Misalan tambayoyi game da halayen haɗin gwiwa na mafita
Halayen colligative na mafita sune halayen da suka dogara ne kawai akan adadin ƙwayoyin narkewa a cikin maganin, ba akan nau'in ko yanayin maganin ba. Akwai manyan nau'ikan halayen colligative guda huɗu: rage matsin lamba na tururi, ɗaga wurin tafasa, raguwar wurin daskarewa, da matsin lamba na osmotic. A cikin wannan labarin, za mu tattauna misalai da yawa na matsaloli kuma mu tattauna kowace halayya ta colligative na mafita.
1. Rage Matsi a Tsarin Tururi (Dokar Raoult)
Misalin matsalar:
Narke gram 18 na urea (NH2CONH2) a cikin gram 200 na ruwa. Menene raguwar matsin lamba na tururin maganin idan matsin lamba na tururin ruwan tsarki a wani zafin jiki ya kai 23.8 mmHg? (Molar mass na urea = 60 g/mol)
Tattaunawa:
Domin ƙididdige rage matsin lamba na tururi, dole ne mu ƙididdige ɓangaren mole na maganin.
1. Lissafa adadin moles na urea:
\[
\text{Adadin moles na urea} = \frac{18 \text{ g}}{60 \text{ g/mol}} = 0.3 \text{ mol}
\]
2. Lissafa adadin moles na ruwa:
\[
\text{Nauyin molar na ruwa} = 18 \text{ g/mol}
\]
\[
\text{Adadin moles na ruwa} = \frac{200 \text{ g}}{18 \text{ g/mol}} = 11.11 \text{ mol}
\]
3. Lissafa ɓangaren mole na maganin:
\[
x_{\text{urea}} = \frac{0.3 \text{ mol}}{0.3 \text{ mol} + 11.11 \text{ mol}} = 0.0265
\]
4. Rage matsin lamba na tururi:
\[
\Delta P = P_0 \cdot x_{\text{urea}} = 23.8 \text{ mmHg} \times 0.0265 = 0.63 \text{ mmHg}
\]
2. Tsawaita Wurin Tafasa
Misalin matsalar:
Menene girman tafasar ruwan da ke ɗauke da ruwan NaCl/kg na mol 1? Kf na ruwa shine 0.52 °C/m2.
Tattaunawa:
NaCl a cikin ruwan yana rabuwa zuwa ions 2 (Na+ da Cl-), don haka van 't Hoff factor (i) shine 2.
1. Lissafa molality na maganin (m):
\[
m = \frac{1 \text{ mol}}{1 \text{ kg}} = 1 \text{ m}
\]
2. Tashi daga wurin tafasa:
\[
\Delta T_b = i \cdot K_b \cdot m = 2 \cdot 0.52 \text{ °C/m} \cdot 1 \text{ m} = 1.04 \text{ °C}
\]
Don haka, ƙaruwar zafin ruwan da ke tafasa a cikin ruwan shine 1.04 °C.
3. Damuwa a Wurin Daskarewa
Misalin matsalar:
Lissafa ma'aunin daskarewa na maganin da ke ɗauke da 0.5 mol na glucose (C6H12O6)/kg na ruwa. Kf na ruwa shine 1.86 °C/m2.
Tattaunawa:
Glucose ba ya rabuwa a cikin ruwan magani, don haka van 't Hoff factor (i) shine 1.
1. Lissafa molality na maganin (m):
\[
m = \frac{0.5 \text{ mol}}{1 \text{ kg}} = 0.5 \text{ m}
\]
2. Damuwa a wurin daskarewa:
\[
\Delta T_f = i \cdot K_f \cdot m = 1 \cdot 1.86 \text{ °C/m} \cdot 0.5 \text{ m} = 0.93 \text{ °C}
\]
Don haka, rage zafin ruwan da ke cikin maganin shine 0.93 °C.
4. Matsi na Osmotic
Misalin matsalar:
Lissafa matsin lamba na osmotic na maganin urea na 0.1 M a 27 °C. (R = 0.0821 L·atm/K·mol)
Tattaunawa:
Ana iya ƙididdige matsin lamba na Osmotic (\(\pi\)) ta amfani da dabarar:
\[
\pi = MRT
\]
1. Canza zafin jiki zuwa Kelvin:
\[
T = 27 \rubutu{°C} + 273.15 = 300.15 \rubutu{ K}
\]
2. Lissafa matsin lamba na osmotic:
\[
\pi = 0.1 \rubutu{ M} \times 0.0821 \rubutu{ L·atm/K·mol} \times 300.15 \rubutu{ K}
\]
\[
\pi = 2.461 \rubutu{ atm}
\]
Don haka, matsin lamba na osmotic na maganin shine 2.461 atm.
Kammalawa
Halayen haɗin gwiwa na mafita suna ba da fahimta mai sauƙi amma mai ƙarfi game da yadda mafita ke aiki bisa ga adadin ƙwayoyin narkewa. Ta hanyar misalan da ke sama, za mu iya fahimtar yadda ake ƙididdige rage matsin lamba na tururi, ɗaga ma'aunin tafasa, raguwar ma'aunin daskarewa, da matsin lamba na osmotic na mafita. Da fatan, waɗannan bayanai da misalan suna da amfani wajen fahimtar manufar halayen haɗin gwiwa na mafita da aikace-aikacen su a rayuwar yau da kullun, hanyoyin masana'antu, da binciken kimiyya.
