Question

If the ionic product of water is $1.96\times {10}^{-14}$ at ${35}^{\circ }C.$ What is its value at ${10}^{\circ }C$

• A. $2.95\times {10}^{-14}$
• B. $1.96\times {10}^{-7}$
• C. $2.95\times {10}^{-15}$
• D. $3.9\times {10}^{-12}$

Answer 1

The correct option is C $2.95\times {10}^{-15}$

Given: Ionic product of water = $1.96\times {10}^{-14}$

Initial temperature= ${35}^{0}C$

Solution: Ionic product follows a direct relationship with the temperature, i.e., the ionic product is directly proportional to temperature. As the temperature decreases, the ionic product also decreases.

According to question, as the temperature is decreasing $\left({10}^{0}C\right)$ so, ionic product of water also decreases.

From the given options it can be observed that $2.95\times {10}^{-15}$ is the only value less than the present value.

Hence, the correct option is (C).