in a certain process, 500 cal of heat are supplied to a system, and at the same time 100 joules of work are done. what is the increase in the internal energy of the system
change units to either cal,or joule, then subtract.
To find the increase in the internal energy of the system, we need to consider the conservation of energy principle. According to the first law of thermodynamics or the conservation of energy principle, the change in internal energy (ΔU) of a system can be calculated by the equation:
ΔU = Q - W
where ΔU is the change in internal energy, Q is the heat supplied to the system, and W is the work done by the system.
In this case, the heat supplied (Q) is 500 calories, and the work done (W) is 100 joules. However, we need to express both Q and W in the same unit. Since 1 calorie is equal to approximately 4.184 joules, we convert the heat supplied to joules:
Q = 500 calories * 4.184 joules/calorie
Q = 2092 joules
Now we can substitute the values into the equation:
ΔU = Q - W
ΔU = 2092 joules - 100 joules
ΔU = 1992 joules
Hence, the increase in the internal energy of the system is 1992 joules.