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$250\,gm$ પાણી અને તેટલા જ કદના $200\,gm$ આલ્કોહોલ ને સમાન કેલરીમીટરમાં મૂકવામાં આવે છે અને તેઓ $60^{\circ}\,C$ થી $55^{\circ}\,C$ તાપમાનો અનુક્રમે $130 sec$ અને $67$ માં આલ્કોહોલની વિશિષ્ટ ઉષ્મા $cal / gm ^{\circ}\,C$
$1.30$
$0.67$
$0.62$
$0.985$
Solution
(c)
Mass of water $=250 g$
Mass of alcohol $=200 g$
Water equivalent of calorimeter, $W=10 g$
Fall of temperature $=60-55=5^{\circ} C$
Time taken by water to cool $=130 s$
Time taken by alcohol to $cool =67 s$
Heat lost by water and colorimeter
$=(250+10) 5=260 \times 5=1300 cal$
Rate of loss of heat $=\frac{1300}{130}=10 cal / s$
Heat lost by alcohol and calorimeter $=(200 s+10) 5$
Rate of loss of heat $=\frac{(200 s +10) 5}{67} cal / s$
Heat lost by alcohol and calorimeter $=(200 s+10) 5$
Rate of loss of heat $=\frac{(200 s +10) 5}{67} cal / s$
Rates of loss of heat in the two cases are equal
$\frac{(200 s+10) 5}{67}=10$
$s=0.62\; cal / g^{\circ} C$