What is the specific latent heat for ice?....Take a look at details below..?

A pupil adds 37 g of ice at #0^oC# to 100 g of water at #30^oC#. The final temperature of water and ice is #0^oC.# No heat is lost or gained from the surroundings.

The specific heat capacity of water ios 4.2 J/#g^oC#.

What is the specific latent heat for ice?

A 47 J/g

B 341 J/g

C 4700 J/g

D 12600 J/g

1 Answer
A08
Apr 22, 2017

B

Explanation:

Assuming that in the final mixture of ice and water, all the ice is melted and becomes water at #0^@"C"#

Heat gained by ice at #0^@"C"# to water at #0^@"C" # #=Q_"gained"=m_"ice"L#
where #L# is latent heat of ice.
#:.Q_"gained"=37L" J"# ......(1)

Heat lost by water at #30^@"C"# to water at #0^@"C" # #=Q_"lost"=m_"water"xxsxxDeltaT#
Inserting varius values we get
#Q_"lost"=100xx4.2xx(30-0)#
#=>Q_"lost"=100xx4.2xx(30-0)=12600" J"# ......(2)

Using Law of conservation of energy and equating (1) and (2) we get
#37L=12600#
#=>L=12600/37#
#=>L=340.5" Jg"^-1#

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