803 cal of heat is added to 5.00 g ice at –20.0 °C.
What is the final temperature of the water?
SPecific heat H2O(s)= 2.087 J/(g*C)
Specific heat H2O(l)=4.184 J/(g*C)
Heat of fusion= 333.6 J/g
heat given = > 803 cal =3361.358 joule
The heat required to raise the temperature of ice from -20 °C to
0 °C Use the formula
q1 = mcΔT = 5*2.09*( 0--20) =209 J
Step 2: Heat required to convert 0 °C ice to 0 °C water
q2 = m·ΔHf = 5*334 =1670 J
Heat required to raise the temperature of 0 °C water to 100 °C
water
q3 = mcΔT = 5*4.18*( 100-0) =2090
total heat =209+1670 +2090 =3969
but we provided 3361.358 so water temperature will be less than 100 °C
after water become 0-degree water remaining heat will raise its temperature
remaining heat = 3361.358 - ( 209 +1670 ) = 1482.358 J
so
1482.358 J = mcΔT = 5*4.18* ( T-0 )
1482.358 = 5*4.18* T
T = 1482.358 /(5*4.18)
T = 70.9262201 degree answer
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