Respuesta :
Answer:
The volume is 18,000mL.
Explanation:
The given information from the exercise is:
- C2H6 gas
- Mass: 30.0g
- Pressure: 960mmHg
- Temperature: 275K
1st) To calculate the volume it is necessary to use the Ideal Gas formula, making sure that the variables are in atm, liters, mole and Kelvin.
- Conversion of 960mmHg to atm:
[tex]960mmHg*\frac{1atm}{760mmHg}=1.26atm[/tex]- Conversion of 30.0g to moles, using the molar mass of C2H6 (30g/mol):
[tex]30.0g*\frac{1mole}{30g}=1mole[/tex]The number of mole is 1.
2nd) Now we can replace the values in the Ideal Gas formula to find the volume:
[tex]\begin{gathered} P*V=n*R*T \\ 1.26atm*V=1mol*0.082\frac{atm*L}{mol*K}*275K \\ 1.26atm*V=22.55atm*L \\ V=\frac{22.55atm*L}{1.26atm} \\ V=18.0L \end{gathered}[/tex]3rd) Finally, we have to convert the liters to mL:
[tex]18.0L*\frac{1000mL}{1L}=18,000ml[/tex]So, the volume is 18,000mL.
