A piece of stainless steel weighing 1.55 g absorbs 141 J of heat energy when its temperature increases by 178°C. What is the specific heat of stainless steel?

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Question:

A piece of stainless steel weighing 1.55 g absorbs 141 J of heat energy when its temperature increases by 178°C. What is the specific heat of stainless steel?

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Answer: Specific heat of stainless steel is [tex]0.51J/g^0C[/tex]Explanation:The quantity of heat required to raise the temperature of a substance by one degree Celsius is called the specific heat capacity.[tex]Q=m\times c\times \Delta T[/tex]Q = Heat absorbed= 141 Joulesm= mass of substance = 1.55 gc = specific heat capacity = ?Initial temperature of the water = [tex]T_i[/tex] Final temperature of the water = [tex]T_f[/tex]Change in temperature ,[tex]\Delta T=T_f-T_i=178^0C[/tex]Putting in the values, we get:[tex]141=1.55\times c\times 178^0C[/tex][tex]c=0.51J/g^0C[/tex]The specific heat of stainless steel is [tex]0.51J/g^0C[/tex]

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