3.0kg of an a molten (liquid) alloy with a melting point of 80°C is initially at temperature T. It is placed in an insulated container with a mass M of water initially at 50°. For this alloy, the specific heat is 600- when it is in its liquid phase, J kg K J and 400- when it is in its solid phase. The latent heat of fusion for the kg K alloy is 2.5 × 105. The specific heat for water is 41867 2. If M is 1.5kg, and the final state once equilibrium has been reached is water and molten alloy in equilibrium at 90°C, what was T? (a) 140°C (b) 180°C ***230°C (d) 310°C (e) 400°C J kg K 3. Assume that T 200°C. What range of masses M of the water are consistent with an equilibrium state of water in equilibrium with alloy at 80°C. (a) 1.1 to 4.3kg (b) Ola a

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I understand the solution for question 2 but could someone walk me through the solution to question 3 and 4 please. 

3.0kg of an a molten (liquid) alloy with a melting point of 80°C is initially
at temperature T. It is placed in an insulated container with a mass M of
water initially at 50°.
For this alloy, the specific heat is 600kg K when it is in its liquid phase,
when it is in its solid phase. The latent heat of fusion for the
J
and 400-
kg K
alloy is 2.5 × 105,
X
J
The specific heat for water is 4186,
kg
2. If M is 1.5kg, and the final state once equilibrium has been reached is
water and molten alloy in equilibrium at 90°C, what was T?
(a) 140°C
(b) 180°C
(c) ***230°C
(d) 310°C
(e) 400°C
3. Assume that T =
200°C. What range of masses M of the water are
consistent with an equilibrium state of water in equilibrium with alloy
at 80°C.
(a) 1.1 to 4.3kg
(b) 1.1 to 6.0kg
(c) 1.7 to 6.0kg
(d) 1.7 to 7.1kg
(e) ***1.7 to 7.7kg
J
kg K.
=
4. Suppose that T 200°C, and that M 12kg. What is the equilib-
rium temperature of the solid alloy and water?
(a) 55°C
(b) 59°C
(c) 64°C
(d) ***69°C
(e) 75°C
=
Transcribed Image Text:3.0kg of an a molten (liquid) alloy with a melting point of 80°C is initially at temperature T. It is placed in an insulated container with a mass M of water initially at 50°. For this alloy, the specific heat is 600kg K when it is in its liquid phase, when it is in its solid phase. The latent heat of fusion for the J and 400- kg K alloy is 2.5 × 105, X J The specific heat for water is 4186, kg 2. If M is 1.5kg, and the final state once equilibrium has been reached is water and molten alloy in equilibrium at 90°C, what was T? (a) 140°C (b) 180°C (c) ***230°C (d) 310°C (e) 400°C 3. Assume that T = 200°C. What range of masses M of the water are consistent with an equilibrium state of water in equilibrium with alloy at 80°C. (a) 1.1 to 4.3kg (b) 1.1 to 6.0kg (c) 1.7 to 6.0kg (d) 1.7 to 7.1kg (e) ***1.7 to 7.7kg J kg K. = 4. Suppose that T 200°C, and that M 12kg. What is the equilib- rium temperature of the solid alloy and water? (a) 55°C (b) 59°C (c) 64°C (d) ***69°C (e) 75°C =
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