Final answer:
To find the number of moles of carbon dioxide, we can use the ideal gas law equation PV = nRT. First, convert the given pressure from mmHg to atm and the volume from mL to L. Then, rearrange the ideal gas law equation to solve for n and plug in the values to find the number of moles.
Step-by-step explanation:
To find the number of moles of carbon dioxide, we can use the ideal gas law equation:
PV = nRT
Where:
- P = pressure in atm
- V = volume in L
- n = number of moles
- R = ideal gas constant
- T = temperature in Kelvin
First, we need to convert the given pressure from mmHg to atm:
P = (732.0 mmHg / 760 mmHg/atm) = 0.9632 atm
Next, let's convert the given volume from mL to L:
V = 125 mL / 1000 mL/L = 0.125 L
Now, we can rearrange the ideal gas law equation to solve for n:
n = PV / RT
Plugging in the values, we get:
n = (0.9632 atm)(0.125 L) / (0.0821 L atm/mol K)(23.0 + 273.15 K) = 4.90 x 10⁻³ mol
Therefore, 4.90 x 10⁻³ mol of carbon dioxide occupy a volume of 125 mL at a pressure of 732.0 mmHg and a temperature of 23.0°C.