Question

Answer the following questions:

a) A sample of lead with a mass of 1.45 kg is heated until it reaches its melting point at 330 C. The lead is then heated further until it has entirely melted. During this process, the lead absorbs a total of 4.46 * 10 ^ 4 J as heat. What is the temperature at which the lead is initially heated?

b) Gallium melts at 29.78 C, a temperature that can be achieved by the atmosphere at Earth's surface. In fact, gallium can melt in your hand. Suppose a person holds 0.35 kg of gallium at its melting point. How much energy must be transferred as heat to the gallium in order for it to completely melt?

Answer #1

A 4.21 kg lead billet is to be melted for a casting operation.
Lead has a melting point of 328°C, a specific heat capacity of 128
J/(kg·°C), and a latent heat of fusion of 23,200 J/kg. (use correct
number of significant figures in your final answer.)
(a) Calculate the amount of heat required to heat the lead from
a starting temperature of 21.7°C to its melting point of 328°C.
(b) Calculate the amount of heat needed to melt the lead...

A lead bullet of unknown mass leaves a rifle at a temperature of
87 C and hits a steel plate. Upon impact exactly half of the
bullet's mass melts. Assume that only 40% of the bullet's initial
kinetic energy goes into increasing its temperature and then
partially melting it. What was the initial speed of the bullet?
melting temperature of LEAd: 327 C specific heat of Lead: 0.13E3
J/(Kg.K) Latent heat of fusion: 22.9E3 J/kg

Answer the following questions:
a) Lake Superior contains about 1.20 * 10 ^ 16 kg of water,
whereas Lake Erie contains only 4.8 * 10 ^ 14 kg of water. Suppose
aliens use these two lakes for cooking. They heat Lake Superior to
100 C and free Lake Erie to 0.0 C. Then they mix the two lakes
together to make a "lake shake." What would be the final
temperature of the mixture? Assume that the entire energy transfer
by...

A heat engine that has maximum efficiency starts working by
using 1 kg of water with initial temperature Ti = 373K as a hot
reservoir, and 1 kg of ice at T0 = 273K as its cold reservoir. As
the engine goes through cycles, the water cools, and the ice melts.
At some point, all of the ice will be melted.
(a) What is the temperature of the water reservoir at that
time?
(b) What is the maximal amount of...

A 2.03-g lead bullet traveling at 508 m/s strikes a target,
converting its kinetic energy into thermal energy. Its initial
temperature is 40.0°C. The specific heat is 128 J/(kg · °C), latent
heat of fusion is 24.5 kJ/kg, and the melting point of lead is
327°C.
(a) Find the available kinetic energy of the bullet.
J
(b) Find the heat required to melt the bullet.
J

1.50 kg of liquid lead at 600.5K is combined with
9.75kg of solid aluminum at -110F in an insulated container. What
is the final temperature?
Given the melting point of lead is 600.5K and its heat
of fusion is 24.5*10^3 J/kg. Specific heat for lead is 130J/kg•K
and aluminum is
910J/kg•K

You have 1.45 kg of water at 27.4°C in an insulated container of
negligible mass. You add 0.680 kg of ice that is initially at
-22.4°C. Assume no heat is lost to the surroundings and the mixture
eventually reaches thermal equilibrium. If all of the ice has
melted, what is the final temperature (in °C, round to 2
decimal places) of the water in the container? Otherwise
if some ice remains, what is the mass of ice (in kg, round...

Answer the following questions:
a) In 1992, 1.804 * 10 ^ 6 kg of silver was produced in the
United States. What mass of ice must be melted so that this mass of
liquid silver can solidify? Assume that both substances are brought
into contact at melting temperatures. The latent heat of fusion for
silver is 8.82 * 10 ^ 4 J / kg.
b) The lowest temperature measured on the surface of a planetary
body in the solar system...

Part A IN gams: In an experiment, a 0.270-kg piece of ceramic
superconducting material at 17 °C is placed in liquid nitrogen at
its boiling point (−195.8 °C) to cool. The nitrogen is in a
perfectly insulated flask that allows the gaseous N2 to escape
immediately. How much mass of liquid nitrogen will be boiled away?
(Take the specific heat of the ceramic material to be the same as
that of glass.)
Part B In m/s: A 85.0-gram lead bullet...

troduction
The following document contains a series of questions relating
to content that has been, or will be,
discussed in class. Please be aware that, on first assignment,
not everything contained in this
problem set will have been addressed directly in class.
However, all content will be addressed by
the time this problem set is due. With that said, it would be
a good idea to work on the problems
over the course of their assigned period, completing questions
relating...

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