1. (a) In reaching equilibrium, how much heat transfer occurs from 1.4 kg of water at 40°C when it is placed in contact with 1.4 kg of 20°C water? Specific heat of water c=4186 J/(kg°C) Hint: If the masses of water are equal, what is the equilirium temperature of the water mixture? Q= (b) What is the change in entropy due to this heat transfer? AS total J/K (c) How much work is made unavailable, taking the lowest temperature to be 20°C? W₁ unavailable =

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### Heat Transfer and Entropy Change in Water Mixture

#### Problem Statement:
1. (a) In reaching equilibrium, how much heat transfer occurs from 1.4 kg of water at 40°C when it is placed in contact with 1.4 kg of 20°C water? The specific heat of water \( c = 4186 \) J/(kg°C).

   **Hint:** If the masses of water are equal, what is the equilibrium temperature of the water mixture?

   \[
   Q = \boxed{\phantom{0000}} \text{ J}
   \]

(b) What is the change in entropy due to this heat transfer?

   \[
   \Delta S_{\text{total}} = \boxed{\phantom{0000}} \text{ J/K}
   \]

(c) How much work is made unavailable, taking the lowest temperature to be 20°C?

   \[
   W_{\text{unavailable}} = \boxed{\phantom{0000}} \text{ J}
   \]
Transcribed Image Text:### Heat Transfer and Entropy Change in Water Mixture #### Problem Statement: 1. (a) In reaching equilibrium, how much heat transfer occurs from 1.4 kg of water at 40°C when it is placed in contact with 1.4 kg of 20°C water? The specific heat of water \( c = 4186 \) J/(kg°C). **Hint:** If the masses of water are equal, what is the equilibrium temperature of the water mixture? \[ Q = \boxed{\phantom{0000}} \text{ J} \] (b) What is the change in entropy due to this heat transfer? \[ \Delta S_{\text{total}} = \boxed{\phantom{0000}} \text{ J/K} \] (c) How much work is made unavailable, taking the lowest temperature to be 20°C? \[ W_{\text{unavailable}} = \boxed{\phantom{0000}} \text{ J} \]
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