PROBLEM 104P

If 1.10 g of steam at 100.0 °C condenses into 38.5 g of water, initially at 27.0 °C, in an insulated container, what is the final temperature of the entire water sample? Assume no loss of heat into the surroundings.

Solution 104P

Here, we have to calculate the final temperature of the entire water sample.

Step 1:

Heat capacity of a system is given by

q = m x Cs x T …………..(1)

Where, Heat ( q ), Mass ( m ), Temperature ( T ), and Specific Heat Capacity of a Substance ( Cs ) respectively.

Step 2:

Given that

For hot system

M = 1.10 g

Ti = 100.0 °C

Cs = 4.18 J/g . °C

Similarly for cold system

M = 38.5 g

Ti = 27 °C

Cs = 4.18 J/g . °C

Tf =?