Why is the answer to the below question B not C?

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1 Answer
ali ergin
Jun 6, 2018

#"please check the solution section."#

Explanation:

#"let "#
#"specific heat capacity of liquid "c_l ,#
#"specific heat capacity of container "c_c,#
#"mass of container " m_c,#
#"mass of liquid "color(blue)(m),#

#"For two different situations, we need to create two heat "##"exchange equations."#

#"the heat is absorbed by both the liquid in the container."#

#"situation-1:"#
#180cancel(0)=m_c*c_c*cancel(10) + color(blue)(m)*c_l*cancel(10)#
#180=m_c*c_c+m*c_l" "(1)#

#"situation-2:"#
#300cancel(0)=m_c*c_c*cancel(10)+2m*c_l*cancel(10)#
#300=m_c*c_c+2color(blue)(m)*c_l" "(2)#

#"from eq (1)"#
#m_c*c_c=180-color(blue)(m)*c_l#

#"to eq (2)"#

#300=180-color(blue)(m)*c_l+2color(blue)(m)*c_l#

#300-180=color(blue)m*c_l#

#120=color(blue)m*c_l#

#c_l=120/color(blue)(m)#

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