First Law & Internal Energy: JEE Questions & Solutions

10 mole of oxygen is heated at constant volume from 30 ^°C to 40 ^°C. The change in the internal energy of the gas is cal. (The molecular…

A diatomic gas (γ = 1.4) does 100 J of work when it is expanded isobarically. Then the heat given to the gas is J.

The internal energy of a monoatomic gas is 3nRT. One mole of helium is kept in a cylinder having internal cross-sectional area 17 cm² and…

Density of water at 4^°C and 20^°C are 1000 kg/m³ and 998 kg/m³ respectively. The increase in internal energy of 4 kg of water when it is…

10 mole of an ideal gas is undergoing the cyclic process described below, drawn on a P-V diagram with P in Pa and V in m³ (the volume axis…

When 300 J of heat is given to an ideal gas with C_p = 7/2R, its temperature rises from 20^° C to 50^° C keeping its volume constant. The…

In the following p–V diagram, the equation of state along the curved path is given by (V-2)² = 4ap, where a is a constant. The total work…

A thermodynamic system is taken through the cyclic process ABC as shown in the P - V diagram. The total work done by the system during the…

Given are statements for certain thermodynamic variables: [(A)] Internal energy, volume V, and mass M are extensive variables. [(B)]…

Using the given P-V diagram, the work done by an ideal gas along the path ABCD is:

An ideal gas goes from an initial state to final state. During the process, the pressure of the gas increases linearly with temperature. A.…

The magnitude of heat exchanged by a system for the given cyclic process ABC (as shown in the figure) is (in SI units):

During the melting of a slab of ice at 273 K at atmospheric pressure:

Match List-I with List-II. | List-I | List-II | |---|---| | (A) Isobaric | (I) Δ Q = Δ W | | (B) Isochoric | (II) Δ Q = Δ U | | (C)…

An ideal gas has undergone through the cyclic process as shown in the figure. Work done by the gas in the entire cycle is × 10⁻¹ J. (Take π…

A real gas within a closed chamber at 27^° C undergoes the cyclic process as shown in the figure. The gas obeys the PV³ = RT equation for…

1 g of a liquid is converted to vapour at 3 × 10⁵ Pa pressure. If 10% of the heat supplied is used for increasing the volume by 1600 cm³…

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…

The pressure of a gas changes linearly with volume from A to B as shown in the figure. If no heat is supplied to or extracted from the gas,…

A source supplies heat to a system at the rate of 1000 W. If the system performs work at a rate of 200 W, the rate at which internal energy…

Given below are two statements: Statement I: If heat is added to a system, its temperature must increase. Statement II: If positive work is…

1 kg of water at 100^° C is converted into steam at 100^° C by boiling at atmospheric pressure. The volume of water changes from 1.00 ×…

A thermodynamic system is taken through a cyclic process as shown in the P-V diagram. The total work done in the process is