Answer:
final temperature of the combined system T = 84.78°C
Explanation:
Given data
mass of iron ( m1 ) = 20 kg
temperature iron ( t1 ) = 12 °C
mass of water ( m2 ) = 30 kg
temperature of water ( t2 ) = 90 °C
To find out
final temperature of the combined system
solution
we know the energy requirement formula to rise the temp
energy = mass × specific heat × change in temperature
we combine both system so both energy will be added
and
we know specific heat of iron ( c1 ) = 0.450 kJ/kg
and specific heat of water ( c2 ) = 4.186 kJ/kg
4.186 joule/gram °C
now combine both energy
energy = mass, m1 × specific heat, c1 × change in temperature, T - t1 + mass, 2 × specific heat, c2 × change in temperature, T - t2
energy = 20 × 0.450 × T - 12 + 30 × 4.186 × T -90
(20)(0.45)(T−12)=(30)(4.186)(90−T)
final temperature of the combined system T = 84.78°C
