Respuesta :
Answer:
48.7°C
Explanation:
Step one:
given data
Quantity of heat = 4000J
mass of sample= 70g= 0.07kg
initial temperature T1=35°C
Water has a specific heat capacity of 4182 J/kg°C
Required
The final temperature T2
Step two:
Q= mcΔT
4000= 0.07*4182(T2-35)
4000=292.74(T2-35)
4000=292.74T2-10245.9
collect like terms
4000+10245.9=292.74T2
14245.9= 292.74T2
divide both sides by 292.74
T2= 14245.9/ 292.74
T2=48.7°C
The final temperature of the sample will be "48.7°C". To understand the calculation, check below.
Heat and temperaure
According to the question,
Heat quantity, Q = 4000 J
Sample mass, m = 70 g or,
= 0.07 kg
Initial temperature, T₁ = 35°C
Specific heat capacity, c = 4182 J/kg°C
We know the relation,
→ Q = mcΔT
By substituting the values, we get
4000 = 0.07 × 4182 (T₂ - 35)
= 292.74 (T₂ - 35)
= 292 T₂ - 10245.9
Now,
4000 + 10245.9 = 292.74 T₂
14245.9 = 292.74 T₂
T₂ = [tex]\frac{14245.9}{292.74}[/tex]
= 48.7°C
Thus the above answer is correct.
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