Answer
The amount of heat required is $7.42\times 10^5~J$
Work Step by Step
We can find the amount of heat required to raise the temperature by $85.0~ C^{\circ}$:
$Q = m_w~c_w~\Delta T+m_a~c_a~\Delta T$
$Q = (2.00~kg)(4186~J/kg~C^{\circ})(85.0~C^{\circ})+(0.400~kg)(900~J/kg~C^{\circ})(85.0~C^{\circ})$
$Q = 7.42\times 10^5~J$
The amount of heat required is $7.42\times 10^5~J$