Answer:
There are 2.2 moles of hydrogen.
Explanation:
The given information from the exercise is:
- Volume (V): 48.6L
- Temperature (T): 0°C (273K)
- Pressure (P): 1atm
1st) It is important to convert the temperature unit from °C to Kelvin:
[tex]0+273=273K[/tex]
This first step is very important, because all the units must be at atm, L and Kelvin, before using the Ideal Gases Law formula.
2nd) Now to calculate the moles of hydrogen, we hae to replace the values of V, T and P in the Ideal Gases Law formula:
[tex]\begin{gathered} P*V=n*R*T \\ 1atm*48.6L=n*0.082\frac{atm*L}{mol*K}*273K \\ 48.6atm*L=n*22.4\frac{atm*L}{mol} \\ \frac{48.6atm}{22.4\frac{atm*L}{mol}}=n \\ 2.2moles=n \end{gathered}[/tex]
R: is the gases constant, in its value is 0.082atm.L/mol.K.
So, there are 2.2 moles of hydrogen.
