A sample of an ideal gas in the cylinder of an engine is compressed against a constantpressure by having 284 J of work done on it during the compression stroke. At thesame time, 140 J of energy is transferred from the gas to the surroundings as heat.What is the total change in the internal energy (ΔU) of the gas in Joules?
Question
A sample of an ideal gas in the cylinder of an engine is compressed against a constantpressure by having 284 J of work done on it during the compression stroke. At thesame time, 140 J of energy is transferred from the gas to the surroundings as heat.What is the total change in the internal energy (ΔU) of the gas in Joules?
Solution
The first law of thermodynamics states that the change in internal energy (ΔU) of a system is equal to the heat added to the system (Q) minus the work done by the system (W). In mathematical terms, this is expressed as:
ΔU = Q - W
In this case, the work is done on the system, so the sign of the work term is positive. The heat is transferred from the system to the surroundings, so the sign of the heat term is negative.
Given: W = 284 J (work done on the system) Q = -140 J (heat transferred from the system)
Substituting these values into the equation gives:
ΔU = -140 J - 284 J = -424 J
So, the total change in the internal energy of the gas is -424 Joules.
Similar Questions
A gas is compressed at a constant pressure of 0.800 atm from 6.00 L to 3.00 L. In the process, 360 J of energy leaves the gas by heat.(a)What is the work done on the gas? J(b)What is the change in its internal energy? J
A gas in a system has constant pressure. The surroundings around the system lose 62 J of heat and does 474 J of work onto the system. What is the internal energy of the system?*5 points412 J536 J29,388 J7.65 J
A cylinder with a piston holds 4.00 moles of a monatomic gas. The gas in the cylinder absorbs 975 J of energy due to the higher temperature of the environment. At the same time, the cylinder expands to a larger volume, doing 147 J of work on the environment.(a)What is the change in internal energy of the gas in the cylinder (in J)? J(b)What is the change in temperature of the gas (in K)? K
An ideal gas receives 425 J of heat and expands by 1.50 L against an external pressure of 100.0 kPa. What is the change in internal energy of the system? Use-full formula...!ΔW = p ΔV
Measurements show that the enthalpy of a mixture of gaseous reactants decreases by 293.kJ during a certain chemical reaction, which is carried out at a constant pressure. Furthermore, by carefully monitoring the volume change it is determined that 71.kJ of work is done on the mixture during the reaction.Calculate the change in energy of the gas mixture during the reaction. Be sure your answer has the correct number of significant digits. kJIs the reaction exothermic or endothermic? exothermicendothermic
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.