The amount of heat required to convert 1 gm of ice at -10° C to steam at 100° C is :
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a
725 cal
b
1000 cal
c
800 cal
d
80 cal
answer is A.
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Detailed Solution
heat required Q=Q1+Q2+Q3+Q4total amount of heat required is Q=Q1+Q2+Q3+Q4here Q1= amount of heat required to convert ice at -100C to ice at 00C=mC1∆T1Q2= amount of heat required to convert ice at 00C to water at 00C =mL1 Q3= amount of heat required to convert water at 00C to water at 1000C=mC2∆T2Q4= amount of heat required to convert water at 1000C to steam at 1000C=mL2here m is mass =1gmC1=specific heat of ice=0.5calorie/g/c 0 ΔT1=temperature change from -10 to 0=0-(-10)=10°CL1=latent heat of fusion of ice=80 calorie/gC2=specific heat of water=1calorie/g/c 0 ΔT2=temperature change from 0 to 100=100-0=100°CL2=latent heat of vaporisation=540 calorie/g substitute above values in equation of Q Q=mC1ΔT1+mL1+mC2ΔT2+mL2Q=1×0.5×10+1×80+1×1×100+1×540Q=5+80+100+540=725 cal.