• # question_answer P.T graph of an ideal gas of equal number of moles of different volumes are plotted as shown. Choose the correct answer   A) ${{V}_{1}}={{V}_{2}}>{{V}_{3}}={{V}_{4}}$ B) ${{V}_{1}}={{V}_{2}}<{{V}_{3}}={{V}_{4}}$ C) ${{V}_{1}}={{V}_{2}}={{V}_{3}}={{V}_{4}}$ D) ${{V}_{4}}>{{V}_{3}}>{{V}_{2}}>{{V}_{1}}$

 [a] In isochoric process, $V=$ constant or $P\alpha T$ i.e., P-T graph is a straight line passing through origin. But since $P=(nRT)\frac{1}{V}$ Slope of the straight line $\alpha \frac{1}{V}$ ${{(\text{slope)}}_{12}}<{{(\text{slope)}}_{34}}$ ${{V}_{1}}={{V}_{2}}>{{V}_{3}}={{V}_{4}}$