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JEE Main 202229 JulyMorning Shift
Exam
JEE Main
Year
2022
Date
29 July
Shift
Morning Shift
Subject
Chemistry
Chapter
Thermodynamics (C)

JEE Main 2022 · 29 July · Morning Shift · Chemistry · Thermodynamics (C)

When 600mL of 0 . 2M HNO _ 3 is mixed with 400mL of 0 . 1MNaOH...

When 600mL600mL of 0.2MHNO30 . 2M{HNO}_{3} is mixed with 400mL400mL of 0.1MNaOH0 . 1MNaOH solution in a flask, the rise in temperature of the flask is_____×10−2°C\times {10}^{- 2} ° C
(Enthalpy of neutralisation =57kJmol−1= 57kJ{mol}^{- 1} and Specific heat of water =4.2JK−1g−1= 4 . 2{JK}^{- 1}{g}^{- 1}) (Neglect heat capacity of flask)

Correct answer

0

Step-by-step solution

Number of moles of given acid and base are

HNO3=6001000×0.2M=0.12moles\begin{array}{ll}{HNO}_{3} = \dfrac{600}{1000} \times 0 . 2M = 0 . 12moles\end{array}NaOH = \dfrac{400}{1000} \times 0 . 1M = 0 . 04moles</p><p>Nowneutralisationreactionbetweenthemwillbe</p><p></p><p>Now neutralisation reaction between them will be</p><p>{HNO}_{3} + NaOH \to {NaNO}_{3} + {H}_{2}O0 . 12mole0 . 04mole0 . 08mole0mole0 . 04mole</p><p>Heatrelesedduringthisreactionwillbe</p><p></p><p>Heat relesed during this reaction will be </p><p>{\Delta}_{r}H = 0 . 04 \times \left(57 \times {10}^{3}\right)J</p><p></p><p>= 2280J</p><p>Nowtemperatureincreasedcanbecalculatedby</p><p></p><p>Now temperature increased can be calculated by</p><p>mS \Delta T = 2280J</p><p></p><p>⇒ 1000mL \times \dfrac{1gm}{mL} \times 4 . 2 \times \Delta T = 2280</p><p></p><p>\Delta T = \dfrac{2280}{4 . 2} \times {10}^{- 3}</p><p></p><p>= 542 . 86 \times {10}^{- 3}</p><p></p><p>\Delta T = 54 . 286 \times {10}^{- 2} ° C$

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