A diatomic gas (γ = 1.4$\gamma = 1.4$) does 100 J$100 \text{ J}$ of work when it is expanded isobarically. Then the heat given to the gas ________ J.

Related Formula

PV = nRT$PV = nRT$

Core Logic

From the Ideal Gas Law:

In a V-T$V-T$ graph, the equation of the line represents y = mx$y = mx$, where the slope m$m$ is:

Thus, a higher slope corresponds to a lower pressure.

Step 2: Compare Slopes

From the given figure, the slope of line 2 is greater than the slope of line 1:

Therefore, inversely: P₂ < P₁$P_2 < P_1$ or P₁ > P₂$P_1 > P_2$.

Pattern Recognition

In V-T graphs, steeper lines mean lower Pressure. In P-T graphs, steeper lines mean lower Volume. It's an inverse inverse slope relationship.

Chapter Mix

Class 11 Physics: Thermodynamics