Thermodynamics

An electric heater supplies heat to a system at a rate of 100 W. If the system performs work at a rate of 75 J/s, then the rate at which internal energy increases will be :

The equilibrium state of a thermodynamic system is described by :
A Pressure
B Total heat
C Temperature
D Volume
E Work done

Choose the most appropriate answer from the options given below:

The equilibrium state of a thermodynamic system is described by :
A. Pressure
B. Total heat
C. Temperature
D. Volume
E. Work done

Choose the most appropriate answer from the options given below:

[Re-NEET 2024]

Two gases A and B are filled at the same pressure in separate cylinders with movable pistons of radius \({r}_{A}\) and \({r}_{B}\), respectively. On supplying an equal amount of heat to both the systems reversibly under constant pressure, the pistons of gas A and B are displaced by 16 cm and 9 cm , respectively. If the change in their internal energy is the same, then the ratio \({\mathrm{r}}_{\mathrm{A}}/{\mathrm{r}}_{\mathrm{B}}\)is equal to

[NEET 2025]

A sample of gas at temperature \(T\) is adiabatically expanded to double its volume. The work done by the gas in the process is \(\left(\right.\) given, \(\left.\gamma=\frac{3}{2}\right)\) :

Two Carnot engines \(A\) and operate in series such that engine \(A\) absorbs heat at \(T_1\) and rejects heat to a sink at temperature \(T\). Engine \(B\) absorbs half of the heat rejected by Engine \(A\) and rejects heat to the sink at \(T_3\). When work done in both the cases is equal, the value of \(T\) is:

[JEE Main 2021, 27 Jul (Shift 2)]

Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: If \(d Q\) and \(d W\) 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:

[JEE Main 2023, 29 Jan (Shift 1)]

A monatomic gas at a pressure \( P \), having a volume \( V \) expands isothermally to a volume \( 2 V \) and then adiabatically to a volume \( 16 \mathrm{~V} \). The final pressure of the gas is (Take \( \gamma=5 / 3 \) )

One mole of an ideal gas expands adiabatically from an initial state \(\left(T_A, V_0\right)\) to final state \(\left(T_f, 5 V_0\right)\). Another mole of the same gas expands isothermally from a different initial state \(\left(T_B, V_0\right)\) to the same final state \(\left(T_f, 5 V_0\right)\). The ratio of the specific heats at constant pressure and constant volume of this ideal gas is \(\gamma\). What is the ratio \(T_A / T_B\) ?

[JEE Advanced 2023]

Two cylinders \( A \) and \( B \) of equal capacity are connected to each other via a stopcock. \( A \) contains an ideal gas at standard temperature and pressure. \( B \) is completely evacuated. The entire system is thermally insulated. The stopcock is suddenly opened. The process is

[NEET 2020]