A heat energy equal to 6300 J is required to heat 10.75 g of ice to steam.
Explanation:
Given:
Amount of transferred energy = Q =?
Mass of ice (water) = m = 10.75 g
Initial temperature of ice =
![T(i) = -22\°C](https://img.qammunity.org/2021/formulas/chemistry/middle-school/slmrhu7f4ej77wppr9ugyl0hfsof1v4b9l.png)
Final temperature of steam =
![T(f) = 118\°C](https://img.qammunity.org/2021/formulas/chemistry/middle-school/sm0lobkttqidx99p06z4ppplng3yooye13.png)
Formula for Heat capacity is given by
Q = m×c×Δt ........................................(1)
where:
Q = Heat capacity of the substance (in J)
m=mass of the substance being heated in grams(g)
c = the specific heat of the substance in J/(g.°C)
Δt = Change in temperature (in °C)
Δt = (Final temperature - Initial temperature) =
Specific heat of water is c = 4.186 J /g. °C
Substituting these in equation (1), we get
Q = m×c×Δt =
![m* c* (T(f)-T(i))](https://img.qammunity.org/2021/formulas/chemistry/middle-school/1fybjhfqdy3pb4w59bsi4bhsehrlbczqrn.png)
![Q = 10.75* 4.186* (118-(-22))\\ Q= 10.75* 4.186* 140 = 6299.93\ J](https://img.qammunity.org/2021/formulas/chemistry/middle-school/kp9ml9g3kmk268v8vs0fqsks3pypgtqyrq.png)
Required heat energy is equal to 6299.93 Joules ≅ 6300 Joules.