1230kj of energy are transfered out of a box of gas in to the lower temperature room that it placed in. The gas has 840 of work done on it. How much internal energy did the gas gain or lose?
To determine how much internal energy the gas gained or lost, we need to calculate the net energy transfer.
Given:
Energy transfer out of the box of gas = 1230 kJ
Work done on the gas = 840 kJ
The net energy transfer can be calculated as the difference between the energy transfer out of the box and the work done on the gas.
Net energy transfer = Energy transfer out of the box - Work done on the gas
Net energy transfer = 1230 kJ - 840 kJ
Net energy transfer = 390 kJ
Therefore, the gas gained or lost 390 kJ of internal energy.
To determine the change in internal energy of the gas, we need to consider the energy transfer and the work done on the gas.
The energy transfer out of the gas is given as 1230 kJ, which means the gas loses 1230 kJ of energy.
The work done on the gas is given as 840 J. However, it's important to note that both energy transfer and work should be in the same unit for accurate calculations. Let's convert 840 J to kJ:
840 J = 840/1000 = 0.84 kJ
Now, we can calculate the change in internal energy:
Change in internal energy = Energy transfer - Work done
Change in internal energy = -1230 kJ - 0.84 kJ
Change in internal energy = -1230.84 kJ
Therefore, the gas loses 1230.84 kJ of internal energy.