Answer : The mass of ice melted can be, 3.98 grams.
Explanation :
First we have to calculate the moles of ice.
[tex]Q=\frac{\Delta H}{n}[/tex]
where,
Q = energy absorbed = 27.2 kJ
[tex]\Delta H[/tex] = enthalpy of fusion of ice = 6.01 kJ/mol
n = moles = ?
Now put all the given values in the above expression, we get:
[tex]27.2kJ=\frac{6.01kJ/mol}{n}[/tex]
[tex]n=0.221mol[/tex]
Now we have to calculate the mass of ice.
[tex]\text{Mass of ice}=\text{Moles of ice}\times \text{Molar mass of ice}[/tex]
Molar mass of ice = 18.02 g/mol
[tex]\text{Mass of ice}=0.221mol\times 18.02g/mol=3.98g[/tex]
Thus, the mass of ice melted can be, 3.98 grams.