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What is the final temperature of 0.3kg of water initially at 20 Celsius after 35 KJ Of heat is added?

What is the final temperature of 0.3kg of water initially at 20 Celsius after 35 KJ-example-1
User Designosis
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1 Answer

1 vote

Answer:

Option A. 48°C

Step-by-step explanation:

The following data were obtained from the question:

Mass (m) = 0.3 Kg

Initial temperature (T1) = 20°C

Heat (Q) added = 35 KJ

Specific heat capacity (C) = 4.18 KJ/Kg°C

Final temperature (T2) =..?

The final temperature of water can be obtained as follow:

Q = MC(T2 – T1)

35 = 0.3 x 4.18 (T2 – 20)

35 = 1.254 (T2 – 20)

Clear the bracket

35 = 1.254T2 – 25.08

Collect like terms

1254T2 = 35 + 25.08

1.254T2 = 60.08

Divide both side by the coefficient of T2 i.e 1.254

T2 = 60.08/1.254

T2 = 47.9 ≈ 48°C

Therefore, the final temperature of the water is 48°C.

User Tony S Yu
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