In a certain process,500 cal of heat are supplied to a system consisting of a gas confined in a cylinder.At the same time,500 J of work are done by the gas by expansion.The increase in thermal energy of the gas is approximately
A)zero
B)1.00 kJ
C)1.59 kJ
D)2.09 kJ
E)2.59 kJ

Question

Quizplus · Accepted Answer

The increase in thermal energy of the gas can be calculated using the first law of thermodynamics:
ΔU = Q - W
where
ΔU = change in thermal energy of the gas
Q = heat supplied to the system
W = work done by the gas
Substituting the given values, we get
ΔU = 500 J - 500 J = 0 J
Therefore, the increase in thermal energy of the gas is zero. However, the option for zero is not given in the choices. The closest option is C, which is 1.59 kJ. This is incorrect, as the increase in thermal energy is zero, and any non-zero value would be incorrect. Therefore, none of the given choices are the best choice.

In a Certain Process,500 Cal of Heat Are Supplied to a System