In a containes of negligible heat capacity, 200g ice at $0 ^\circ C $ and 100g steam at $ 100 ^\circ C $ are added to 200g of water that has temperature $ 55 ^\circ C $ . Assume no heat is lost to the surroundings and the pressure in the container is constant 1 atm. What is the final temperature the System ?
head required by ice and water to go up to $ 100^\circ C = m_1L+ m_1 sw \triangle T + mw sw \triangle T$ $ = 200 \times 80+200 \times 1 \times 100+200 \times 1 \times 45 $ $= 16,000+20,000+9,000 = 45,000 cal$ $ = give by m_s mass of steam = ms L$ $ ms = { 45,000 \over 540 } = 83.3 g$ $ convert into waters of 100 ^\circ C $ $ Total water = 200 + 200 + 83.3 = 483.3 g$ $ steam left = 100 - 83.3 = 16.79$