Final answer:
The heat given off by the dissolution of NaOH can be calculated using the equation qrxn = -qH₂O. To find qH₂O, we first need to calculate the heat absorbed by the water, qH₂O. We can use the equation q = mcΔT, where q is the heat absorbed, m is the mass of water, c is the specific heat capacity of water, and ΔT is the change in temperature. The heat given off by the dissolution of NaOH is -4,346.69 J.
Step-by-step explanation:
The heat given off by the dissolution of NaOH can be calculated using the equation qrxn = -qH₂O. To find qH₂O, we first need to calculate the heat absorbed by the water, qH₂O. We can use the equation q = mcΔT, where q is the heat absorbed, m is the mass of water, c is the specific heat capacity of water, and ΔT is the change in temperature.
First, we need to calculate the heat absorbed by the water:
qH₂O = (51.55 g) × (4.18 J/g °C) × (49.8 °C - 24.5 °C)
qH₂O = 4,346.69 J
Since qrxn is equal to -qH₂O, the heat given off by the dissolution of NaOH is -4,346.69 J.