CO? gas is bubbled through water during a soft drink manufacturing process at 298 K. If CO? exerts a partial pressure of 0.835 bar then x m mol of CO? would dissolve in 0.9 L of water. The value of x is ______ (Nearest integer). (Henry's law constant for CO? at 298 K is 1.67×10³ bar)
CO? gas is bubbled through water during a soft drink manufacturing process at 298 K. If CO? exerts a partial pressure of 0.835 bar then x m mol of CO? would dissolve in 0.9 L of water. The value of x is ______ (Nearest integer). (Henry's law constant for CO? at 298 K is 1.67×10³ bar)
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1 Answer
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P (CO? ) = K? X (CO? )
X (CO? ) = P (CO? )/K? = 0.835 / (1.67 × 10³) = 0.5 × 10? ³
X (CO? ) = n (CO? )/ (n (CO? ) + n (H? O) ≈ n (CO? )/n (H? O) (since n (CO? ) << n (H? O)
n (H? O) in 0.9L = 900g/18gmol? ¹ = 50 mol
n (CO? ) = X (CO? ) × n (H? O) = 0.5 × 10? ³ × 50 = 25 × 10? ³ moles = 25 mmol
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