Ajụjụ na Mkparịta ụka gbasara Nsogbu Ndakpọ Oyi nke Ngwọta
Nsogbu ịda mbà n'obi bụ ihe dị oke mkpa na njikọta ihe ngwọta. Ọ dị oke mkpa n'ihi na ọ na-emetụta ọtụtụ usoro ihe ndị dị ndụ, kemịkalụ, na ụlọ ọrụ mmepụta ihe. Isiokwu a na-atụle ọtụtụ nsogbu ndị metụtara ịda mbà n'obi oyi ma na-enye mkparịta ụka zuru ezu iji mee ka echiche a doo anya.
Ịghọta Nsogbu Ọnọdụ Oyi
Nsogbu nke ebe oyi kpọnwụrụ akpọnwụ bụ ihe na-eme ka ebe oyi kpọnwụrụ akpọnwụ nke ihe mgbaze belata mgbe etinyere ihe mgbaze na ya. Mmetụta a bụ ihe na-akpata nsogbu nke ebe oyi kpọnwụrụ akpọnwụ, nke pụtara na ọnọdụ oyi kpọnwụrụ akpọnwụ dabere na ọnụọgụgụ ihe mgbaze dị na ngwọta ahụ, ọ bụghị na njirimara nke ihe mgbaze ahụ.
Usoro izugbe eji agbakọ ọnọdụ oyi bụ:
\[
\Delta T_f = K_f \cdot m
\]
Ebe:
– \(\Delta T_f\) bụ nsogbu nke isi oyi.
– \(K_f\) bụ ihe a na-ahụkarị n'ebe oyi na-atụ n'ime ihe mgbaze ahụ.
– \(m\) bụ molarity nke ngwọta (mole nke solute/kg nke ihe mgbaze).
Ajụjụ Ihe atụ nke Ịda Mbà n'Oké Ikpo Oyi
Ajụjụ nke Atọ
A maara:
– A na-eme ihe ngwọta site n'ịgbaze gram 5 nke NaCl (ibu molar = 58.5 g/mol) n'ime gram 200 nke mmiri.
– Ọnọdụ ịda mbà n'obi nke ebe oyi (K_f) nke mmiri bụ 1.86 °C•kg/mol.
Ajụjụ:
Gbakọọ ebe oyi na-atụ nke ngwọta a.
Azịza:
1. Gbakọọ molarity nke ngwọta (m):
Nke mbụ, anyị na-agbakọ ọnụọgụ nke moles nke NaCl:
\[
\text{mol NaCl} = \frac{\text{oke nke NaCl (g)}}{\text{oke molar (g/mol)}} = \frac{5 \text{ g}}{58.5 \text{ g/mol}} = 0.0855 \text{ mol}
\]
Mgbe ahụ, anyị na-agbakọ molality (mole nke solute/kg nke ihe mgbaze):
\[
\text{molarity} = \frac{\text{mol NaCl}}{\text{oke nke ihe mgbaze (kg)}} = \frac{0.0855 \text{mol}}{0.2 \text{ kg}} = 0.4275 \text{ m}
\]
2. Gbakọọ nsogbu nke ebe oyi kpọnwụrụ akpọnwụ (\(\Delta T_f\)):
\[
\Delta T_f = K_f \cdot m = 1.86 \ederede{ °C•kg/mol} \cdot 0.4275 \ederede{ m} = 0.79545 \ederede{ °C}
\]
Ya mere, ngwọta a ga-enweta oke oyi nke 0.79545 °C.
Ajụjụ nke Atọ
A maara:
– Mmiri nwere gram 10 nke glucose (C₆H₁₂O₆, ibu molar = 180 g/mol) nke a gbazere na gram 250 nke mmiri.
– Ọnọdụ ịda mbà n'obi maka mmiri bụ 1.86 °C•kg/mol.
Ajụjụ:
Kedu ihe bụ mbelata oyi nke ihe ngwọta glucose a?
Azịza:
1. Gbakọọ molarity nke ngwọta (m):
Nke mbụ, anyị na-agbakọ ọnụọgụ nke mole glucose:
\[
\text{mol glucose} = \frac{\text{oke glucose (g)}}{\text{molar weight (g/mol)}} = \frac{10 \text{ g}}{180 \text{ g/mol}} = 0.0556 \text{ mol}
\]
Mgbe ahụ, anyị na-agbakọ molality (mole nke solute/kg nke ihe mgbaze):
\[
\text{molarity} = \frac{\text{mol glucose}}{\text{oke nke ihe mgbaze (kg)}} = \frac{0.0556 \text{mol}}{0.25 \text{ kg}} = 0.2224 \text{ m}
\]
2. Gbakọọ nsogbu nke ebe oyi kpọnwụrụ akpọnwụ (\(\Delta T_f\)):
\[
\Delta T_f = K_f \cdot m = 1.86 \ederede{ °C•kg/mol} \cdot 0.2224 \ederede{ m} = 0.413664 \ederede{ °C}
\]
Ya mere, ihe ngwọta glucose ga-enwe mbelata ebe oyi nke 0.413664 °C.
Ajụjụ nke Atọ
A maara:
– A na-eme ihe ngwọta site n'ịgbaze gram 20 nke urea (NH₂CONH₂, ibu molar = 60 g/mol) na gram 500 nke mmiri.
– Ọnọdụ ịda mbà n'obi nke ebe oyi (K_f) nke mmiri bụ 1.86 °C•kg/mol.
Ajụjụ:
Gbakọọ ebe oyi na-atụ nke ngwọta a.
Azịza:
1. Gbakọọ molarity nke ngwọta (m):
Nke mbụ, anyị na-agbakọ ọnụọgụ nke mole urea:
\[
\text{mole urea} = \frac{\text{oke urea (g)}}{\text{oke molar (g/mol)}} = \frac{20 \text{ g}}{60 \text{ g/mol}} = 0.3333 \text{ mol}
\]
Mgbe ahụ, anyị na-agbakọ molality (mole nke solute/kg nke ihe mgbaze):
\[
\text{molarity} = \frac{\text{mol urea}}{\text{oke nke ihe mgbaze (kg)}} = \frac{0.3333 \text{mol}}{0.5 \text{ kg}} = 0.6666 \text{ m}
\]
2. Gbakọọ nsogbu nke ebe oyi kpọnwụrụ akpọnwụ (\(\Delta T_f\)):
\[
\Delta T_f = K_f \cdot m = 1.86 \ederede{ °C•kg/mol} \cdot 0.6666 \ederede{ m} = 1.240476 \ederede{ °C}
\]
Ya mere, ihe ngwọta ahụ ga-enweta nkwụsịtụ oyi nke 1.240476 ° C.
Ajụjụ nke Atọ
A maara:
– Mmiri ọgwụ nwere gram 15 nke acetic acid (CH₃COOH, ibu molar = 60 g/mol) nke a gbazere na gram 300 nke mmiri.
– Ọnọdụ ịda mbà n'obi nke ebe oyi (K_f) nke mmiri bụ 1.86 °C•kg/mol.
Ajụjụ:
Kedu ihe bụ mbelata oyi nke mmiri acetic acid a?
Azịza:
1. Gbakọọ molarity nke ngwọta (m):
Nke mbụ, anyị na-agbakọ ọnụọgụ nke mole nke acetic acid:
\[
\text{mol nke acetic acid} = \frac{\text{mass of acetic acid (g)}}{\text{molar weight (g/mol)}} = \frac{15 \text{ g}}{60 \text{ g/mol}} = 0.25 \text{ mol}
\]
Mgbe ahụ, anyị na-agbakọ molality (mole nke solute/kg nke ihe mgbaze):
\[
\text{molality} = \frac{\text{mol nke acetic acid}}{\text{oke nke ihe mgbaze (kg)}} = \frac{0.25 \text{mol}}{0.3 \text{ kg}} = 0.8333 \text{ m}
\]
2. Gbakọọ nsogbu nke ebe oyi kpọnwụrụ akpọnwụ (\(\Delta T_f\)):
\[
\Delta T_f = K_f \cdot m = 1.86 \ederede{ °C•kg/mol} \cdot 0.8333 \ederede{ m} = 1.55 \ederede{ °C}
\]
Ya mere, ihe ngwọta ahụ ga-enweta nkwụsịtụ oyi nke 1.55 ° C.
Mmechi
Nsogbu ịda mbà n'obi n'ebe oyi bụ ihe dị mkpa n'ọtụtụ ihe gbasara mmekọrịta mmadụ na ibe ya n'ọtụtụ ihe gbasara sayensị na ụlọ ọrụ mmepụta ihe. Site n'ịghọta otu esi agbakọ ịda mbà n'obi n'ebe oyi, anyị nwere ike ibu amụma etu ihe ngwọta dị iche iche ga-esi emetụta ebe oyi na-agba nke ngwọta. Isiokwu a atụleela ọtụtụ nsogbu atụ na otu esi agbakọ ịda mbà n'obi n'ebe oyi na-agba maka ngwọta, na-enye gị ntọala siri ike n'ịghọta echiche nke ịda mbà n'obi n'ebe oyi na-agba.
