Henry’s law constant for CO₂ in water is 1.67 x 10⁸ P_a at 298 K. Calculate the quantity of CO₂ in 500 mL of soda water when packed under 2.5 atm CO₂ pressure at 298 K.

Solution

Solution :
given that,
pressure of CO₂=2.5atm
1 atm = 1.01325x 10⁵ pa so that
pressure of CO₂ = 2.5x1.01325x10⁵pa
= 2.533125 x 10⁵pa
K_H = 1.67 x 10⁸pa
ACcording to henry's law p= K_H*X
or X=P/K_H
= 2.533125 x 10⁵/1.67x 10⁸
= 1.52 x 10^-3

But we have 500ML odf soda water so that
Volume of water = 500mL
Density of water =1g/ml
mass = volume x density
500 mL of water = 500g of water
molar mass f water (H₂O) = 18g mol^-1
number of moles = $\frac{Mass}{Molar mass} N u m b e r o f m o l e o f w a t e r = \frac{50}{18} = 27.78 m o l o f w a t e r n o w u s e t h e f o r m u l a o f m o l e f r a c t i o n x = \frac{n_{C O_{2}}}{n_{C O_{2}} + n_{H_{2} O}} V a l u e o f m o l e f r a c t i o n i s v e r y s m a l l s o i t i s n e g l i g i b l e a s c o m p a r e d t o 1 x \approx \frac{n_{C O_{2}}}{n_{H_{2} O}} n_{C O_{2}} = 27.78 \times 1.52 \times 10^{- 3} m o l a r m a s s o f C O_{2} = 12 + 2 \times 16 = 44 g m o l^{- 1} u s e f o r m u l a m a s s = m o l a r m a s s \times n u m b e r o f m o l e s = 0.042 \times 44 = 1.848 g$

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Solutions

Henry’s law constant for CO₂ in water is 1.67 x 10⁸ P_a at 298 K. Calculate the quantity of CO₂ in 500 mL of soda water when packed under 2.5 atm CO₂ pressure at 298 K.

Some More Questions From Solutions Chapter

Calculate the osmotic pressure in pascals exerted by a solution prepared by dissolving 1.0 g of polymer of molar mass 185,000 in 450 mL at 37⁰C.

Mock Test Series

NCERT Sample Papers

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Solutions

Henry’s law constant for CO2 in water is 1.67 x 108 Pa at 298 K. Calculate the quantity of CO2 in 500 mL of soda water when packed under 2.5 atm CO2 pressure at 298 K.

Some More Questions From Solutions Chapter

Calculate the osmotic pressure in pascals exerted by a solution prepared by dissolving 1.0 g of polymer of molar mass 185,000 in 450 mL at 370C.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Henry’s law constant for CO₂ in water is 1.67 x 10⁸ P_a at 298 K. Calculate the quantity of CO₂ in 500 mL of soda water when packed under 2.5 atm CO₂ pressure at 298 K.

Calculate the osmotic pressure in pascals exerted by a solution prepared by dissolving 1.0 g of polymer of molar mass 185,000 in 450 mL at 37⁰C.