 2: Calculate number of moles gas

V1/n1 = V2/n2

⇒with V1 = the initial volume of the gas = 3.10 L

⇒with n1 = the initial number of moles = 9.51 moles

⇒with V2 = the increased volume = 19.1 L

⇒with n2 = the final number of moles gas

3.10L / 9.51 moles = 19.1 L / n2

n2 = 58.6 moles

The new number of moles is 58.6

Step 3: calculate the number of moles gas added

Δn = 58.6 - 9.51 = 49.09 moles

49.09 moles of gas are added to the container