# A 77 g sample of water with a temperature of 30°C is added to 370 g water at 92°C in an insulated container. What is the final temperature after thermal equilibrium is reached?

##### 1 Answer

#### Answer:

The final temperature is 81.3 °C.

#### Explanation:

There are two heat transfers involved in this problem.

#q_1 + q_2 = 0#

The formula for the heat gained or lost by a substance is

#color(blue)(bar(ul(|color(white)(a/a)q = mcΔTcolor(white)(a/a)|)))" "# ∴

#m_1color(red)(cancel(color(black)(c)))ΔT_1 + m_2color(red)(cancel(color(black)(c)))ΔT_2 = 0#

Since

#m_1ΔT_1 = m_2ΔT_2#

In this problem,

The final temperature is 81.3 °C.