Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason $R$.

Assertion $A$ : If $dQ$ and $dW$ represent the heat supplied to the system and the work done on the system respectively. Then according to the first law of thermodynamics $d Q=d U-d W$.

Reason $R :$ First law of thermodynamics is based on law of conservation of energy.

In the light of the above statements, choose the correct answer from the option given below :

  • A$A$ is correct but $R$ is not correct
  • B$A$ is not correct but $R$ is correct
  • CBoth $A$ and $R$ are correct and $R$ is the correct explanation of $A$
  • DBoth $A$ and $R$ are correct but $R$ is not the correct explanation of $A$
JEE MAIN 2023, Medium
art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    One mole of an ideal gas is taken from a to $b$ along two paths denoted by the solid and the dashed lines as shown in the graph below. If the work done along the solid line path is $\mathrm{w}_{\mathrm{s}}$ and that along the dotted line path is $w_d$, then the integer closest to the ratio $w_d / w_5$ is
    View Solution
  • 2
    At constant pressure how much fraction of heat supplied to gas is converted into mechanical work?
    View Solution
  • 3
    $Q$ amount of heat is given to $0.5\  mole$ of an ide al mono-atomic gas by a process $TV^n$  constant. Following graph shows variation of temperature with $Q$ . Find value of $n$.
    View Solution
  • 4
    A cylinder fitted with a piston contains $0.2 \,moles$ of air at temperature $27°C.$ The piston is pushed so slowly that the air within the cylinder remains in thermal equilibrium with the surroundings. Find the approximate work done by the system if the final volume is twice the initial volume ...... $J$
    View Solution
  • 5
    An adiabatic process occurs at constant
    View Solution
  • 6
    A litre of dry air at $STP$ expands adiabatically to a volume of $3$ litres. If $\gamma=1.40,$ the work done by air is$(3^{1.4}=4.6555)$ [Take air to be an ideal gas $]$
    View Solution
  • 7
    Suppose ideal gas equation follows $V{P^3}$= constant. Initial temperature and volume of the gas are $T$ and $V$ respectively. If gas expand to $27V$ then its temperature will be come
    View Solution
  • 8
    One mole of an ideal gas $(\gamma  = 1.4)$ is adiabatically compressed so that its temperature rises from $27\,^oC$ to $35\,^oC$. The change in the internal energy of the gas is  .... $J$ (given $R = 8.3 \,J/mole/K$)
    View Solution
  • 9
    A diatomic gas, having $C_{p}=\frac{7}{2} R$ and $C _{ v }=\frac{5}{2} R ,$ is heated at constant pressure. The ratio $dU : dQ : dW :$
    View Solution
  • 10
    An ideal gas undergoes a thermodynamics cycle as shown in figure. Which of the following graphs represents the same cycle?
    View Solution