Question:

When an ideal monoatomic gas is heated at consant pressure, fraction of heat energy supplied which increases the internal energy of gas, is

Updated On: Jul 2, 2022
  • $ \frac{2}{5}$
  • $ \frac{3}{5} $
  • $\frac{3}{7} $
  • $\frac{3}{4}$
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The Correct Option is B

Solution and Explanation

For monatomic gas $\gamma=\frac{C_{p}}{C_{V}}=\frac{5}{3}$ We know that $Q =\mu C_{p} \Delta T$ and $\Delta U =\mu C_{V} \Delta T$ $\frac{\Delta U}{\Delta Q} =\frac{C_{V}}{C_{p}}=\frac{3}{5}$ ie, fraction of heat energy to increate the internal energy be $\frac{3}{5}$.
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Concepts Used:

Specific Heat Capacity

Specific heat of a solid or liquid is the amount of heat that raises the temperature of a unit mass of the solid through 1°C.

Molar Specific Heat:

The Molar specific heat of a solid or liquid of a material is the heat that you provide to raise the temperature of one mole of solid or liquid through 1K or 1°C. 

Specific Heat at Constant Pressure or Volume:

The volume of solid remains constant when heated through a small range of temperature. This is known as specific heat at a constant volume. It is denoted as CV.

The pressure of solid remains constant when heated through a small range of temperature. This is known as specific heat at constant pressure which can be denoted as CP.