51,656 views
12 votes
12 votes
when 27 g of water absorbs 1,5000 joules of heat energy the temperature of the water is raised to 57.7 what is the initial temperature of the water

User Jeffrey Yasskin
by
2.6k points

1 Answer

22 votes
22 votes

Answer:

The initial temperature of the water is -75.08 K.

Step-by-step explanation:

Given that,

Mass of water, m = 27 g

Heat absorbed, Q = 1,5000 J

Final temperature of water, T₂ = 57.7 K

The specific heat of water is 4.184 J/​g-K

We know that,


Q=mc\Delta T\\\\Q=mc(T_2-T_1)\\\\(Q)/(mc)=(T_2-T_1)\\\\T_1=T_2-(Q)/(mc)

Put all the values,


T_1=57.7-(15000)/(27* 4.184 )\\\\=-75.08\ K

So, the initial temperature of the water is -75.08 K.

User Fakhriyanto
by
2.4k points