Question

Solid sodium carbonate, Na2CO3, reacts with sulfuric acid, H2SO4, to produce CO2 gas according to the following equation: Na2CO3(s) + H2SO4(aq) →CO2(g) + H2O(l) + Na2SO4(aq) During an experiment to produce carbon dioxide gas, a student recorded the following data: P CO2 = 708.1 mm Hg V CO2 = 29.65 mL T CO2= 25.5 °C How many moles of CO2 were produced?

Answer 1

To find the number of moles of CO2 produced, use the ideal gas law equation: PV = nRT. Given the pressure, volume, and temperature of the CO2 gas, rearrange the equation to solve for n, the number of moles. Convert the units to calculate the number of moles of CO2 produced.

Step-by-step explanation:

To find the number of moles of CO2 produced, we can use the ideal gas law equation: PV = nRT. Given that we have the pressure (P CO2 = 708.1 mm Hg), volume (V CO2 = 29.65 mL), and temperature (T CO2 = 25.5 °C) of the CO2 gas, we can rearrange the equation to solve for n, the number of moles. First, we need to convert the pressure from mm Hg to atm and the volume from mL to L:

P CO2 = 708.1 mm Hg x (1 atm / 760 mm Hg) = 0.9315 atm

V CO2 = 29.65 mL x (1 L / 1000 mL) = 0.02965 L

Now we can plug the values into the equation:

n = (P CO2 x V CO2) / (R x T CO2)

Using the ideal gas constant R = 0.0821 L·atm/mol·K, we can calculate:

n = (0.9315 atm x 0.02965 L) / (0.0821 L·atm/mol·K x (25.5 + 273) K)

n = 0.0247 moles of CO2

Answer 2

We can simply calculate for the number of moles CO2 produced by assuming that the gas is an ideal gas. Therefore, can be described by the equation:

PV = nRT

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

PV = nRT
(708.1/760)(.02965) = n(0.08205)(25.5+273.15)
n = 0.00113 mol CO2 produced