To find the amount of heat transferred, we will need to calculate the change in internal energy using the formula:
ΔU = Q - W
Where:ΔU = change in internal energyQ = heat transferredW = work done
Given:M = 2 kgQ = 180 MJt1 = 20°C = 293 Kt2 = 150°C = 423 K
First, we need to calculate the change in temperature:ΔT = t2 - t1ΔT = 423 K - 293 KΔT = 130 K
Next, we can calculate the change in internal energy using the formula:ΔU = M c ΔT
Where:c = specific heat capacity for water = 4.18 kJ/kg*K
ΔU = 2 kg 4.18 kJ/kgK * 130 KΔU = 1089.2 kJ
Now we can use the formula for heat transfer:Q = ΔU + WW = Q - ΔUW = 180 MJ - 1089.2 kJW = 178911.08 kJ
Therefore, the amount of heat transferred, C, is 178911.08 kJ.
To find the amount of heat transferred, we will need to calculate the change in internal energy using the formula:
ΔU = Q - W
Where:
ΔU = change in internal energy
Q = heat transferred
W = work done
Given:
M = 2 kg
Q = 180 MJ
t1 = 20°C = 293 K
t2 = 150°C = 423 K
First, we need to calculate the change in temperature:
ΔT = t2 - t1
ΔT = 423 K - 293 K
ΔT = 130 K
Next, we can calculate the change in internal energy using the formula:
ΔU = M c ΔT
Where:
c = specific heat capacity for water = 4.18 kJ/kg*K
ΔU = 2 kg 4.18 kJ/kgK * 130 K
ΔU = 1089.2 kJ
Now we can use the formula for heat transfer:
Q = ΔU + W
W = Q - ΔU
W = 180 MJ - 1089.2 kJ
W = 178911.08 kJ
Therefore, the amount of heat transferred, C, is 178911.08 kJ.