Question

In: Chemistry

How much heat (in kJ) is required to warm 10.0 g of ice, initially at -10.0...

How much heat (in kJ) is required to warm 10.0 g of ice, initially at -10.0 ∘C, to steam at 114.0 ∘C? The heat capacity of ice is 2.09 J/g⋅∘C and that of steam is 2.01 J/g⋅∘C, the heat of fusion for water is 6.02 kJ/mol, and the heat of vaporization for water is 40.7 kJ/mol.

Solutions

Expert Solution

Given data:

The specific heat capacity of ice (Cice) = 2.09 J/g⋅∘C

The heat of fusion for ice (Hf) = 6.02 kJ/mol

The specific heat capacity of water (Cwater) = 4.18 J/g⋅∘C

The heat of vaporization for water (Hv)= 40.7 kJ/mol

The specific heat capacity of steam (Csteam) = 2.01 J/g⋅∘C

Ice (s) Ice (s) water (l) steam (g) steam (g)

(-10 oC) (0 oC) (100 oC) (114 oC)

(T1) (T2) (T3) (T4)

We know that, the specific heat capacity of a substance,

C = Q/m(T2-T1), then Q = C*m*(T2-T1) (In general)

Here, Q = Cice*m*(T2-T1) + Hf*n + Cwater*m*(T3-T2) + Hv*n + Csteam*m*(T4-T3)

m = mass of ice, i.e. 10 g., n = no. of moles of ice, i.e. 10/18 = 0.556 mol, T2-T1 = 10, T3-T2 = 100 and T4-T3 = 14

Q = 2.09*10*10 + 6.02*1000*0.556 + 4.18*10*100 + 40.7*1000*0.556 + 2.01*10*14

= 209 + 3347.12 + 4180 + 22629.2 + 281.4

= 30646.72 J

= 30.65 KJ

Therefore, 30.65 KJ of heat is required to warm 10.0 g of ice, initially at -10.0 oC, to steam at 114.0 oC.


Related Solutions

How much heat (in kJ) is required to warm 13.0 g of ice, initially at -10.0...
How much heat (in kJ) is required to warm 13.0 g of ice, initially at -10.0 ∘C, to steam at 114.0 ∘C? The heat capacity of ice is 2.09 J/g⋅∘C and that of steam is 2.01 J/g⋅∘C.
How much heat (in kJ) is required to warm 11.0 g of ice, initially at -10.0...
How much heat (in kJ) is required to warm 11.0 g of ice, initially at -10.0 ∘C, to steam at 112.0 ∘C? The heat capacity of ice is 2.09 J/g⋅∘C and that of steam is 2.01 J/g⋅∘C. ___?____ kJ
How much heat (in kJ) is required to warm 10.0 g of ice, initially at -15.0...
How much heat (in kJ) is required to warm 10.0 g of ice, initially at -15.0 ∘C, to steam at 111.0 ∘C? The heat capacity of ice is 2.09 J/g⋅∘C and that of steam is 2.01 J/g⋅∘C.
1.How much heat (in kJ) is required to warm 13.0 g of ice, initially at -10.0...
1.How much heat (in kJ) is required to warm 13.0 g of ice, initially at -10.0 ∘C, to steam at 109.0 ∘C? The heat capacity of ice is 2.09 J/g⋅∘C and that of steam is 2.01 J/g⋅∘C. 2. How much energy is released when 42.5 g of water freezes? 3. Suppose that 0.86 g of water condenses on a 75.0 g block of iron that is initially at 24 ∘C. If the heat released during condensation goes only to warming...
How much heat in kilojoules is required to warm 10.0 g of ice, initially at -20.0...
How much heat in kilojoules is required to warm 10.0 g of ice, initially at -20.0 ∘C, to steam at 105 ∘C. The heat capacity of ice is 2.09 J/g∘C and that of steam is 1.84 J/g∘C. Need help solving it. I got 30.603, but I do not if it is right.
How much heat (in kJ) is required to warm 13.0 g of ice, initially at -15.0...
How much heat (in kJ) is required to warm 13.0 g of ice, initially at -15.0 ∘C, to steam at 110.0 ∘C? The heat capacity of ice is 2.09 J/g⋅∘C and that of steam is 2.01 J/g⋅∘C.
How much heat (in kJ) is required to warm 11.0 g of ice, initially at -11.0...
How much heat (in kJ) is required to warm 11.0 g of ice, initially at -11.0 ∘C, to steam at 114.0 ∘C? The heat capacity of ice is 2.09 J/g⋅∘C and that of steam is 2.01 J/g⋅∘C.
How much heat (in kJ) is required to warm 13.0 g of ice, initially at -12.0...
How much heat (in kJ) is required to warm 13.0 g of ice, initially at -12.0 ∘C, to steam at 111.0 ∘C? The heat capacity of ice is 2.09 J/g⋅∘C and that of steam is 2.01 J/g⋅∘C.
How much heat (in kJ) is required to warm 11.0 g of ice, initially at -11.0...
How much heat (in kJ) is required to warm 11.0 g of ice, initially at -11.0 ∘C, to steam at 110.0 ∘C? The heat capacity of ice is 2.09 J/g⋅∘C and that of steam is 2.01 J/g⋅∘C.
How much heat (in kJ) is required to warm 13.0 g of ice, initially at -13.0...
How much heat (in kJ) is required to warm 13.0 g of ice, initially at -13.0 ∘C, to steam at 113.0 ∘C? The heat capacity of ice is 2.09 J/g⋅∘C and that of steam is 2.01 J/g⋅∘C.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT