The pH of a sample of blood is 7.4, while gastric juice is pH 1.4. The blood sample has: Group of answer choices 0.189 times the [H ] as the gastric juice. 6 times lower [H ] than the gastric juice. one million times lower [H ] than the gastric juice 5.29 times lower [H ] than the gastric juice. 6000 times lower [H ] than the gastric juice.

The blood sample has [H⁺] that is one million times lower than the [H⁺] of gastric juice.

Explanation:

To know the the correct answer to the question, we obtained obtained the hydrogen ion concentration [H⁺] of the blood and gastric juice. This can be obtained as follow:

For Blood sample:

pH = 7.4

Concentration of Hydrogen ion for blood [H⁺]₁ =?

pH = – Log [H⁺]₁

7.4 = – Log [H⁺]₁

Divide both side by –1

– 7.4 = Log [H⁺]₁

Take the antilog of – 7.4

[H⁺]₁ = Antilog (–7.4)

[H⁺]₁ = 3.98×10¯⁸ M

Thus, the concentration of Hydrogen ion for blood [H⁺]₁ is 3.98×10¯⁸ M

For Gastric juice:

pH = 1.4

Concentration of Hydrogen ion for gastric juice [H⁺]₂ =?

pH = – Log [H⁺]₂

1.4 = – Log [H⁺]₂

Divide both side by –1

– 1.4 = Log [H⁺]₂

Take the antilog of – 1.4

[H⁺]₂ = Antilog (–1.4)

[H⁺]₂ = 3.98×10¯² M

Thus, the concentration of Hydrogen ion for gastric juice [H⁺]₂ is 3.98×10¯² M

Finally, we shall compare the hydrogen ion concentration [H⁺] of the blood and gastric juice. This can be obtained as follow:

Concentration of Hydrogen ion for blood [H⁺]₁ = 3.98×10¯⁸ M

Concentration of Hydrogen ion for gastric juice [H⁺]₂ = 3.98×10¯² M

[H⁺]₁ / [H⁺]₂ = 3.98×10¯⁸ / 3.98×10¯²

[H⁺]₁ / [H⁺]₂ = 1×10¯⁶

Cross multiply

[H⁺]₁ = [H⁺]₂ × 1×10¯⁶

[H⁺]₁ = [H⁺]₂ / 1000000

From the calculations made above, the blood sample has [H⁺] that is one million times lower than the [H⁺] of gastric juice.

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