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We can perform calculations involving pH, pOH, and other quantities for pure water when we’re not at 25°C. We’ll do one example here. Calculations Involving Water at Temperatures Other Than 25°C Example 1
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Before we start the example, it’s very important to remember that when we’re not at 25°C When we’re NOT at 25°C,
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We CANNOT use When we’re NOT at 25°C, We CANNOT use:
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[H 3 O + ][OH – ]= 1.00 × 10 –14 When we’re NOT at 25°C, We CANNOT use: [H 3 O + ][OH – ]= 1.00 × 10 –14
![[H 3 O + ][OH – ]= 1.00 × 10 –14 When we’re NOT at 25°C, We CANNOT use: [H 3 O + ][OH – ]= 1.00 × 10 –14](http://images.slideplayer.com./22/6411252/slides/slide_4.jpg "[H 3 O + ][OH – ]= 1.00 × 10 –14 When we’re NOT at 25°C, We CANNOT use: [H 3 O + ][OH – ]= 1.00 × 10 –14")
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When we’re NOT at 25°C, We CANNOT use: [H 3 O + ][OH – ]= 1.00 × 10 –14
![When we’re NOT at 25°C, We CANNOT use: [H 3 O + ][OH – ]= 1.00 × 10 –14](http://images.slideplayer.com./22/6411252/slides/slide_5.jpg "When we’re NOT at 25°C, We CANNOT use: [H 3 O + ][OH – ]= 1.00 × 10 –14")
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And we cannot use pH + pOH = 14.00 When we’re NOT at 25°C, We CANNOT use: [H 3 O + ][OH – ]= 1.00 × 10 –14 pH + pOH = 14.00
![And we cannot use pH + pOH = When we’re NOT at 25°C, We CANNOT use: [H 3 O + ][OH – ]= 1.00 × 10 –14 pH + pOH = 14.00](http://images.slideplayer.com./22/6411252/slides/slide_6.jpg "And we cannot use pH + pOH = When we’re NOT at 25°C, We CANNOT use: [H 3 O + ][OH – ]= 1.00 × 10 –14 pH + pOH = 14.00")
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When we’re NOT at 25°C, We CANNOT use: [H 3 O + ][OH – ]= 1.00 × 10 –14 pH + pOH = 14.00
![When we’re NOT at 25°C, We CANNOT use: [H 3 O + ][OH – ]= 1.00 × 10 –14 pH + pOH = 14.00](http://images.slideplayer.com./22/6411252/slides/slide_7.jpg "When we’re NOT at 25°C, We CANNOT use: [H 3 O + ][OH – ]= 1.00 × 10 –14 pH + pOH = 14.00")
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Here’s the example question. We’re given that the value of Kw at 20°C is 6.81 × 10 –15. The value of K w at 20°C is 6.81 × 10 –15.
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a) What is the [H 3 O + ] in water at 20°C? Question “a” asks us to find the hydronium ion concentration in water at 20°C The value of K w at 20°C is 6.81 × 10 –15. b) What is the pH in water at 20°C? c) What is the [OH – ] in water at 20°C? e) Is water at 20°C acidic, basic, or neutral? d) What is the pOH in water at 20°C?
![a) What is the [H 3 O + ] in water at 20°C.](http://images.slideplayer.com./22/6411252/slides/slide_9.jpg "Question a asks us to find the hydronium ion concentration in water at 20°C The value of K w at 20°C is 6.81 × 10 –15. b) What is the pH in water at 20°C. c) What is the [OH – ] in water at 20°C. e) Is water at 20°C acidic, basic, or neutral. d) What is the pOH in water at 20°C .")
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a) What is the [H 3 O + ] in water at 20°C? The Kw, which is hydronium concentration times hydroxide concentration is 6.81 x 10 -15 The value of K w at 20°C is 6.81 × 10 –15. b) What is the pH in water at 20°C? c) What is the [OH – ] in water at 20°C? e) Is water at 20°C acidic, basic, or neutral? d) What is the pOH in water at 20°C?
![a) What is the [H 3 O + ] in water at 20°C.](http://images.slideplayer.com./22/6411252/slides/slide_10.jpg "The Kw, which is hydronium concentration times hydroxide concentration is 6.81 x The value of K w at 20°C is 6.81 × 10 –15. b) What is the pH in water at 20°C. c) What is the [OH – ] in water at 20°C. e) Is water at 20°C acidic, basic, or neutral. d) What is the pOH in water at 20°C .")
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a) What is the [H 3 O + ] in water at 20°C? Because water is neutral, [OH – ]=[H 3 O + ] The value of K w at 20°C is 6.81 × 10 –15. b) What is the pH in water at 20°C? c) What is the [OH – ] in water at 20°C? e) Is water at 20°C acidic, basic, or neutral? d) What is the pOH in water at 20°C? Because water is neutral [OH – ]=[H 3 O + ]
![a) What is the [H 3 O + ] in water at 20°C.](http://images.slideplayer.com./22/6411252/slides/slide_11.jpg "Because water is neutral, [OH – ]=[H 3 O + ] The value of K w at 20°C is 6.81 × 10 –15. b) What is the pH in water at 20°C. c) What is the [OH – ] in water at 20°C. e) Is water at 20°C acidic, basic, or neutral. d) What is the pOH in water at 20°C. Because water is neutral [OH – ]=[H 3 O + ].")
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a) What is the [H 3 O + ] in water at 20°C? So we can substitute [H 3 O + ] in for [OH – ], and get [H 3 O + ] 2 = 6.81 × 10 –15 The value of K w at 20°C is 6.81 × 10 –15. b) What is the pH in water at 20°C? c) What is the [OH – ] in water at 20°C? e) Is water at 20°C acidic, basic, or neutral? d) What is the pOH in water at 20°C? Substitute [H 3 O + ] for [OH – ]
![a) What is the [H 3 O + ] in water at 20°C.](http://images.slideplayer.com./22/6411252/slides/slide_12.jpg "So we can substitute [H 3 O + ] in for [OH – ], and get [H 3 O + ] 2 = 6.81 × 10 –15 The value of K w at 20°C is 6.81 × 10 –15. b) What is the pH in water at 20°C. c) What is the [OH – ] in water at 20°C. e) Is water at 20°C acidic, basic, or neutral. d) What is the pOH in water at 20°C. Substitute [H 3 O + ] for [OH – ].")
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a) What is the [H 3 O + ] in water at 20°C? So [H 3 O + ] is the square root of 6.81 × 10 –15 The value of K w at 20°C is 6.81 × 10 –15. b) What is the pH in water at 20°C? c) What is the [OH – ] in water at 20°C? e) Is water at 20°C acidic, basic, or neutral? d) What is the pOH in water at 20°C?
![a) What is the [H 3 O + ] in water at 20°C.](http://images.slideplayer.com./22/6411252/slides/slide_13.jpg "So [H 3 O + ] is the square root of 6.81 × 10 –15 The value of K w at 20°C is 6.81 × 10 –15. b) What is the pH in water at 20°C. c) What is the [OH – ] in water at 20°C. e) Is water at 20°C acidic, basic, or neutral. d) What is the pOH in water at 20°C .")
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a) What is the [H 3 O + ] in water at 20°C? Which is 8.25 × 10 –8 M The value of K w at 20°C is 6.81 × 10 –15. b) What is the pH in water at 20°C? c) What is the [OH – ] in water at 20°C? e) Is water at 20°C acidic, basic, or neutral? d) What is the pOH in water at 20°C?
![a) What is the [H 3 O + ] in water at 20°C.](http://images.slideplayer.com./22/6411252/slides/slide_14.jpg "Which is 8.25 × 10 –8 M The value of K w at 20°C is 6.81 × 10 –15. b) What is the pH in water at 20°C. c) What is the [OH – ] in water at 20°C. e) Is water at 20°C acidic, basic, or neutral. d) What is the pOH in water at 20°C .")
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a) What is the [H 3 O + ] in water at 20°C? The second question asks us the pH in water at 20°C The value of K w at 20°C is 6.81 × 10 –15. b) What is the pH in water at 20°C? c) What is the [OH – ] in water at 20°C? e) Is water at 20°C acidic, basic, or neutral? d) What is the pOH in water at 20°C?
![a) What is the [H 3 O + ] in water at 20°C.](http://images.slideplayer.com./22/6411252/slides/slide_15.jpg "The second question asks us the pH in water at 20°C The value of K w at 20°C is 6.81 × 10 –15. b) What is the pH in water at 20°C. c) What is the [OH – ] in water at 20°C. e) Is water at 20°C acidic, basic, or neutral. d) What is the pOH in water at 20°C .")
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a) What is the [H 3 O + ] in water at 20°C? pH is the negative log of the hydronium ion concentration, The value of K w at 20°C is 6.81 × 10 –15. b) What is the pH in water at 20°C? c) What is the [OH – ] in water at 20°C? e) Is water at 20°C acidic, basic, or neutral? d) What is the pOH in water at 20°C?
![a) What is the [H 3 O + ] in water at 20°C.](http://images.slideplayer.com./22/6411252/slides/slide_16.jpg "pH is the negative log of the hydronium ion concentration, The value of K w at 20°C is 6.81 × 10 –15. b) What is the pH in water at 20°C. c) What is the [OH – ] in water at 20°C. e) Is water at 20°C acidic, basic, or neutral. d) What is the pOH in water at 20°C .")
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a) What is the [H 3 O + ] in water at 20°C? Which is the negative log of 8.25 x 10 -8, The value of K w at 20°C is 6.81 × 10 –15. b) What is the pH in water at 20°C? c) What is the [OH – ] in water at 20°C? e) Is water at 20°C acidic, basic, or neutral? d) What is the pOH in water at 20°C?
![a) What is the [H 3 O + ] in water at 20°C.](http://images.slideplayer.com./22/6411252/slides/slide_17.jpg "Which is the negative log of 8.25 x 10 -8, The value of K w at 20°C is 6.81 × 10 –15. b) What is the pH in water at 20°C. c) What is the [OH – ] in water at 20°C. e) Is water at 20°C acidic, basic, or neutral. d) What is the pOH in water at 20°C .")
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a) What is the [H 3 O + ] in water at 20°C? Which comes out to 7.084 The value of K w at 20°C is 6.81 × 10 –15. b) What is the pH in water at 20°C? c) What is the [OH – ] in water at 20°C? e) Is water at 20°C acidic, basic, or neutral? d) What is the pOH in water at 20°C?
![a) What is the [H 3 O + ] in water at 20°C.](http://images.slideplayer.com./22/6411252/slides/slide_18.jpg "Which comes out to The value of K w at 20°C is 6.81 × 10 –15. b) What is the pH in water at 20°C. c) What is the [OH – ] in water at 20°C. e) Is water at 20°C acidic, basic, or neutral. d) What is the pOH in water at 20°C .")
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a) What is the [H 3 O + ] in water at 20°C? Question “c” asks for the hydroxide ion concentration in water at 20°C The value of K w at 20°C is 6.81 × 10 –15. b) What is the pH in water at 20°C? c) What is the [OH – ] in water at 20°C? e) Is water at 20°C acidic, basic, or neutral? d) What is the pOH in water at 20°C?
![a) What is the [H 3 O + ] in water at 20°C.](http://images.slideplayer.com./22/6411252/slides/slide_19.jpg "Question c asks for the hydroxide ion concentration in water at 20°C The value of K w at 20°C is 6.81 × 10 –15. b) What is the pH in water at 20°C. c) What is the [OH – ] in water at 20°C. e) Is water at 20°C acidic, basic, or neutral. d) What is the pOH in water at 20°C .")
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a) What is the [H 3 O + ] in water at 20°C? We know that the hydronium ion concentration is 8.25 x 10 -8 M, and we need to find the hydroxide ion concentration. But be careful, we Cannot use 1.0 x 10 -14 divided by hydronium concentration here, because we’re not at 25°C! The value of K w at 20°C is 6.81 × 10 –15. b) What is the pH in water at 20°C? c) What is the [OH – ] in water at 20°C? e) Is water at 20°C acidic, basic, or neutral? d) What is the pOH in water at 20°C? [H 3 O + ]
![a) What is the [H 3 O + ] in water at 20°C.](http://images.slideplayer.com./22/6411252/slides/slide_20.jpg "We know that the hydronium ion concentration is 8.25 x M, and we need to find the hydroxide ion concentration. But be careful, we Cannot use 1.0 x divided by hydronium concentration here, because we’re not at 25°C. The value of K w at 20°C is 6.81 × 10 –15. b) What is the pH in water at 20°C. c) What is the [OH – ] in water at 20°C. e) Is water at 20°C acidic, basic, or neutral. d) What is the pOH in water at 20°C. [H 3 O + ].")
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a) What is the [H 3 O + ] in water at 20°C? However, because we’re dealing with pure water, we know that it is neutral. The value of K w at 20°C is 6.81 × 10 –15. b) What is the pH in water at 20°C? c) What is the [OH – ] in water at 20°C? e) Is water at 20°C acidic, basic, or neutral? d) What is the pOH in water at 20°C? [H 3 O + ] Neutral
![a) What is the [H 3 O + ] in water at 20°C.](http://images.slideplayer.com./22/6411252/slides/slide_21.jpg "However, because we’re dealing with pure water, we know that it is neutral. The value of K w at 20°C is 6.81 × 10 –15. b) What is the pH in water at 20°C. c) What is the [OH – ] in water at 20°C. e) Is water at 20°C acidic, basic, or neutral. d) What is the pOH in water at 20°C. [H 3 O + ] Neutral.")
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a) What is the [H 3 O + ] in water at 20°C? Therefore hydroxide ion concentration is equal to hydronium ion concentration. The value of K w at 20°C is 6.81 × 10 –15. b) What is the pH in water at 20°C? c) What is the [OH – ] in water at 20°C? e) Is water at 20°C acidic, basic, or neutral? d) What is the pOH in water at 20°C? [H 3 O + ] Neutral
![a) What is the [H 3 O + ] in water at 20°C.](http://images.slideplayer.com./22/6411252/slides/slide_22.jpg "Therefore hydroxide ion concentration is equal to hydronium ion concentration. The value of K w at 20°C is 6.81 × 10 –15. b) What is the pH in water at 20°C. c) What is the [OH – ] in water at 20°C. e) Is water at 20°C acidic, basic, or neutral. d) What is the pOH in water at 20°C. [H 3 O + ] Neutral.")
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a) What is the [H 3 O + ] in water at 20°C? Which is 8.25 x 10 -8 M The value of K w at 20°C is 6.81 × 10 –15. e) Is water at 20°C acidic, basic, or neutral? d) What is the pOH in water at 20°C? [H 3 O + ] c) What is the [OH – ] in water at 20°C? b) What is the pH in water at 20°C?
![a) What is the [H 3 O + ] in water at 20°C.](http://images.slideplayer.com./22/6411252/slides/slide_23.jpg "Which is 8.25 x M The value of K w at 20°C is 6.81 × 10 –15. e) Is water at 20°C acidic, basic, or neutral. d) What is the pOH in water at 20°C. [H 3 O + ] c) What is the [OH – ] in water at 20°C. b) What is the pH in water at 20°C .")
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a) What is the [H 3 O + ] in water at 20°C? Question “d” asks us to find the pOH in water at 20°C. Remember, we cannot use 14 minus pH to find pOH because we’re not at 25°C. The value of K w at 20°C is 6.81 × 10 –15. e) Is water at 20°C acidic, basic, or neutral? d) What is the pOH in water at 20°C? c) What is the [OH – ] in water at 20°C? b) What is the pH in water at 20°C?
![a) What is the [H 3 O + ] in water at 20°C. Question d asks us to find the pOH in water at 20°C.](http://images.slideplayer.com./22/6411252/slides/slide_24.jpg "Remember, we cannot use 14 minus pH to find pOH because we’re not at 25°C. The value of K w at 20°C is 6.81 × 10 –15. e) Is water at 20°C acidic, basic, or neutral. d) What is the pOH in water at 20°C. c) What is the [OH – ] in water at 20°C. b) What is the pH in water at 20°C .")
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a) What is the [H 3 O + ] in water at 20°C? However, because water is neutral, we know that the hydroxide concentration is equal to the hydronium concentration, The value of K w at 20°C is 6.81 × 10 –15. e) Is water at 20°C acidic, basic, or neutral? d) What is the pOH in water at 20°C? c) What is the [OH – ] in water at 20°C? b) What is the pH in water at 20°C? Neutral
![a) What is the [H 3 O + ] in water at 20°C.](http://images.slideplayer.com./22/6411252/slides/slide_25.jpg "However, because water is neutral, we know that the hydroxide concentration is equal to the hydronium concentration, The value of K w at 20°C is 6.81 × 10 –15. e) Is water at 20°C acidic, basic, or neutral. d) What is the pOH in water at 20°C. c) What is the [OH – ] in water at 20°C. b) What is the pH in water at 20°C. Neutral.")
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a) What is the [H 3 O + ] in water at 20°C? Therefore, the pOH is equal to the pH The value of K w at 20°C is 6.81 × 10 –15. e) Is water at 20°C acidic, basic, or neutral? d) What is the pOH in water at 20°C? c) What is the [OH – ] in water at 20°C? b) What is the pH in water at 20°C? pOH = pH Neutral
![a) What is the [H 3 O + ] in water at 20°C.](http://images.slideplayer.com./22/6411252/slides/slide_26.jpg "Therefore, the pOH is equal to the pH The value of K w at 20°C is 6.81 × 10 –15. e) Is water at 20°C acidic, basic, or neutral. d) What is the pOH in water at 20°C. c) What is the [OH – ] in water at 20°C. b) What is the pH in water at 20°C. pOH = pH Neutral.")
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a) What is the [H 3 O + ] in water at 20°C? Which is 7.084. The value of K w at 20°C is 6.81 × 10 –15. e) Is water at 20°C acidic, basic, or neutral? d) What is the pOH in water at 20°C? c) What is the [OH – ] in water at 20°C? b) What is the pH in water at 20°C? pOH = pH = 7.084
![a) What is the [H 3 O + ] in water at 20°C. Which is](http://images.slideplayer.com./22/6411252/slides/slide_27.jpg "The value of K w at 20°C is 6.81 × 10 –15. e) Is water at 20°C acidic, basic, or neutral. d) What is the pOH in water at 20°C. c) What is the [OH – ] in water at 20°C. b) What is the pH in water at 20°C. pOH = pH =")
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a) What is the [H 3 O + ] in water at 20°C? We could also have said that pOH is the negative log of [OH-] The value of K w at 20°C is 6.81 × 10 –15. e) Is water at 20°C acidic, basic, or neutral? d) What is the pOH in water at 20°C? c) What is the [OH – ] in water at 20°C? b) What is the pH in water at 20°C? pOH = –log[OH – ] =–log(8.25 × 10 –8 ) = 7.084
![a) What is the [H 3 O + ] in water at 20°C.](http://images.slideplayer.com./22/6411252/slides/slide_28.jpg "We could also have said that pOH is the negative log of [OH-] The value of K w at 20°C is 6.81 × 10 –15. e) Is water at 20°C acidic, basic, or neutral. d) What is the pOH in water at 20°C. c) What is the [OH – ] in water at 20°C. b) What is the pH in water at 20°C. pOH = –log[OH – ] =–log(8.25 × 10 –8 ) =")
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a) What is the [H 3 O + ] in water at 20°C? Which is the negative log of 8.25 x 10 -8 The value of K w at 20°C is 6.81 × 10 –15. e) Is water at 20°C acidic, basic, or neutral? d) What is the pOH in water at 20°C? c) What is the [OH – ] in water at 20°C? b) What is the pH in water at 20°C? pOH = –log[OH – ] = –log(8.25 × 10 –8 ) = 7.084
![a) What is the [H 3 O + ] in water at 20°C.](http://images.slideplayer.com./22/6411252/slides/slide_29.jpg "Which is the negative log of 8.25 x The value of K w at 20°C is 6.81 × 10 –15. e) Is water at 20°C acidic, basic, or neutral. d) What is the pOH in water at 20°C. c) What is the [OH – ] in water at 20°C. b) What is the pH in water at 20°C. pOH = –log[OH – ] = –log(8.25 × 10 –8 ) =")
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a) What is the [H 3 O + ] in water at 20°C? Which is 7.084 The value of K w at 20°C is 6.81 × 10 –15. e) Is water at 20°C acidic, basic, or neutral? d) What is the pOH in water at 20°C? c) What is the [OH – ] in water at 20°C? b) What is the pH in water at 20°C? pOH = –log[OH – ] = –log(8.25 × 10 –8 ) = 7.084
![a) What is the [H 3 O + ] in water at 20°C.](http://images.slideplayer.com./22/6411252/slides/slide_30.jpg "Which is The value of K w at 20°C is 6.81 × 10 –15. e) Is water at 20°C acidic, basic, or neutral. d) What is the pOH in water at 20°C. c) What is the [OH – ] in water at 20°C. b) What is the pH in water at 20°C. pOH = –log[OH – ] = –log(8.25 × 10 –8 ) =")
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a) What is the [H 3 O + ] in water at 20°C? The last question asks if water at 20°C is acidic, basic, or neutral. The value of K w at 20°C is 6.81 × 10 –15. e) Is water at 20°C acidic, basic, or neutral? d) What is the pOH in water at 20°C? c) What is the [OH – ] in water at 20°C? b) What is the pH in water at 20°C? pOH = pH = 7.084
![a) What is the [H 3 O + ] in water at 20°C.](http://images.slideplayer.com./22/6411252/slides/slide_31.jpg "The last question asks if water at 20°C is acidic, basic, or neutral. The value of K w at 20°C is 6.81 × 10 –15. e) Is water at 20°C acidic, basic, or neutral. d) What is the pOH in water at 20°C. c) What is the [OH – ] in water at 20°C. b) What is the pH in water at 20°C. pOH = pH =")
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a) What is the [H 3 O + ] in water at 20°C? Here’s where we have to be careful. Notice the pH is above 7. We’re used to thinking that if the pH is above 7, then it is basic. However the 7 is only valid at 25°C. The value of K w at 20°C is 6.81 × 10 –15. e) Is water at 20°C acidic, basic, or neutral? d) What is the pOH in water at 20°C? c) What is the [OH – ] in water at 20°C? b) What is the pH in water at 20°C? pOH = pH = 7.084 pH
![a) What is the [H 3 O + ] in water at 20°C. Here’s where we have to be careful.](http://images.slideplayer.com./22/6411252/slides/slide_32.jpg "Notice the pH is above 7. We’re used to thinking that if the pH is above 7, then it is basic. However the 7 is only valid at 25°C. The value of K w at 20°C is 6.81 × 10 –15. e) Is water at 20°C acidic, basic, or neutral. d) What is the pOH in water at 20°C. c) What is the [OH – ] in water at 20°C. b) What is the pH in water at 20°C. pOH = pH = pH.")
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a) What is the [H 3 O + ] in water at 20°C? Remember pure water is neutral, no matter what the temperature is. The value of K w at 20°C is 6.81 × 10 –15. e) Is water at 20°C acidic, basic, or neutral? Neutral d) What is the pOH in water at 20°C? c) What is the [OH – ] in water at 20°C? b) What is the pH in water at 20°C? pOH = pH = 7.084
![a) What is the [H 3 O + ] in water at 20°C.](http://images.slideplayer.com./22/6411252/slides/slide_33.jpg "Remember pure water is neutral, no matter what the temperature is. The value of K w at 20°C is 6.81 × 10 –15. e) Is water at 20°C acidic, basic, or neutral. Neutral d) What is the pOH in water at 20°C. c) What is the [OH – ] in water at 20°C. b) What is the pH in water at 20°C. pOH = pH =")
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