A syringe contains 0.65 moles of He gas that occupy 900.0 mL.What volume (in L)of gas will the syringe hold if 0.35 moles of Ne is added?

Question

Quizplus · Accepted Answer

We can use the ideal gas law to solve this problem:

PV = nRT

where P is pressure, V is volume, n is moles, R is the gas constant, and T is temperature. Assuming constant temperature and pressure, we can rearrange the equation to solve for V:

V = nRT/P

We are given n and V for the initial state of the syringe, so we can solve for the initial pressure:

P1 = n1RT/V1

We are also given n for the added Ne gas, but we need to find the final volume V2. We can use the final pressure P2 to solve for V2:

V2 = n2RT/P2

We can assume that the temperature and gas constant are constant throughout the process, so we can set P1V1 = P2V2 and solve for V2:

V2 = P1V1/P2 * n2/n1

Plugging in the numbers:

V2 = (0.65 mol * 0.08206 L*atm/K/mol * 298 K) / (1.00 atm) * (0.35 mol / 0.65 mol)

V2 = 1.422 L

Therefore, the answer is C) 1.4 L.

A Syringe Contains 0