J & K CET Medical J & K - CET Medical Solved Paper-2001

  • question_answer
    Calculate the amount of\[[Ca{{(OH)}_{2}}]\]required to remove the hardness of water from 60,000 L containing 16.2 g of\[Ca{{(HC{{O}_{3}})}_{2}}\]per 100 L:

    A)  1.11 kg                                

    B)  2.22kg

    C)  3.33 kg                                

    D)  4.44 kg

    Correct Answer: D

    Solution :

                    In 100 L of water amount of \[Ca(HC{{O}_{3}})=16.2\,g\] In 60,000 L of water amount of \[Ca{{(HC{{O}_{3}})}_{2}}=\frac{16.2\times 60,000}{100}\] \[=9720\,g\] \[=\frac{9720}{162}=60\,mol\]   \[\underset{1\,mole}{\mathop{Ca{{(OH)}_{2}}}}\,+\underset{1\,mole}{\mathop{Ca{{(HC{{O}_{3}})}_{2}}}}\,\xrightarrow{{}}2CaC{{O}_{3}}+2{{H}_{2}}O\] Hence, amount of\[Ca{{(OH)}_{2}}\]required = 60 mot \[=60\times 74=4440\,g=4.44\text{ }kg\]


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