1)What mass of steam at 100°C must be mixed with 165 g of ice at its
melting point, in a thermally insulated container, to produce liquid
water at 55°C?
2) An insulated Thermos contains 143 cm3 of hot coffee at 73.0°C. You put a 12.0 g ice cube at its melting point to cool the coffee. By how many degrees has your coffee cooled once the
ice has melted and equilibrium is reached? Treat the coffee as though it were pure water and
neglect energy exchanges with the environment. 3) A 180 g copper bowl contains 205 g of water, both at 20.0°C. A very hot 300 g copper cylinder is dropped into the water, causing the water to boil, with 5.95 g being converted to
steam. The final temperature of the system is 100°C. Neglect energy transfers with the
environment.
(a) How much energy is transferred to the water as heat?
kcal
(b) How much energy is transferred to the bowl?
kcal
(c) What is the original temperature of the cylinder?
°C 4) Ethyl alcohol has a boiling point of 78.0°C, a freezing point of −114°C, a heat of vaporization of 879 kJ/kg, a heat of fusion of 109 kJ/kg, and specific heat of 2.43 kJ/kg · K.
How much energy must be removed from 0.525 kg of ethyl alcohol that is initially a gas at
78.0°C so that it becomes a solid at −114°C?
kJ 5) A sphere of radius 0.500 m, temperature 26.3°C, and emissivity 0.825 is isolated in an
environment of temperature 77.0°C.
(a) At what rate does the sphere emit thermal radiation?
W (b) At what rate does the sphere absorb thermal radiation?
W
(c) What is the sphere's net rate of energy exchange?
W 6) Consider the slab shown in the figure below. Suppose that L = 29.0 cm, A = 82.0 cm2, and the material is copper. If TH = 132°C, TC =
11.0°C, and a steady state is reached, find the conduction rate through
the slab.
J/s 7) Oxygen gas having a volume of 1080 cm3 at 30.0°C and 1.01 ✕ 105 Pa expands until its
volume is 1490 cm3 and its pressure is 1.06 ✕ 105 Pa.
(a) Find the number of moles of oxygen present.
mol
(b) Find the final temperature of the sample.
°C 8) Suppose 1.00 L of a gas with γ = 1.3, initially at 291 K and 1.60 atm, is suddenly
compressed adiabatically to half its initial volume.
(a) Find its final pressure.
atm
(b) Find its final temperature.
K
(c) If the gas is cooled back to 291 K at constant pressure, what is its final volume?

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