Answer:
≈0.134
Step-by-step explanation:
To find the number of moles of a gas, you can use the Ideal Gas Law, which is given by the equation
, where:
- P is the pressure,
- V is the volume,
- n is the number of moles,
- R is the ideal gas constant, and
- T is the temperature.
At standard temperature and pressure (STP), the pressure P is 1 atmosphere, the temperature T is 273.15 K, and the ideal gas constant R is 0.0821 L·atm/(mol·K).
Given that the volume V is 3.0 L, you can rearrange the equation to solve for the number of moles n:
![\[ n = (PV)/(RT) \]](https://img.qammunity.org/2024/formulas/chemistry/college/c5r86em4utp4bl7j1182kn28nnim0yirm2.png)
Substitute the values:
![\[ n = \frac{(1\ \text{atm})(3.0\ \text{L})}{(0.0821\ \text{L*atm/(mol*K)})(273.15\ \text{K})} \]](https://img.qammunity.org/2024/formulas/chemistry/college/nyl0vnzewvj86a7t37s35u6lxpt38vwju3.png)
Calculate this expression, and you should get approximately 0.134 moles.
So, at standard temperature and pressure, a gas with a volume of 3.0 L would contain approximately 0.134 moles.