Answer:
B. 78 °C.
Step-by-step explanation:
- To solve this problem, we can use the relation:
Q = m.c.ΔT,
where, Q is the amount of heat released from water (Q = - 1500 J).
m is the mass of water (m = 30.0 g).
c is the specific heat capacity of water (c = 4.18 J/g.°C).
ΔT is the difference between the initial and final temperature (ΔT = final T - initial T = final T - 90.0 °C).
∴ (- 1500 J) = (30.0 g)(4.18 J/g.°C)(final T - 90.0 °C)
∴ (final T - 90.0 °C) = (- 1500 J)/(30.0 g)(4.18 J/g.°C) = - 11.96°C.
∴ final T = 90.0 °C - 11.96°C = 78.04°C ≅ 78 °C.
So, the right choice is: B. 78 °C.