Answer:
1) The temperature will be closer to water
2) T = 68.239°C
3) T = 72.142°C
4) T = 69.266 °C
Explanation:
1)
The temperature will be closer to water because the heat capacity of water > heat capacity of coffee.
2)
137(1.089)(T - 23.8) = 137(4.186)(79.8 - T)
⇒(1.089)(T - 23.8) = (4.186)(79.8 - T)
⇒1.089 T - 25.9182 = 334.0428 - 4.186 T
⇒1.089 T + 4.186 T = 334.0428 + 25.9182
⇒5.275 T = 359.961
⇒ T = 68.239°C
3)
137(1.089)(T - 23.8) = 225(4.186)(79.8 - T)
⇒(149.193)(T - 23.8) = (941.85)(79.8 - T)
⇒149.193 T - 3550.7934 = 75159.63 - 941.85 T
⇒149.193 T + 941.85 T = 75159.63 + 3550.7934
⇒1091.043 T = 78710.4234
⇒ T = 72.142°C
4)
137(1.089)(T - 23.8) + 11.7(4.186)(T - 5.2)= 225(4.186)(79.8 - T)
⇒(149.193)(T - 23.8) + 48.9762(T - 5.2) = (941.85)(79.8 - T)
⇒149.193 T - 3550.7934 + 48.9762 T - 254.67624= 75159.63 - 941.85 T
⇒149.193 T + 941.85 T + 48.9762 T = 75159.63 + 3550.7934 + 254.67624
⇒1091.043 T + 48.9762 T = 78710.4234 + 254.67624
⇒1140.0192 T = 78965.09964
⇒ T = 69.266 °C
