# A-level Physics (Advancing Physics)/Specific Heat Capacity/Worked Solutions

**1. How much work would it take to heat 100 kg of liquid water from 20 °C to 36.8 °C?**

**2. How much work would it take to heat a well-insulated room from 15 °C to 21 °C, if the room is a cube with side length 10m, and the density of the air is 1.2kgm ^{−3}?**

**3. A 10 kg block of iron at 80 °C is placed in the room above once it has reached 21 °C. If the iron cools by 40 °C, what is the new temperature of the room?**

Energy must be conserved, so:

°C

So, the new temperature of the room is 21.149 °C.