Question

A balloon that contains 4.80 g of carbon dioxide gas has a volume of 12.0 L. Assume

that the pressure and temperature of the balloon remain constant. What is the new
volume of the balloon if an additional 0.50 mol of CO₂ is added? [ans: 67 L]

Answer 1

the new volume of the balloon after 0.50 mol of CO2 is added is 67 L.

Step-by-step explanation:

To solve this problem, we need to use the ideal gas law, which states that the pressure of a gas is directly proportional to its temperature and number of moles, and inversely proportional to its volume. This relationship can be written as:

PV = nRT

Where P is the pressure of the gas, V is the volume of the gas, n is the number of moles of the gas, R is the ideal gas constant, and T is the temperature of the gas.

In this problem, the pressure, temperature, and number of moles of the gas all remain constant, so we can rearrange the ideal gas law to solve for the volume of the gas:

V = nRT/P

Plugging in the given values, we find that the volume of the gas is:

V = (0.50 mol CO2)(0.08206 Latm/molK)(298 K)/(1 atm)

V = 67 L