Answer:
a) 0.15 mol.
b) 8.95 g.
Step-by-step explanation:
Hello there!
In this case, according to the given information, it is possible for us to infer this problem is solved by using the ideal gas equation:
![PV=nRT](https://img.qammunity.org/2022/formulas/chemistry/college/l2pqkhgkpcodjq9yp3388rp2axpnootecr.png)
And proceed as follows:
a) Here, we solve for the moles, n, as follows:
![n=(PV)/(RT) \\\\n=(0.50atm*4.5L)/(0.08206(atm*L)/(mol*K)*178K) \\\\n=0.15mol](https://img.qammunity.org/2022/formulas/chemistry/college/i77fu6stwtkmmn1ywydqzimp5qcyphxowg.png)
b) for the calculation of the mass, we recall the molar mass of butane, 58.12 g/mol, to obtain:
![0.15mol*(58.12g)/(1mol) =8.95g](https://img.qammunity.org/2022/formulas/chemistry/college/7rsiirn5qmx6eyjpg0b78i79z66rf8dpm0.png)
Regards!