Question

24. Correct increasing order of osmotic pressure for the following is
(1) Sucrose(0.1 M) < glucose(0.5 M) < urea(1M) < NaCl(2M)
(2) Glucose(0.5 M) < urea(1M) < NaCl(2M) < Sucrose(0.1 M)
(3) Urea(1M) < NaCl(2M) < glucose(0.5 M) < Sucrose(0.1 M)
(4) NaCl(2M) < sucrose(0.1 M) < glucose(0.5 M) < urea(1M)​

Answer 1

ANSWER:

• Increasing order of osmotic pressure is Sucrose(0.1 M) < Glucose(0.5 M) < Urea(1 M) < NaCl(2 M)

GIVEN:

• 0.1 M Sucrose.

• 0.5 M Glucose.

• 1 M Urea.

• 2 M NaCl.

TO FIND:

• Increasing order of osmotic pressure.

EXPLANATION:

$\blue{\boxed{ \boldsymbol{\large{\pink{\pi= iCRT}}}}}$

Sucrose:

• i = 1

• C = 0.1 M

→ π = 1(0.1)RT

→ π = 0.1 × RT

Glucose:

• i = 1

• C = 0.5 M

→ π = 1(0.5)RT

→ π = 0.5 × RT

Urea:

• i = 1

• C = 1 M

→ π = 1(1)RT

→ π = RT

NaCl:

• i = 2

• C = 2 M

→ π = 2(2)RT

→ π = 4RT

Correct increasing order of osmotic pressure is Sucrose(0.1 M) < glucose(0.5 M) < urea(1M) < NaCl(2M)

Answer 2

Given that , 0.1 M ( Mole ) of Sucrose , 0.5 M ( Mole ) of Gulucose , 1 M ( Mole ) of Urea & 2 M of NaCl .

Need To Find : Increasing order of osmotic pressure ?

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

As , We know that ,

⠀⠀⠀⠀▪︎⠀Formula for OSMOTIC PRESSURE :

$\qquad \dag\:\:\bigg\lgroup \pmb{\sf{\:\:\: \pi \:=\: \:i\:C\:R\:T \:\:\: }}\bigg\rgroup$

⠀⠀⠀⠀⠀Where,

• π is the Osmotic Pressure .
• i is Vant's off index .
• C is molar concentration of solute in solution .
• R is the Universal gas constant .
• T is the Temperature in Kelvin .

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

$\qquad \qquad \underline {\mathbb{\gray{\:\bigstar \:\: OSMOTIC \:\: PRESSURE \: \: OF \:GIVEN \:\:\::\:}}}$

$\qquad \underline {\underline { \purple {\bf { \:\maltese \: Sucrose\:\:(\:0.1\:M \:) \:: \:}}}}$

$\qquad \dashrightarrow \sf \:\:\: \pi \:=\: \:i\:C\:R\:T \:\:\:$

• i or Vant's off index of Sucrose is 1 &
• C or molar Concentration of Sucrose is 0.1 M ( Mole ) .

$\qquad \dashrightarrow \sf \:\:\: \pi \:=\: \:i\:C\:R\:T \:\:\:$

$\qquad \dashrightarrow \sf \:\:\: \pi \:=\: \:1\:(0.1)\:R\:T \:\:\:$

$\qquad \dashrightarrow \sf \:\:\: \pi \:=\: \:0.1\:R\:T \:\:\:$

$\qquad \dashrightarrow \underline {\boxed{\pink{\pmb{\frak{\:\:\: \pi\:(\:or \:Osmotic \:Pressure \:)\:=\: \:0.1\:R\:T \:\:\:}}}}}\:\:\bigstar$

• Osmotic Pressure of 0.1 M of Sucrose is 0.1 RT .

$\qquad \underline {\underline { \purple {\bf {\:\maltese \: Gulucose\:\:(\:0.5\:M \:) \:: \:}}}}$

$\qquad \dashrightarrow \sf \:\:\: \pi \:=\: \:i\:C\:R\:T \:\:\:$

• i or Vant's off index of Gulucose is 1 &
• C or molar Concentration of Gulucose is 0.5 M ( Mole ) .

$\qquad \dashrightarrow \sf \:\:\: \pi \:=\: \:i\:C\:R\:T \:\:\:$

$\qquad \dashrightarrow \sf \:\:\: \pi \:=\: \:1\:(0.5)\:R\:T \:\:\:$

$\qquad \dashrightarrow \sf \:\:\: \pi \:=\: \:0.5\:R\:T \:\:\:$

$\qquad \dashrightarrow \underline {\boxed{\pink{\pmb{\frak{\:\:\: \pi \:(\:or \:Osmotic \:Pressure \:)\:\:=\: \:0.5\:R\:T \:\:\:}}}}}\:\:\bigstar$

• Osmotic Pressure of 0.5 M of Gulucose is 0.5 RT .

$\qquad \underline {\underline { \purple {\bf {\:\maltese \: Urea\:\:(\:1\:M \:) \:: \:}}}}$

$\qquad \dashrightarrow \sf \:\:\: \pi \:=\: \:i\:C\:R\:T \:\:\:$

• i or Vant's off index of Gulucose is 1 &
• C or molar Concentration of Gulucose is 1 M ( Mole ) .

$\qquad \dashrightarrow \sf \:\:\: \pi \:=\: \:i\:C\:R\:T \:\:\:$

$\qquad \dashrightarrow \sf \:\:\: \pi \:=\: \:1\:(1)\:R\:T \:\:\:$

$\qquad \dashrightarrow \sf \:\:\: \pi \:=\: \:1\:R\:T \:\:\:$

$\qquad \dashrightarrow \underline {\boxed{\pink{\pmb{\frak{\:\:\: \pi \:(\:or \:Osmotic \:Pressure \:)\:\:=\: \:1\:R\:T \:\:\:}}}}}\:\:\bigstar$

• Osmotic Pressure of 1 M of Urea is 1 RT .

$\qquad \underline {\underline { \purple {\bf { \:\maltese\: NaCl\:\:(\:2\:M \:) \:: \:}}}}$

$\qquad \dashrightarrow \sf \:\:\: \pi \:=\: \:i\:C\:R\:T \:\:\:$

• i or Vant's off index of Gulucose is 2 &
• C or molar Concentration of Gulucose is 2 M ( Mole ) .

$\qquad \dashrightarrow \sf \:\:\: \pi \:=\: \:i\:C\:R\:T \:\:\:$

$\qquad \dashrightarrow \sf \:\:\: \pi \:=\: \:2\:(2)\:R\:T \:\:\:$

$\qquad \dashrightarrow \sf \:\:\: \pi \:=\: \:2\:R\:T \:\:\:$

$\qquad \dashrightarrow \underline {\boxed{\pink{\pmb{\frak{\:\:\: \pi \:(\:or \:Osmotic \:Pressure \:)\:\:=\: \:2\:R\:T \:\:\:}}}}}\:\:\bigstar$

• Osmotic Pressure of 2 M of NaCl is 2 RT .

Therefore,

⠀⠀⠀⠀⠀⠀⠀▪︎⠀⠀Increasing Order of Osmotic pressure will be :

$\qquad \underline {\underline { \purple {\sf { \bigstar \:\:\: Sucrose\:\:(\:0.1\:M \:)\:<\: \;Gulucose\:\:(\:0.5\:M \:) \:<\:Urea\:\:(\:1\:M \:)\:< NaCl\:\:(\:2\:M \:) \: \:}}}}$