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Giải bài 6.39 trang 20 sách bài tập toán 11 - Kết nối tri thức với cuộc sống

Nhắc lại rằng độ pH của một dung dịch được tính bằng công thức \({\rm{pH}} = - {\rm{log}}\left[ {{{\rm{H}}^ + }} \right]\)

📖Tổng hợp đề thi học kì 2 lớp 11 tất cả các môn - Kết nối tri thức

Toán - Văn - Anh - Lí - Hóa - Sinh
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Đề bài

Nhắc lại rằng độ pH của một dung dịch được tính bằng công thức \({\rm{pH}} =  - {\rm{log}}\left[ {{{\rm{H}}^ + }} \right]\), ở đó \(\left[ {{{\rm{H}}^ + }} \right]\)là nồng độ ion hydrogen của dung dịch tính bằng mol/lít. Biết rằng máu của người bình thường có độ pH từ 7,30 đến 7,45. Hỏi nồng độ ion hydrogen trong máu người bình thường nhận giá trị trong đoạn nào?

Phương pháp giải - Xem chi tiết

Áp dụng \(7,30 \le pH \le 7,45 \Rightarrow \)\(7,30 \le  - {\rm{log}}\left[ {{{\rm{H}}^ + }} \right] \le 7,45 \Rightarrow \left[ {{{\rm{H}}^ + }} \right]\)

Lời giải chi tiết

Ta có: \(7,30 \le  - {\rm{log}}\left[ {{{\rm{H}}^ + }} \right] \le 7,45\)\( \Leftrightarrow  - 7,30 \ge {\rm{log}}\left[ {{{\rm{H}}^ + }} \right] \ge  - 7,45 \Leftrightarrow {10^{ - 7,30}} \ge \left[ {{{\rm{H}}^ + }} \right] \ge {10^{ - 7,45}}\)Vậy nồng độ ion hydrogen trong máu người bình thường nhận giá trị trongđoạn \(\left[ {5,01 \cdot {{10}^{ - 8}};3,55 \cdot {{10}^{ - 8}}} \right]\).

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