Embibe Experts Solutions for Chapter: Thermodynamics, Exercise 3: Level 3

One mole of a monoatomic gas and one mole of a diatomic gas are initially in the same state. Both gases are expanded isothermally and then adiabatically, such that they acquire the same final state. Choose the correct statement.

An ideal gas is made to undergo the cyclic process shown in the figure below.

Let $\mathrm{\Delta }W$ depict the work done, $\mathrm{\Delta }U$ be the change in internal energy of the gas and $Q$ be the heat added to the gas. Sign of each of these three quantities for the whole cycle will be ($0$ refers to no change)

In a cyclic process $ABCA$ for an ideal gas. In $AB,BC$ and $CA$ process $50 \mathrm{J},20 \mathrm{J}$ and $5 \mathrm{J}$ heat is supplied to an ideal gas. In process $AB$ internal energy of gas increases by $60 \mathrm{J}$ and in process $BC$ work done by gas is $30 \mathrm{J}$. The increase in internal energy of gas in process $CA$ is

For an ideal gas, the internal energy is given by $U=5 pV/2+C,$ where $C$ is a constant. The equation of the adiabats in the $pV$-plane will be

A thermally insulated vessel contains an ideal gas of molecular mass $M$ and a ratio of specific heats $\gamma$. It is moving with speed $v$ and is suddenly brought to rest. Assuming no heat is lost to the surroundings, its temperature increases by,

A certain mass of an ideal diatomic gas contained in a closed vessel is heated. It is observed that half the amount of gas gets dissociated, but the temperature remains constant. The ratio of the heat supplied to the gas to the initial internal energy of the gas will be

An ideal refrigerator has a freezer at a temperature of $-13°\mathrm{C}$. The coefficient of performance of the refrigerator is $5 .$ The temperature of the air (to which heat is rejected) in $°\mathrm{C}$ will be:

A carnot engine working between $200 \mathrm{K}$ and $500 \mathrm{K}$ has a work output of $900 \mathrm{J}$ per cycle. The amount of heat energy supplied to the engine from the source in each cycle is