Question

If 4.65 L of CO₂ gas at 20 °C at 793 mmHg is used, what is the final volume, in liters, of the gas at 33 °C and a pressure of 735 mmHg, if the amount of CO₂ does not change?

a) 4.21 L
b) 4.65 L
c) 5.10 L
d) 5.56 L

Answer 1

The final volume of the CO₂ gas is 5.10 L.

Step-by-step explanation:

The question involves applying the ideal gas law, which states that for an ideal gas, the product of the pressure, volume, and temperature is constant. In this case, the pressure and amount of CO₂ gas remain unchanged, so we can use the ideal gas law to find the final volume.

We can rearrange the ideal gas law equation PV = nRT to solve for the final volume V₂:

V₂ = (V₁ * T₂ * P₁) / (T₁ * P₂)

Plugging in the given values, we have:

V₂ = (4.65 * (33 + 273) * 793) / (20 + 273 * 735)

Calculating this expression gives us V₂ = 5.10 L.