A sample 348G sample of stream at 127 Celsius is cooled to 103 Celsius find the change in heat content of the system

1 answer

To find the change in heat content of the system, we first need to calculate the heat lost during the cooling process.

The heat lost can be calculated using the formula:

Q = m * c * ΔT

Where:
Q = heat lost
m = mass of the stream (348g)
c = specific heat capacity of the stream (assuming water, which is 4.18 J/g°C)
ΔT = change in temperature (127°C - 103°C)

ΔT = 127°C - 103°C = 24°C

Plugging in the values:

Q = 348g * 4.18 J/g°C * 24°C
Q = 348g * 4.18 J/g°C * 24°C
Q = 348 * 4.18 * 24
Q = 348 * 100.32
Q = 34904.32 J

Therefore, the heat lost during the cooling process is 34904.32 J.

Since heat content is a state function, the change in heat content of the system will be equal to the negative of the heat lost:

Change in heat content = -34904.32 J

So, the change in heat content of the system during the cooling process is -34904.32 J.