Single Choice

A monatomic gas expands at constant pressure on heating. The percentage of heat supplied that increases the internal energy of the gas and that is involved in the expansion is

A75%, 25%
B25% 75%
C60%, 40%
Correct Answer
D40%, 60%

Solution

For isobaric expansion of monatomic gas,
Heat supplied, $$\Delta Q=nC_p\Delta T=2.5nR\Delta T$$,
Internal energy change, $$\Delta U=nC_v\Delta T=1.5nR\Delta T$$,
External work,$$ \Delta W=P\Delta V=nR\Delta T$$
So the heat energy is distributed as 3:2 between internal energy and work, i.e. 60%, and 40% respectively.

SIMILAR QUESTIONS

Thermodynamics

Helium gas goes through a cycle $$ABC$$ (consisting of two isochoric and isobaric lines) as shown in figure. Efficiency of this cycle is nearly : (Assume the gas to be close to ideal gas)

Thermodynamics

Two moles of ideal helium gas are in a rubber balloon at $$30^{o}C$$. The balloon is fully expandable and can be assumed to require no energy in its expansion. The temperature of the gas in the balloon is slowly changed to $$35^{o}C$$. The amount of heat required in raising the temperature is nearly $$($$take $$R=8.31 J/ mo 1.K)$$

Thermodynamics

An ideal gas having density $$ 1.7 \times 10^{-3} g $$ at a pressure $$ 1.5 \times 10^5 $$ Pa is filled in a Kundt tube. When the gas is resonated at a frequency of 3.0 kHz, nodes are formed at a separation of 6.0 cm, Calculate the molar heat capacities $$ C_p and C_v $$ of the gas,

Thermodynamics

The average degrees of freedom per molecule for a gas are $$6$$. The gas performs $$25 \ J $$ of work when it expands at constant pressure. The heat absorbed by gas is

Thermodynamics

The average degree of freedom per molecule for a gas are $$6$$. The gas performs $$25 J$$ of work when it expands at a constant pressure. The heat absorbed by gas is

Thermodynamics

The average degrees of freedom per molecule for a gas are $$6$$. The gas performs $$25 \ J $$ of work when it expands at constant pressure. The heat absorbed by gas is

Thermodynamics

The average degree of freedom per molecule for a gas are $$6$$. The gas performs $$25 J$$ of work when it expands at a constant pressure. The heat absorbed by gas is

Thermodynamics

A soap bubble of radius $$r$$ is inflated with an ideal gas. The atmospheric pressure is $$p_0$$, the surface tension of the soap water solution is $$\alpha$$. Find the difference between the molar heat capacity of the gas during its heating inside the bubble and the molar heat capacity of the gas under constant pressure, $$C - C_p$$.

Thermodynamics

Five moles of hydrogen gas are heated from 30$$^o$$C to 60$$^o$$C at constant pressure. Heat given to the gas is (given R $$=$$ 2 cal/mol degree)

Thermodynamics

When an ideal gas $$(\gamma = 5/3)$$ is heated under constant pressure, what percentage of given heat energy will be utilized in doing external work?

Contact Details