What volume of 0.1 M HCl must be added to 500 ml, 0.25 M NH3 to have a buffer of pH = 9.74 [Given : pKb of NH3 is 4.74,log3=0.48]
A
125mL
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B
312.5mL
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C
3125mL
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D
1250 mL
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Solution
The correct option is B312.5mL We know that pOH=14∴pOH=14−pH=14−9.74⇒pOH=4.26 We know for a buffer solution pOH=pKb+logsaltbase⇒4.26=4.74+logsalt0.125−0.1V⇒−0.48=log0.1V0.125−0.1V⇒log3=log0.125−0.1V0.1V⇒0.3V=0.125−0.1V⇒0.4V=0.125⇒V=1.254=0.3125L⇒V=312.5mL