\(\color{blue} \text{PV} = \text{nRT}\)
\(\text{P} = \text{tekanan gas (atm)}\) \(\text{V} = \text{volume wadah (liter)}\) \(\text{n} = \text{jumlah mol gas (mol)}\) \(\text{R} = \text{tetapan gas ideal 0,082 L.atm/mol.K }\) \(\text{T} = \text{suhu (kelvin)}\)CONTOH SOAL
Soal 1 Sebuah tabung dengan volume 4,1 liter diisi dengan gas oksigen. Jika tekanan gas dalam tabung 2 atm dan suhunya 27°C, tentukan massa gas oksigen dalam tabung tersebut. (Ar O = 16).
\(\text{PV} = \text{nRT}\)
\(2\text{ atm}\cdot 4,1 \text{ liter} = \text{n} \cdot (0,082 \text{ L.atm/mol. K}) \cdot (27 + 273 \text{K})\)
\(8,2 = \text{n} \cdot 0,082 \cdot 300\)
\(8,2 = \text{n} \cdot 24,6\)
\(\text{n} = \dfrac{8,2}{24,6} \text{ mol}\)
\(\text{n} = \dfrac{1}{3} \text{ mol}\)
Jumlah mol gas oksigen dalam tabung adalah \(\dfrac{1}{3} \text{ mol}\)
\(\text{n} = \dfrac{\text{massa oksigen}}{\text{Mr } \ce{O2}}\)
\(\dfrac{1}{3} = \dfrac{\text{massa oksigen}}{2\times 16}\)
\(\dfrac{1}{3} = \dfrac{\text{massa oksigen}}{32}\)
\(\text{massa oksigen} = \dfrac{32}{3} = 10,67 \text{ gram}\)
Jadi, massa gas oksigen dalam tabung tersebut adalah 10,67 gram
Gas metana = \(\ce{CH4}\)
\(\text{Mr } \ce{CH4} = 1\times \text{Ar C} + 4 \times \text{Ar H}\)
\(\text{Mr } \ce{CH4} = 1\times 12 + 4 \times 1\)
\(\text{Mr } \ce{CH4} = 16\)
\(\text{Tekanan } = 76 \text{ cmHg} = 1 \text{ atm}\)
\(\text{Volume } = 8200 \div 1000 \text{ liter} = 8,2 \text{ liter}\)
\(\text{Suhu } = 127 + 273 = 400 \text{ K}\)
\(\text{PV} = \text{nRT}\)
\(1\text{ atm}\cdot 8,2 \text{ liter} = \text{n} \cdot (0,082 \text{ L.atm/mol. K}) \cdot 400 \text{ K}\)
\(8,2 = \text{n} \cdot 0,082 \cdot 400\)
\(8,2 = \text{n} \cdot 32,8\)
\(\text{n} = \dfrac{8,2}{32,8} \text{ mol}\)
\(\text{n} = \dfrac{1}{4} \text{ mol}\)
Jumlah mol gas metana dalam tabung adalah \(\dfrac{1}{4} \text{ mol}\)
\(\text{n} = \dfrac{\text{massa metana}}{\text{Mr } \ce{CH4}}\)
\(\dfrac{1}{4} = \dfrac{\text{massa metana}}{16}\)
\(\text{massa metana} = \dfrac{16}{4} = 4\text{ gram}\)
Jadi, massa gas metana dalam tabung tersebut adalah 4 gram