Answer
Verified
399k+ views
Hint:
The internal energy is the measure of energy within a thermodynamic system, excluding its kinetic and potential energy. But it includes any gain or loss of energy due to any change in its internal state.
Formula used
Work done:
$W = - P\Delta V\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,(1)$
The first law of thermodynamics states that the change in internal energy of a system equals the net heat transfer into the system plus the net work done on the system.
Change in internal energy:
$\Delta U = q + W\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,(2)$
Complete step by step answer:
The first law of thermodynamics is based on the law of conservation of energy. According to it the total energy of a system always remains conserved, it can neither be created nor destroyed but it can be transformed from one form to another.
The First Law states that the internal energy of a system has to be equal to the work that is being done on the system, plus or minus the heat that flows in or out of the system and any other work that is done on the system.
Mathematically it is written as: $\Delta U = q + W$, where q and W vary depending on how the change is being carried out.
The question asks us to find the change in internal energy and for that we need the amount of heat produced and work done.
We can find the amount of work done from equation (1): $W = - P\Delta V$
According to the question the volume is constant so the change in volume will be 0.
So, W = -P(0) =0
Hence the amount of work done is zero.
The question has already given the value of heat produced, which is = 200 J.
Now, put the values of work done and heat in equation (2):
$\Delta U = q + W$
Since W = 0, $\Delta U = q$
= 200 J
The change in internal energy is 200 J.
So, the correct option is: (A).
Note:
Always be careful while putting the values and their signs in the equations. The value of ‘q’ is negative when the system releases heat and it is positive when the system absorbs heat. Also W is negative when work is done by the system and it is positive when work is done on the system.
The internal energy is the measure of energy within a thermodynamic system, excluding its kinetic and potential energy. But it includes any gain or loss of energy due to any change in its internal state.
Formula used
Work done:
$W = - P\Delta V\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,(1)$
The first law of thermodynamics states that the change in internal energy of a system equals the net heat transfer into the system plus the net work done on the system.
Change in internal energy:
$\Delta U = q + W\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,(2)$
Complete step by step answer:
The first law of thermodynamics is based on the law of conservation of energy. According to it the total energy of a system always remains conserved, it can neither be created nor destroyed but it can be transformed from one form to another.
The First Law states that the internal energy of a system has to be equal to the work that is being done on the system, plus or minus the heat that flows in or out of the system and any other work that is done on the system.
Mathematically it is written as: $\Delta U = q + W$, where q and W vary depending on how the change is being carried out.
The question asks us to find the change in internal energy and for that we need the amount of heat produced and work done.
We can find the amount of work done from equation (1): $W = - P\Delta V$
According to the question the volume is constant so the change in volume will be 0.
So, W = -P(0) =0
Hence the amount of work done is zero.
The question has already given the value of heat produced, which is = 200 J.
Now, put the values of work done and heat in equation (2):
$\Delta U = q + W$
Since W = 0, $\Delta U = q$
= 200 J
The change in internal energy is 200 J.
So, the correct option is: (A).
Note:
Always be careful while putting the values and their signs in the equations. The value of ‘q’ is negative when the system releases heat and it is positive when the system absorbs heat. Also W is negative when work is done by the system and it is positive when work is done on the system.
Recently Updated Pages
Basicity of sulphurous acid and sulphuric acid are
Three beakers labelled as A B and C each containing 25 mL of water were taken A small amount of NaOH anhydrous CuSO4 and NaCl were added to the beakers A B and C respectively It was observed that there was an increase in the temperature of the solutions contained in beakers A and B whereas in case of beaker C the temperature of the solution falls Which one of the following statements isarecorrect i In beakers A and B exothermic process has occurred ii In beakers A and B endothermic process has occurred iii In beaker C exothermic process has occurred iv In beaker C endothermic process has occurred
What is the stopping potential when the metal with class 12 physics JEE_Main
The momentum of a photon is 2 times 10 16gm cmsec Its class 12 physics JEE_Main
How do you arrange NH4 + BF3 H2O C2H2 in increasing class 11 chemistry CBSE
Is H mCT and q mCT the same thing If so which is more class 11 chemistry CBSE
Trending doubts
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Write an application to the principal requesting five class 10 english CBSE
Difference Between Plant Cell and Animal Cell
a Tabulate the differences in the characteristics of class 12 chemistry CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
What organs are located on the left side of your body class 11 biology CBSE
Discuss what these phrases mean to you A a yellow wood class 9 english CBSE
List some examples of Rabi and Kharif crops class 8 biology CBSE