Question

Calculate the volume of a 0.0914 mol sample of gas which has a pressure of 39.6 at 588K. Make sure you note the units provided.

a. 1.631×10²ml
b. 1.128×10⁴ml
c. 1.114×10²ml
d. 1.746×10⁵ml
e. 2.091×10⁻²ml

Answer 1

To find the volume of a gas using the Ideal Gas Law, we must multiply the amount of gas in moles (0.0914 mol) by the ideal gas constant (0.08206 L-atm/mol-K) and the absolute temperature (588 K), and then divide this product by the pressure (39.6 atm).

Step-by-step explanation:

The question asks to calculate the volume of a gas given the amount in moles, pressure, and temperature using the Ideal Gas Law, which is PV = nRT.

Given:
n = 0.0914 mol
P = 39.6 atm
T = 588 K
R = 0.08206 L-atm/mol-K (Ideal Gas Constant)

Plugging these values into the Ideal Gas Law:

V = \(\frac{nRT}{P}\) = \(\frac{0.0914 \, \text{mol} \times 0.08206 \, \text{L-atm/mol-K} \times 588 \, \text{K}}{39.6 \, \text{atm}}\)

Upon calculating, we get a value for the volume which can be converted to the desired units of milliliters (mL) as 1 L = 1000 mL.

The correct answer option that matches the calculated volume in mL needs to be selected from the given choices.