In a container of negligible mass, 020 kg of ice at an initial temperature of - 40.0 oC is mixed with a mass m of water that has an initial temperature of 80.0 oC. No heat is lost to the surroundings. If the final temperature of the system is 20.0 oC, what is the mass m of the water that was initially at 80.0 oC

The mass is  

Explanation:

From the question we are told that    

     The mass of ice is  

     The  initial temperature of the ice is  

     The  initial temperature of the water is  

     The  final temperature of the system is

Generally according to the law of energy conservation,

   The  total heat loss is  =  total heat gained

 Now the total heat gain is mathematically represented as

Here   is the energy required to move the ice from

And it mathematically evaluated as

Here the specific heat of ice is  

So  

is the energy to melt the ice

And it mathematically evaluated as

The  latent heat of fusion of ice is  

So  

is the energy to raise the melted ice to

And it mathematically evaluated as

Here the specific heat of water  is  

So

The  heat loss is mathematically evaluated as

So

=>

their crystal patterns have been disrupted by stress

-first use of geothermal energy occurred more than 10,000 years ago in north america by american paleo-indians

-the first industrial use of geothermal energy began near pisa, italy in late 18th century

-in 1904, italian scientist piero ginori conti invented the first geothermal electric power plant in which steam was used to generate the power

-with the above experiment, the first geothermal plant in usa started in 1922 with a capacity of 250 kilowatts

-however, in 1946 first ground-source geothermal heat pump installed at commonwealth building in portland, oregon

-during the 1960’s, pacific gas and electric began operation of first large scale geothermal power plant in san francisco, producing 11 megawatts

-in 1973, when oil crisis began many countries began looking for renewable energy sources and by 1980’s geothermal heat pumps (ghp) started gaining popularity in order to reduce heating and cooling costs

-as effect of climate change started showing results, governments of various countries joined hands to fight against it, for which kyoto protocol was signed in japan in 1997, laid out emission targets for rich countries and required that they transfer funds and technology to developing countries, 184 countries have ratified it

hope this