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Question

Chemical reactions are invariably associated with the transfer of energy either in the form of heat or light. In the laboratory,
heat changes in physical and chemical processes are measured with an instrument called Calorimeter. Heat change
in the process is calculated as
q=msΔT ........ s=specificheat
=cΔT ....... c=heatcapacity
Heat of reaction at constant volume is measured using bomb Calorimeter.
qV=ΔU=internalenergychange
Heat of reaction at constant pressure is measured using bomb Calorimeter.
qP=ΔH
qP=qV+PΔV
ΔH=ΔU+ΔnRTThe enthalpy of fusion of ice is 6.02kJmol1. The heat capacity of water is 4.18Jg1C1.

What is the smallest number of ice cubes at 0C, each containing one mole of water, that is needed to cool 500g of liquid water from 20C to 0C.

A
8
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B
7
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C
140
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D
120
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Solution

The correct option is B 7
heat released to cool 500g water from 20C to 0C.

q=msΔT

=500×4.18×20=41800J

=41.8kJ

Number of moles of water(ice) that will melt to absorb 41.8kJ=qEnthalpy of fusion=41.86.02

=6.947.

Hence, the correct option is B

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